General Mathematics

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Recent submissions

Any replacements are listed farther down

[2749] viXra:1806.0222 [pdf] submitted on 2018-06-19 08:52:17

Question 472: Some Series

Authors: Edgar Valdebenito
Comments: 8 Pages.

This note presents some numerical series
Category: General Mathematics

[2748] viXra:1806.0220 [pdf] submitted on 2018-06-19 08:54:52

Question 471: The Ramanujan Identity

Authors: Edgar Valdebenito
Comments: 1 Page.

In this note we recall an identity given by Ramanujan.
Category: General Mathematics

[2747] viXra:1806.0214 [pdf] submitted on 2018-06-19 12:56:04

Investigations on the Nature of General Solutions

Authors: Fenasi Kerim
Comments: 2 Pages.

In this paper I am proposing that we should find the general solution for every conceivable problem and how we can achieve such a triumph in mathematics.
Category: General Mathematics

[2746] viXra:1806.0131 [pdf] submitted on 2018-06-11 00:38:50

Refutation of Collatz Conjecture © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 2 Pages. © Copyright 2018 by Colin James III All rights reserved. Note that comments on Disqus are not forwarded or read, so respond to author's email address: info@cec-services dot com.

The Collatz conjecture is not tautologous, and hence refuted, but results in non-contingency (truthity).
Category: General Mathematics

[2745] viXra:1806.0121 [pdf] submitted on 2018-06-09 09:03:57

Collatz Conjecture is False if 0 is Natural Number

Authors: 김만욱
Comments: 1 Page. english is too hard

I showed Collatz conjecture is false if 0 is natural number
Category: General Mathematics

[2744] viXra:1806.0082 [pdf] submitted on 2018-06-08 02:35:12

Derivation of the Limits of Sine and Cosine at Infinity

Authors: Jonathan W. Tooker
Comments: 4 Pages. two figures

This paper examines some familiar results from complex analysis in the framework of hypercomplex analysis. It is usually taught that the oscillatory behavior of sine waves means that they have no limit at infinity but here we derive definite limits. Where a central element in the foundations of complex analysis is that the complex conjugate of a $^\star\mathbb{C}$-number is not analytic at the origin, we introduce the tools of hypercomplex analysis to show that the complex conjugate of a $^\star\mathbb{C}$-number is analytic at the origin.
Category: General Mathematics

[2743] viXra:1806.0063 [pdf] submitted on 2018-06-05 08:39:08

Question 468: a Simple Identity for pi

Authors: Edgar Valdebenito
Comments: 1 Page.

This note presents a trivial formula for pi: pi=3.14159265...
Category: General Mathematics

[2742] viXra:1805.0532 [pdf] submitted on 2018-05-30 16:27:37

Transformation of the Pixels in Tupper's Self-Referential Formula

Authors: Prathamesh Deshmukh
Comments: 33 Pages. This is my first research paper and I would like to have any suggestion or improvement for the paper

My research idea start with a question that if there is some graphical formation at a particular value of k then what can do to change the graphical formation or to change its position, this question leads to my research which has two main ideas 1> How to change any graphical formation into other graphical formation by applying some kind of operation to the value of the k 2> How can this different graphical formation be used as a frame to create a film / motion picture
Category: General Mathematics

[2741] viXra:1805.0501 [pdf] submitted on 2018-05-29 05:38:32

Competencies of Systems Engineer in the Labor Market. an Analysis Based on Neutrosophic Cognitive Mapping.

Authors: Evelyn Jazmín Henríquez Antepara, Jenny Elizabeth Arizga Gamboa, Ruth Elizabeth Paredes Santin, Mélida Rocio Campoverde Méndez, Maikel Leyva-Vázquez
Comments: 9 Pages.

Recently, neutrosophic cognitive maps and its application in decision making have become a topic of significant importance for researchers and practitioners. Furthermore, systems engineering is a demanding career with many interrelated competencies. In this paper system engineering competencies are summarized. Later a framework based on static analysis of neutrosophic cognitive maps applied to competencies modelling and prioritization in presented. A case study based on modelling and prioritization of transversal competencies is developed. The paper ends with conclusion and future research directions.
Category: General Mathematics

[2740] viXra:1805.0500 [pdf] submitted on 2018-05-29 05:39:35

Fundamentals of Neutrosophic Logic and Sets and Their Role in Artificial Intelligence

Authors: Florentin Smarandache, Maikel Leyva-Vázquez
Comments: 6 Pages.

Neutrosophy is a new branch of philosophy which studies the origin, nature and scope of neutralities. This has formed the basis for a series of mathematical theories that generalize the classical and fuzzy theories such as the neutrosophic sets and the neutrosophic logic. In the paper, the fundamental concepts related to neutrosophy and its antecedents are presented. Additionally, fundamental concepts of artificial intelligence will be defined and how neutrosophy has come to strengthen this discipline.
Category: General Mathematics

[2739] viXra:1805.0499 [pdf] submitted on 2018-05-29 05:40:42

Modelado Y Análisis Las Interdependencias Entre Requisitos no Funcionales Mediante Mapas Cognitivos Neutrosóficos

Authors: Ameirys Betancourt-Vázquez, Karina Pérez-Teruel
Comments: 5 Pages.

Nonfunctional requirements refer to global properties of software. They are an important part of the requirement engineering process and play a key role in software quality. Current approaches for modelling nonfunctional requirements interdependencies have limitations for dealing with indeterminacy.
Category: General Mathematics

[2738] viXra:1805.0498 [pdf] submitted on 2018-05-29 05:42:03

Modelo de Recomendación Basado en Conocimiento Empleando Números SVN

Authors: Roddy Cabezas Padilla, José González Ruiz, Milton Villegas Alava, Maikel Leyva Vázquez
Comments: 6 Pages.

Knowledge based recommender systems despite its usefulness and high impact have some shortcomings. Among its limitations are lack of more flexible models, the inclusion of indeterminacy of the factors involved for computing a global similarity. In this paper, a new knowledge based recommendation models based SVN number is presented. It includes data base construction, client profiling, products filtering and generation of recommendation. Its implementation makes possible to improve reliability and including indeterminacy in product and user profile. An illustrative example is shown to demonstrate the model applicability.
Category: General Mathematics

[2737] viXra:1805.0497 [pdf] submitted on 2018-05-29 05:43:24

Modelos Mentales Y Mapas Cognitivos Neutrosóficos Mental Models and Neutrosophic Cognitive Maps

Authors: Maikel Leyva-Vázquez, Rebeca Escobar-Jara, Florentin Smarandache
Comments: 9 Pages.

In this work, elements related to mental models elicitation and analysis are addressed through causal models. Issues related to the need to include indeterminacy in causal relationships through neutrophic cognitive maps are discussed. A proposal for static analysis in neutrosophic cognitive maps is presented. The following activities are included in the proposal: Calculate, measures of centrality, Classify nodes, De-neutrosification, and Ranking nodes. As future works, the incorporation of new metrics of centrality in neutrosophic cognitive maps is proposed. The inclusion of scenario analysis to the proposal is another area of future work.
Category: General Mathematics

[2736] viXra:1805.0496 [pdf] submitted on 2018-05-29 05:44:48

Modelos Para la Evaluación de Competencias en Sistemas de Información Empleando Números SVN

Authors: Evelyn Jazmín Henríquez Antepara, Oscar Omar Apolinario Arzube, Jorge Arturo Chicala Arroyave, Eduardo Antonio Alvarado Unamuno, Maikel Leyva Vázquez
Comments: 8 Pages.

Recently neutrosophic sets and its application to decision making have become a topic of significant importance for researchers and practitioners. The present work addresses one of the most complex aspects of the formative process based on competencies: evaluation. In this paper, a new method for competencies evaluation is developed in a multicriteria framework.
Category: General Mathematics

[2735] viXra:1805.0495 [pdf] submitted on 2018-05-29 05:45:43

Toma de Decisiones Empleando Números SVN Decision Making Using SVN Numbers

Authors: Maikel Leyva Vázquez
Comments: 13 Pages.

Decision-making methods in the presence of indetermination are becoming increasingly important. This work presents general frameworks for decision-making and evaluation. Additionally, different aggregation models are presented. The SVN numbers and the Euclidean distance are used for the neutrality treatment as well as the scoring and accuracy functions to evaluate alternatives. Different illustrative examples for demonstrating the applicability of the proposal are presented.
Category: General Mathematics

[2734] viXra:1805.0388 [pdf] submitted on 2018-05-22 08:38:47

Question 462: Integrals

Authors: Edgar Valdebenito
Comments: 1 Page.

This note presents some integrals for pi.
Category: General Mathematics

[2733] viXra:1805.0352 [pdf] submitted on 2018-05-20 06:56:08

Polynomial Encryption

Authors: Yeray Cachón Santana
Comments: 12 Pages. Feel free to send any comment to ycachon@gmail.com

This paper proposes a new method to encrypt and decrypt a message by special functions formed by Hermite, Laguerre, Tchebychev and Bessel The idea to encrypt a message will be by using base changes from the Taylor base to the bases of those special functions. The Hermite, Lagurrre, Tchebychev and Bessel polynomials are orthogonal, so they form a base set on a Hilbert space. The encryption will be using several sequences of those base changes according to a number sequence. According to Hilbert space, as those are orthogonal polynomials, those functions form a orthogonal base. So, a change base can be done between a Taylor base and those bases - this is the method that will be used in order to encrypt a message.
Category: General Mathematics

[2732] viXra:1805.0260 [pdf] submitted on 2018-05-14 08:45:43

Question 460: A Formula for Pi

Authors: Edgar Valdebenito
Comments: 5 Pages.

This note presents a simple formula for pi.
Category: General Mathematics

[2731] viXra:1805.0077 [pdf] submitted on 2018-05-02 18:01:59

Refutation of Neutrosophy as Generalized from Hegel's Dialectic © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 2 Pages. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

The argument as rendered is not tautologous and a contradiction. This refutes the definition of neutrosophy and consequently invalidates it as a generalization of Hegel's dialectic. Remark: Hegel's dialectical philosophy lacks a quantified and modalized symbolic logic; to map it into a modal logic model checker is hence potentially problematic.
Category: General Mathematics

[2730] viXra:1805.0075 [pdf] submitted on 2018-05-02 22:35:09

Refutation of Quinary Logic in Neutrosophy © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

From the equations as rendered, the notion of ambiguity A (0.5,0.5) is not tautologous but rather truthity. Remark: The abstract of the captioned paper introduces the modal words of possibility and necessity which unfortunately are not mentioned in the text. We conclude that there is no provision in the neutrosophic cube to introduce modal operators. Because neutrosophy has no bivalent square of opposition, but rather a non-bivalent lozenge with a multiple-defined midpoint, the quantified operators are prohibited from definition and hence are disparate from neutrosophy. This means neutrosophic logic is unable to map and support modal or alethic logic.
Category: General Mathematics

[2729] viXra:1805.0074 [pdf] submitted on 2018-05-02 22:43:26

Refutation of the Neutrosophic Lattices for Negated Adjectival Phrases © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

While the equations as rendered are equivalent, they are not tautologous as definitions to commence the paper. Consequently we stop there, evaluate no further, and conclude the premise is refuted of neutrosophic lattices for negated adjectival phrases.
Category: General Mathematics

[2728] viXra:1805.0043 [pdf] submitted on 2018-05-01 13:22:53

Refutation of Neutrosophic Lattices for Negated Adjectival Phrases © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

While the definitions of partial order are equivalent, they are not tautologous definitions to commence the paper. Consequently we stop there, evaluate no further, and conclude the premise is refuted of neutrosophic lattices for negated adjectival phrases.
Category: General Mathematics

[2727] viXra:1805.0033 [pdf] submitted on 2018-05-02 07:50:30

Fixed Point Method , Dottie Number

Authors: Edgar Valdebenito
Comments: 6 Pages.

In this note we discuss the problem of finding approximate solutions of the equation: x=(1/2)*arcsin(2*x*sqrt(1-x^2)),0<=x<=1 , via Fixed Point Iteration Method.
Category: General Mathematics

[2726] viXra:1805.0028 [pdf] submitted on 2018-05-01 01:14:46

A Lattice Theoretic Look: A Negated Approach to Adjectival (Intersective, Neutrosophic and Private) Phrases and More

Authors: Selçuk Topal, Florentin Smarandache
Comments: 11 Pages.

This paper is an extended version of “A Lattice Theoretic Look: A Negated Approach to Adjectival (Intersective, Neutrosophic and Private) Phrases’’ in INISTA 2017. Firstly, some new negations of intersective adjectival phrases and their set-theoretic semantics such as non-red non-cars and red non-carsbare presented. Secondly, a lattice structure is built on positive and negative nouns and their positive and negative intersective adjectival phrases.
Category: General Mathematics

[2725] viXra:1805.0027 [pdf] submitted on 2018-05-01 01:18:05

An Approach to Measuring the Website Quality Based on Neutrosophic Sets

Authors: Dragisa Stanujkic, Florentin Smarandache, Edmundas Kazimieras Zavadskas, Darjan Karabasevic
Comments: 11 Pages.

Gathering the attitudes of the examined respondents would be very significant in some evaluation models. Therefore, an approach to the evaluation of websites based on the use of the neutrosophic set is proposed in this paper. An example of websites evaluation is considered at the end of this paper with the aim to present in detail the proposed approach.
Category: General Mathematics

[2724] viXra:1805.0026 [pdf] submitted on 2018-05-01 01:20:06

A Novel Extension of Neutrosophic Sets and Its Application in BCK/BCI-Algebras

Authors: Seok-Zun Song, Madad Khan, Florentin Smarandache, Young Bae Jun
Comments: 11 Pages.

Generalized neutrosophic set is introduced, and applied it to BCK/BCI-algebras. The notions of generalized neutrosophic subalgebras and generalized neutrosophic ideals in BCK/BCI-algebras are introduced, and related properties are investigated. Characterizations of generalized neutrosophic subalgebra/ideal are considered.
Category: General Mathematics

[2723] viXra:1805.0025 [pdf] submitted on 2018-05-01 01:22:38

Bipolar Complex Neutrosophic Graphs of Type 1

Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, V. Venkateswara Rao
Comments: 19 Pages.

In this paper, we introduced a new neutrosophic graphs called bipolar complex neutrosophic graphs of type1(BCNG1) and presented a matrix representation for it and studied some properties of this new concept. The concept of BCNG1 is an extension of generalized fuzzy graphs of type 1 (GFG1), generalized single valued neutrosophic graphs of type 1 (GSVNG1), Generalized bipolar neutrosophic graphs of type 1(GBNG1) and complex neutrosophic graph of type 1(CNG1.
Category: General Mathematics

[2722] viXra:1805.0024 [pdf] submitted on 2018-05-01 01:24:06

Bipolar Neutrosophic Soft Expert Set Theory

Authors: Mehmet Şahin, Vakkas Uluçay, Said Broumi
Comments: 14 Pages.

In this paper, we introduce for the first time the concept of bipolar neutrosophic soft expert set and its some operations. Also, the concept of bipolar neutrosophic soft expert set and its basic operations, namely complement, union and intersection. We give examples for these concepts.
Category: General Mathematics

[2721] viXra:1805.0022 [pdf] submitted on 2018-05-01 01:27:05

Generalized Neutrosophic Closed Sets

Authors: R. Dhavaseelan, S. Jafari
Comments: 14 Pages.

In this paper, the concept of generalized neutrosophic closed set is introduced. Further, generalized neutrosophic continuous mapping, generalized neutrosophic irresolute mapping, strongly neutrosophic continuous mapping, perfectly neutrosophic continuous mapping, strongly generalized neutrosophic continuous mapping and perfectly generalized neutrosophic contin- uous mapping are introduced. Several interesting properties and characterizations are also discussed.
Category: General Mathematics

[2720] viXra:1805.0020 [pdf] submitted on 2018-05-01 01:29:32

Generalized Single Valued Triangular Neutrosophic Numbers and Aggregation Operators for Application to Multi-attribute Group Decision Making

Authors: Mehmet Şahin, Abdullah Kargın, Florentin Smarandache
Comments: 34 Pages.

In this study we define the generalizing single valued triangular neutrosophic number. In addition, single valued neutrosophic numbers are transformed into single valued triangular neutrosophic numbers according to the values of truth, indeterminacy and falsity.
Category: General Mathematics

[2719] viXra:1805.0018 [pdf] submitted on 2018-05-01 01:32:21

Interval-Valued Neutrosophic Bonferroni Mean Operators and the Application in the Selection of Renewable Energy

Authors: Pu Ji, Peng-fei Cheng, Hong-yu Zhang, Jian-qiang Wang
Comments: 28 Pages.

Renewable energy has been replacing traditional non-renewable energy owing to the limitation of the latter and environmental protection. Renewable energy is energy that can be circularly regenerated in nature. It mainly includes solar energy, wind energy, biomass energy, tidal energy and ocean thermal energy, just name a few.
Category: General Mathematics

[2718] viXra:1805.0017 [pdf] submitted on 2018-05-01 01:33:55

Interval Valued Neutrosophic Soft Graphs

Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Faruk Karaaslan
Comments: 34 Pages.

In this article, we combine the interval valued neutrosophic soft set and graph theory. We introduce the notions of interval valued neutrosophic soft graphs, strong interval valued neutrosophic graphs, complete interval valued neutrosophic graphs, and investigate some of their related properties. We study some operations on interval valued neutrosophic soft graphs.
Category: General Mathematics

[2717] viXra:1805.0016 [pdf] submitted on 2018-05-01 01:35:38

Multi-Attribute Group Decision Making Based on Expected Value of Neutrosophic Trapezoidal Numbers

Authors: Pranab Biswas, Surapati Pramanik, Bibhas C. Giri
Comments: 20 Pages.

We present an expected value based method for multiple attribute group decision making (MAGDM), where the preference values of alternatives and the importance of attributes are expressed in terms of neutrosophic trapezoidal numbers (NTrNs).
Category: General Mathematics

[2716] viXra:1805.0014 [pdf] submitted on 2018-05-01 01:38:43

Multi-criteria Group Decision Making based on Linguistic Refined Neutrosophic Strategy

Authors: Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri
Comments: 15 Pages.

Multi-criteria group decision making (MCGDM) strategy, which consists of a group of experts acting collectively for best selection among all possible alternatives with respect to some criteria, is focused on in this study. To develop the paper, we define linguistic neutrosophic refine set. We also define entropy to calculate unknown weights of the criteria and establish basic properties of entropy in linguistic neutrosophy refine set environment. In the developed strategy, the rating of all alternatives is expressed with linguistic variables.
Category: General Mathematics

[2715] viXra:1805.0013 [pdf] submitted on 2018-05-01 01:40:27

Neutrosophic Contra-Continuous Multi-Functions

Authors: S. Jafari, N. Rajesh
Comments: 9 Pages.

This paper is devoted to the concepts of neutrosophic upper and neutrosophic lower contra- continuous multifunctions and also some of their characterizations are considered.
Category: General Mathematics

[2714] viXra:1805.0011 [pdf] submitted on 2018-05-01 01:44:02

Neutrosophic Invertible Graphs of Neutrosophic Rings

Authors: T. Chalapathi, R. V. M. S. S. Kiran Kumar, Florentin Smarandache
Comments: 9 Pages.

The investigation of simple undirected graphs associated to finite algebraic structures, namely, rings and fields which are very important in the theory of algebraic graphs. In recent years the interplay between Neutrosophic algebraic structure and graph structure is studied by few researchers.
Category: General Mathematics

[2713] viXra:1805.0010 [pdf] submitted on 2018-05-01 01:45:39

Neutrosophic Rare Alpha-Continuity

Authors: R.Dhavaseelan, S. Jafari, R. M. Latif, F. Smarandache
Comments: 9 Pages.

In this paper, we introduce the concepts of neutrosophic rare alpha-continuous, neutrosophic rarely continuous, neutrosophic rarely pre-continuous, neutrosophic rarely semi-continuous are introduced and studied in light of the concept of rare set in neutrosophic setting.
Category: General Mathematics

[2712] viXra:1805.0009 [pdf] submitted on 2018-05-01 01:47:18

Neutrosophic Resolvable and Neutrosophic Irresolvable Spaces

Authors: M. Caldas, R. Dhavaseelan, M. Ganster, S. Jafari
Comments: 9 Pages.

In this paper, the concepts of neutrosophic resolvable, neutrosophic irresolvable, neutrosophic open hereditarily irresolvable spaces and maximally neutrosophic irresolvable spaces are introduced. Also we studyseveral properties of the neutrosophic open hereditarily irresolvable spaces besides giving characterization of these spaces by means of somewhat neutrosophic continuous functions and somewhat neutrosophic open functions.
Category: General Mathematics

[2711] viXra:1805.0008 [pdf] submitted on 2018-05-01 01:48:42

Neutrosophic Semi-Continuous Multifunctions

Authors: R. Dhavaseelan, S. Jafari, N. Rajesh, F. Smarandache
Comments: 10 Pages.

In this paper we introduce the concepts of neutrosophic upper and neutrosophic lower semi-continuous multifunctions and study some of their basic properties.
Category: General Mathematics

[2710] viXra:1805.0007 [pdf] submitted on 2018-05-01 01:52:38

Neutrosophic Sets: An Overview

Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Vakkas Uluçay, Mehmet Sahin, Arindam Dey, Mamouni Dhar, Rui-Pu Tan, Ayoub Bahnasse, Surapati Pramanik
Comments: 32 Pages.

In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations. Then we introduce triangular neutrosophic numbers, trapezoidal neutrosophic fuzzy number and their basic operations. Also some comparative studies between the existing neutrosophic sets and neutrosophic number are provided.
Category: General Mathematics

[2709] viXra:1805.0006 [pdf] submitted on 2018-05-01 02:03:50

On Neutrosophic α-Supra Open Sets and Neutrosophic α-Supra Continuous Functions

Authors: R. Dhavaseelan, M. Ganster, S. Jafari, M. Parimala
Comments: 10 Pages.

In this paper, we introduce and investigate a new class of sets and functions between supra topological spaces called neutrosophic alpha-supra open set and neutrosophic alpha-supra continuous function.
Category: General Mathematics

[2708] viXra:1805.0005 [pdf] submitted on 2018-05-01 02:05:12

On Neutrosophic Supra P re-Continuous Functions in Neutrosophic Topological Spaces

Authors: M. Parimala, M. Karthika, R. Dhavaseelan, S. Jafari
Comments: 13 Pages.

In this paper, we introduce and investigate a new class of sets and functions between topological space called neutrosophic supra pre- continious functions. Furthermore, the concepts of neutro- sophic supra pre-open maps and neutrosophic supra pre-closed maps in terms of neutrosophic supra pre-open sets and neutrosophic supra pre-closed sets, respectively, are introduced and several prop- erties of them are investigated.
Category: General Mathematics

[2707] viXra:1805.0004 [pdf] submitted on 2018-05-01 02:06:57

Single Valued Neutrosophic Finite State Machine and Switchboard State Machine

Authors: Tahir Mahmood, Qaisar Khan, Kifayat Ullah, Naeem Jan
Comments: 19 Pages.

Using single valued neutrosophic set we introduced the notion of single valued neutrosophic finite state machine, single valued neutrosophic successor, single valued neutrosophic subsystem and single valued submachine, single valued neutrosophic switchboard state machine, homomorphism and strong homomorphism between single valued neutrosophic switchboard state machine and discussed some related results and properties.
Category: General Mathematics

[2706] viXra:1805.0003 [pdf] submitted on 2018-05-01 02:08:21

Some Weighted Arithmetic Operators and Geometric Operators with SVNSs and Their Application to Multi-Criteria Decision Making Problems

Authors: Mehmet Şahin, Vakkas Uluçay, Hatice Acıoglu
Comments: 20 Pages.

As a variation of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete and inconsistent information that exists in the real world. In this paper,this article introduces an approach to handle multi-criteria decision making (MCDM) problems under the SVNSs.
Category: General Mathematics

[2705] viXra:1804.0449 [pdf] submitted on 2018-04-28 09:07:14

(α,β,γ)-Equalities of Single Valued Neutrosophic Sets

Authors: Songsong Dai
Comments: 5 Pages.

The single valued neutrosophic set (SVNS) is a subclass of neutrosophic set,which can describe and handle indeterminate information and inconsistent information. Since a SVNS is characterized independently by three functions: a truth-membership function, an indeterminacy-membership function, and a falsity-membership function.
Category: General Mathematics

[2704] viXra:1804.0448 [pdf] submitted on 2018-04-28 09:09:13

A Novel Approach to Nano Topology Via Neutrosophic Sets

Authors: M. Lellis Thivagar, Saeid Jafari, V. Sutha Devi, V. Antonysamy
Comments: 9 Pages.

The main objective of this study is to introduce a new hybrid intelligent structure called Neutrosophic nano topology. Fuzzy nano topology and intuitionistic nano topology can also be deduced from the neutrosophic nano topology. Based on the neutrosophic nano approximations we have classified neutrosophic nano topology. Some properties like neutrosophic nano interior and neutrosophic nano closure are derived.
Category: General Mathematics

[2703] viXra:1804.0447 [pdf] submitted on 2018-04-28 09:10:34

Bézier Surface Modeling for Neutrosophic Data Problems

Authors: Selçuk Topal, Ferhat Taş
Comments: 5 Pages.

The main goal of this paper is to construct Bézier surface modeling for neutrosophic data problems. We show how to build the surface model over a data sample from agriculture science after the theoretical structure of the modeling is introduced. As a sampler application for agriculture systems, we give a visualization of Bézier surface model of an estimation of a given yield of bean seeds grown in a field over a period.
Category: General Mathematics

[2702] viXra:1804.0446 [pdf] submitted on 2018-04-28 09:12:12

Commutative Falling Neutrosophic Ideals in BCK-Algebras

Authors: Young Bae Jun, Florentin Smarandache, Mehmat Ali Ozturk
Comments: 10 Pages.

The notions of a commutative (∈, ∈)-neutrosophic ideal and a commutative falling neutrosophic ideal are introduced, and several properties are investigated.
Category: General Mathematics

[2701] viXra:1804.0445 [pdf] submitted on 2018-04-28 09:13:45

Contributions of Selected Indian Researchers to Multi Attribute Decision Making in Neutrosophic Environment: An Overview

Authors: Surapati Pramanik, Rama Mallick, Anindita Dasgupta
Comments: 22 Pages.

Multi-attribute decision making (MADM) is a mathematical tool to solve decision problems involving conflicting attributes. With the increasing complexity, uncertainty of objective things and the neutrosophic nature of human thought, more and more attention has been paid to the investigation on multi attribute decision making in neutrosophic environment, and convincing research results have been reported in the literature.
Category: General Mathematics

[2700] viXra:1804.0444 [pdf] submitted on 2018-04-28 09:15:12

Correlation Coefficient Measures of Interval Bipolar Neutrosophic Sets for Solving Multi-Attribute Decision Making Problems

Authors: Surapati Pramanik, Partha Pratim Dey, Florentin Smarandache
Comments: 10 Pages.

Interval bipolar neutrosophic set is a significant extension of interval neutrosophic set where every element of the set comprises of three independent positive membership functions and three independent negative membership functions.
Category: General Mathematics

[2699] viXra:1804.0443 [pdf] submitted on 2018-04-28 09:16:49

Distance Measure Based MADM Strategy with Interval Trapezoidal Neutrosophic Numbers

Authors: Pranab Biswas, Surapati Pramanik, Bibhas Chandra Giri
Comments: 7 Pages.

In this paper, we introduce interval trapezoidal neutrosophic number and define some arithmetic operations of the proposed interval trapezoidal neutrosophic numbers. Then we consider a multiple attribute decision making (MADM) problem with interval trapezoidal neutrosophic numbers.
Category: General Mathematics

[2698] viXra:1804.0442 [pdf] submitted on 2018-04-28 09:18:09

Entropy Based Single Valued Neutrosophic Digraph and Its Applications

Authors: Kalyan Sinha, Pinaki Majumdar
Comments: 8 Pages.

This paper introduces the single valued neutrosophic (i.e. SVN) digraph. The basic terminologies and operations of SVN digraphs have been defined. Later certain types of SVN digraphs are shown and some of the important properties of SVN digraphs are investigated. Finally SVN digraphs are applied in solving a multicriterion decision making problems.
Category: General Mathematics

[2697] viXra:1804.0441 [pdf] submitted on 2018-04-28 09:19:26

Further Results on (∈,∈)-Neutrosophic Subalgebras and Ideals in Bck/bci-Algebras

Authors: G. Muhiuddin, Hashem Bordbar, Florentin Smarandache, Young Bae Jun
Comments: 8 Pages.

Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈,∈)-neutrosophic ideal.
Category: General Mathematics

[2696] viXra:1804.0439 [pdf] submitted on 2018-04-28 09:21:28

Generalizations of Neutrosophic Subalgebras in BCK/BCI-Algebras Based on Neutrosophic Points

Authors: Seon Jeong Kim, Seok-Zun Song, Young Bae Jun
Comments: 10 Pages.

Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK/BCI-algebras by using the notion of neutrosophic points.
Category: General Mathematics

[2695] viXra:1804.0438 [pdf] submitted on 2018-04-28 09:23:58

Hybrid Binary Logarithm Similarity Measure for MAGDM Problems under SVNS Assessments

Authors: Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri
Comments: 14 Pages.

Single valued neutrosophic set is an important mathematical tool for tackling uncertainty in scientific and engineering problems because it can handle situation involving indeterminacy.
Category: General Mathematics

[2694] viXra:1804.0437 [pdf] submitted on 2018-04-28 09:24:53

Interval Neutrosophic Tangent Similarity Measure Based Madm Strategy and Its Application to Madm Problems

Authors: Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri
Comments: 10 Pages.

In this paper, tangent similarity measure of interval valued neutrosophic sets is proposed and its properties are examined. The concept of interval valued neutrosophic set is a powerful mathematical tool to deal with incomplete, indeterminate and inconsistent information. The concept of this tangent similarity measure is based on interval valued neutrosophic information.
Category: General Mathematics

[2693] viXra:1804.0436 [pdf] submitted on 2018-04-28 09:27:32

Multi-Attribute Decision Making Based on Several Trigonometric Hamming Similarity Measures under Interval Rough Neutrosophic Environment

Authors: Surapati Pramanik, Rumi Roy, Tapan Kumar Roy, Florentin Smarandache
Comments: 9 Pages.

In this paper, the sine, cosine and cotangent similarity measures of interval rough neutrosophic sets is proposed. Some properties of the proposed measures are discussed. We have proposed multi attribute decision making approaches based on proposed similarity measures. To demonstrate the applicability, a numerical example is solved.
Category: General Mathematics

[2692] viXra:1804.0435 [pdf] submitted on 2018-04-28 09:30:48

Multi Attribute Decision Making Strategy on Projection and Bidirectional Projection Measures of Interval Rough Neutrosophic Sets

Authors: Surapati Pramanik, Rumi Roy, Tapan Kumar Roy, Florentin Smarandache
Comments: 9 Pages.

In this paper, we define projection and bidirectional projection measures between interval rough neutrosophic sets and prove their basic properties. Then two new multi attribute decision making strategies are proposed based on interval rough neutrosophic projection and bidirectional projection measures respectively.
Category: General Mathematics

[2691] viXra:1804.0434 [pdf] submitted on 2018-04-28 09:32:24

NC-VIKOR Based MAGDM Strategy under Neutrosophic Cubic Set Environment

Authors: Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy
Comments: 14 Pages.

Neutrosophic cubic set consists of interval neutrosophic set and single valued neutrosophic set simultaneously. Due to its unique structure, neutrosophic cubic set can express hybrid information consisting of single valued neutrosophic information and interval neutrosophic information simultaneously.
Category: General Mathematics

[2690] viXra:1804.0433 [pdf] submitted on 2018-04-28 09:33:42

Neutrosophic EOQ Model with Price Break

Authors: M. Mullai, R. Surya
Comments: 5 Pages.

Inventory control of an ideal resource is the most important one which fulfils various activities (functions) of an organisation. The supplier gives the discount for an item in the cost of units inorder to motivate the buyers (or) customers to purchase the large quantity of that item.
Category: General Mathematics

[2689] viXra:1804.0432 [pdf] submitted on 2018-04-28 09:34:44

Neutrosophic Goal Geometric Programming Problem based on Geometric Mean Method and its Application

Authors: Sahidul Islam, Tanmay Kundu
Comments: 11 Pages.

This paper describes neutrosophic goal geometric programming method, a new concept to solve multi-objective non-linear optimization problem under uncertainty.
Category: General Mathematics

[2688] viXra:1804.0431 [pdf] submitted on 2018-04-28 09:36:12

On Neutrosophic Soft Prime Ideal

Authors: Tuhin Bera, Nirmal Kumar Mahapatra
Comments: 22 Pages.

The motivation of the present paper is to extend the concept of neutrosophic soft prime ideal over a ring. In this paper the concept of neutrosophic soft completely prime ideals, neutrosophic soft completely semi-prime ideals and neutrosophic soft prime k - ideals have been introduced. These are illustrated with suitable examples also. Several related properties, theorems and structural characteristics of each are studied here.
Category: General Mathematics

[2687] viXra:1804.0430 [pdf] submitted on 2018-04-28 09:37:46

On Neutrosophic Soft Topological Space

Authors: Tuhin Bera, Nirmal Kumar Mahapatra
Comments: 13 Pages.

In this paper, the concept of connectedness and compactness on neutrosophic soft topological space have been introduced along with the investigation of their several characteristics. Some related theorems have been established also.
Category: General Mathematics

[2686] viXra:1804.0429 [pdf] submitted on 2018-04-28 09:38:51

Single Valued Neutrosophic Hyperbolic Sine Similarity Measure Based MADM Strategy

Authors: Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri
Comments: 9 Pages.

In this paper, we introduce new type of similarity measures for single valued neutrosophic sets based on hyperbolic sine function. The new similarity measures are namely, single valued neutrosophic hyperbolic sine similarity measure and weighted single valued neutrosophic hyperbolic sine similarity measure.
Category: General Mathematics

[2685] viXra:1804.0427 [pdf] submitted on 2018-04-28 09:40:08

Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application

Authors: Emad Marei
Comments: 10 Pages.

This paper aims to introduce a single valued neutrosophic soft approach to rough sets based on neutrosophic right minimal structure. Some of its properties are deduced and proved. A comparison between traditional rough model and suggested model, by using their properties is concluded to show that Pawlak’s approach to rough sets can be viewed as a special case of single valued neutrosophic soft approach to rough sets. Some of rough concepts are redefined and then some properties of these concepts are deduced, proved and illustrated by several examples. Finally, suggested model is applied in a decision making problem, supported with an algorithm.
Category: General Mathematics

[2684] viXra:1804.0426 [pdf] submitted on 2018-04-28 09:41:19

The Creation of Three Logical Connectors to Reapprove How Comprehensive and Effective the Neutrosophic Logic is Compared to the Fuzzy Logic and the Classical Logic

Authors: Salah Bouzina, Djamel Hamoud
Comments: 3 Pages.

The main objective of this research is a simple attempt to suggest three new logical connectors and establish an equation a chart of truth for each of them. Secondly, and using the logical operations of these three connectors, we seek to show how comprehensive and widespread and effective is the Neutrosophic logic (NL) compared to any other logic, taking into account the Fuzzy Logic (FL) as well as the classical logic (CL) as a comparative model.
Category: General Mathematics

[2683] viXra:1804.0425 [pdf] submitted on 2018-04-28 09:42:37

The Ingenuity of Neutrosophic Topology via N-Topology

Authors: M. Lellis Thivagar, S. Jafari, V. Antonysamy, V. Sutha Devi
Comments: 10 Pages.

In this paper we desire to extend the neutrosophic topological spaces into N-neutrosophic topological spaces. Also we show that this theory can be deduced to N-intuitionistic and N-fuzzy topological spaces etc. Further we develop not only the concept of classical generalized closed sets into N-neutrosophic topological spaces but also obtain its basic properties. Finally we investigate its continuous function and generalized continuous function.
Category: General Mathematics

[2682] viXra:1804.0424 [pdf] submitted on 2018-04-28 09:43:58

TOPSIS Strategy for Multi-Attribute Decision Making with Trapezoidal Neutrosophic Numbers

Authors: Pranab Biswas, Surapati Pramanik, Bibhas C. Giri
Comments: 11 Pages.

Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is a popular strategy for MultiAttribute Decision Making (MADM). In this paper, we extend the TOPSIS strategy of MADM problems in trapezoidal neutrosophic number environment. The attribute values are expressed in terms of single-valued trapezoidal neutrosophic numbers.
Category: General Mathematics

[2681] viXra:1804.0423 [pdf] submitted on 2018-04-28 09:45:16

Two Ranking Methods of Single Valued Triangular Neutrosophic Numbers to Rank and Evaluate Information Systems Quality

Authors: Samah Ibrahim Abdel Aal, Mahmoud M. A. Abd Ellatif, Mohamed Monir Hassan
Comments: 10 Pages.

The concept of neutrosophic can provide a generalization of fuzzy set and intuitionistic fuzzy set that make it is the best fit in representing indeterminacy and uncertainty. Single Valued Triangular Numbers (SVTrN-numbers) is a special case of neutrosophic set that can handle ill-known quantity very difficult problems.
Category: General Mathematics

[2680] viXra:1804.0422 [pdf] submitted on 2018-04-28 09:47:05

Vikor Based Magdm Strategy Under Bipolar Neutrosophic Set Environment

Authors: Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy
Comments: 13 Pages.

In this paper, we extend the VIKOR VIsekriterijumska optimizacija i KOmpromisno Resenje) strategy to multiple attribute group decision-making (MAGDM) with bipolar neutrosophic set environment. In this paper, we first define VIKOR strategy in bipolar neutrosophic set environment to handle MAGDM problems, which means we combine the VIKOR with bipolar neutrosophic number to deal with MAGDM.
Category: General Mathematics

[2679] viXra:1804.0336 [pdf] submitted on 2018-04-24 00:07:05

Limiting Vectors

Authors: Walter Gress
Comments: 2 Pages.

The behavior of vectors whence taken upon limits to infinity.
Category: General Mathematics

[2678] viXra:1804.0288 [pdf] submitted on 2018-04-21 00:44:20

On Q-Laplace Transforms and Mittag-Leffler Type Functions

Authors: Kishan Sharma
Comments: 7 Pages.

In the present paper, the author derived the results based on q-Laplace transform of the K-Function introduced by Sharma[7]. Some special cases of interest are also discussed.
Category: General Mathematics

[2677] viXra:1804.0287 [pdf] submitted on 2018-04-21 00:47:59

b#D - Sets and Associated Separation Axioms

Authors: N.Vithya, P.Thangavelu
Comments: 8 Pages.

In this paper the notion of b#D-sets is introduced. Some weak separation axioms namely b# −Dk, b# −R0, b#-R1 and b#-S0 are introduced and studied. Some lower separation axioms are characterized by using these separation axioms.
Category: General Mathematics

[2676] viXra:1804.0225 [pdf] submitted on 2018-04-16 07:54:40

Question 447: Some Trigonometric Formulas for the Argument 2npi/13,n=1,2,3,4,5,6.

Authors: Edgar Valdebenito
Comments: 4 Pages.

This note presents continued radicals and trigonometric formulas for the argument 2npi/13, n=1,2,3,4,5,6.
Category: General Mathematics

[2675] viXra:1804.0195 [pdf] submitted on 2018-04-14 11:41:48

Exact Solution of Odes Vector Space Transformationtechnique

Authors: Claude Michael Cassano
Comments: 10 Pages.

This linear algebra technique provides a useful method of obtaining exact solutions to homogeneous linear ordinary differential equations. The Bessel half integer solutions, being long well known, have been used here to verify with confidence the above linear independence technique for solving ordinary differential equations. The Bessel second order LHODE has been used, here, as an example application of this vector space transformation technique. Clearly, it may be used on other non-general elementary second order LHODE, such as the Legendre, Laguerre, Hermite and other second order LHODE's. Using the two linearly independent solutions of a second order linear homogeneous ordinary differential equations insures that the two functions are linearly independent. However, any two linearly independent functions may be used, and the two resulting differential equations need not be the same, as was the case for the Bessel's above. In fact, clearly, the technique may also be used for higher order LHODE's, since there are N linearly independent solutions of an N-th order LHODE there would be an equal number of transformation equations.
Category: General Mathematics

[2674] viXra:1804.0173 [pdf] submitted on 2018-04-12 14:33:36

Fractals on Non-Euclidean Metric

Authors: Yeray Cachón Santana
Comments: 11 Pages.

As far as I know, there is no a study on fractals on non euclidean metrics.This paper proposes a first approach method about generating fractals on a non-euclidean metric. The idea is to extend the calculus of fractals on non-euclidean metrics. Using the Riemann metric, there will be defined a non-euclidean modulo of a complex number in order to check the divergence of the series generated by the Mandelbrot set. It also shown that the fractals are not invariant versus rotations. The study will be extended to the quaternions, where is shown that the study of fractals might not be extended to quaternions with a general metric because of the high divergence of the series (a condition in order to generate a fractal is selecting bounded operators). Finally, a Java program will be found as example to show those kind of fractals, where any metric can be defined, so it will be helpful to study those properties.
Category: General Mathematics

[2673] viXra:1804.0171 [pdf] submitted on 2018-04-12 14:59:06

Fermat Conjecture Solution

Authors: Allen C. Conti
Comments: 1 Page. (c) Allen C. Conti 2015-2018

Possible solution to the Fermat Conjecture regarding other exponents satisfying the Pythagorus relationship. Solution uses algebraic substitution, logical deduction and modulus verification.
Category: General Mathematics

[2672] viXra:1804.0073 [pdf] submitted on 2018-04-04 08:06:18

Gare Aux Arnaques

Authors: Christophe Chalons
Comments: 8 Pages.

Papier décrivant des procédés usant abusivement du mot science et qui met en garde
Category: General Mathematics

[2671] viXra:1804.0066 [pdf] submitted on 2018-04-04 15:53:11

Solution to the Troesch Problem for Boundary Equations.

Authors: Franco Sabino Stoianoff Lindstron
Comments: 3 Pages.

This paper shows, for the first time, that the explicit and exact solution to the Troesch nonlinear twopoint boundary value problem may be computed in a direct and straightforward fashion from the general solution obtained by a generalized Sundman transformation for the related differential equation, which appeared to be a special case of a more general equation. As a result, various initial and boundary value problems may be solved explicitly and exactly.
Category: General Mathematics

[2670] viXra:1804.0015 [pdf] submitted on 2018-04-02 07:53:08

Question 446: pi as Sum of Arctangents

Authors: Edgar Valdebenito
Comments: 3 Pages.

This note presents some formulas of pi in terms of sum of arctangents.
Category: General Mathematics

[2669] viXra:1804.0001 [pdf] submitted on 2018-04-01 07:28:16

Circuit Complexity and Problem Structure in Hamming Space

Authors: Koji KOBAYASHI
Comments: 18 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine(DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit family cannot compute sandwich structure effectively. Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space. So NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some dicision problem have caracteristic in sandwich structure. Different vectors of Negate HornSAT problem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, Negate CNFSAT problem have different vector which number is over polynomial size.
Category: General Mathematics

[2668] viXra:1803.0735 [pdf] submitted on 2018-03-30 15:55:52

Neutrosophic Precalculus and Neutrosophic Calculus( Arabic Version)

Authors: Huda E. Khalid, Ahmed K. Essa, A. A. Salama
Comments: 115 Pages.

ان التحليل النيوتروسوفكي يعد تعميما لتحليل المجموعة ، والتي بدورها تعد تعميما لتحليل الفترة ، ان الحسبان النيوتروسوفكي التمهيدي يشير الى قيم ثابتة للاتعيين ، بينما حسبان التفاضل والتكامل النيوتروسوفكي يمكن اعتبارها رياضيات ذات لاتعيين متغير ، مبادئ حساب التفاضل والتكامل النيوتروسوفي وحساب التفاضل والتكامل النيوتروسوفكي يمكن تطويرهما بطرق عديدة ، وذلك بالاعتماد على انواع اللاتعيين التي تملكها المسألة كذلك بالاعتماد على الطرق المستخدمة في التعامل معها . قدمنا في هذا الكتاب بعض الامثلة عن اللاتعيينات الخاصة ، لكن يوجد الكثير من اللاتعيينات في حياتنا اليومية ، يجب علينا دراستها واعادة حلها باستخدام طرق مشابهة او طرق مختلفة عن التي ذكرناها . لذلك نحن بحاجة الى مزيد من الابحاث العلمية في حقل النيوتروسوفك . يمكن مستقبلا دراسة حسبان التفاضل والتكامل النيوتروسوفكي الجزئي من خلال ابحاث متقدمة في هذا المضمار . قدم المؤلف في هذا الكتاب ولاول مرة افكار لكل من شبه الغاية النيوتروسوفية ، وشبة الاستمرارية النيوتروسوفكية بطرق مختلفة عن شبه – الاستمرارية التقليدية, وشبه المشتقة النيوتروسوفكية, وشبه التكامل النيوتروسوفكي بطرق تختلف عن حسبان التفاضل والتكامل الجزئي الاعتيادي ، بالاضافة الى التعاريف التقليدية للغاية والاستمرارية والمشتقة والتكامل تباعا.
Category: General Mathematics

[2667] viXra:1803.0633 [pdf] submitted on 2018-03-24 00:41:03

Almost All Monotone Circuit Family

Authors: Koji KOBAYASHI
Comments: 8 Pages.

This paper describes about "Almost all monotone circuit family" and introduce its interesting advantages to measuring problem complexity. Explained in Michael Sipser "Introduction to the Theory of COMPUTATION", circuit family that emulate Deterministic Turing machine (DTM) are almost all monotone circuit family except some NOT-gate that connect input variables (like negation normal form (NNF)). This "NNF Circuit family" have good characteristic which present each accept input exclusivity and symmetry. Each input make some INPUT-gate and NOT-gate output 1 which set is different from another input, and meet these output in OR-gate and finally connect (specified) OUTPUT-gate. That is, NNF circuit start accept input that exclusive each other, and meet each input as symmetry input step by step and finally goal same output. Especially, some accept input which sandwitch reject inputs correspond with unique gate. That is, we can measure problem complexity by using NNF circuit and sandwitch inputs. For examples, such sandwitch inputs include DNF tautorogy problem.
Category: General Mathematics

[2666] viXra:1803.0622 [pdf] submitted on 2018-03-23 07:18:35

NN-Harmonic Mean Aggregation Operators-Based MCGDM Strategy in a Neutrosophic Number Environment

Authors: Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri, Florentin Smarandache
Comments: 15 Pages.

A neutrosophic number (a + bI) is a significant mathematical tool to deal with indeterminate and incomplete information which exists generally in real-world problems, where a and bI denote the determinate component and indeterminate component, respectively. We define score functions and accuracy functions for ranking neutrosophic numbers.
Category: General Mathematics

[2665] viXra:1803.0621 [pdf] submitted on 2018-03-23 07:19:38

Nonlocal Linear Minimum Mean Square Error Methods for Denoising Mri

Authors: P.V. Sudeep, P. Palanisamy, Chandrasekharan Kesavadas, Jeny Rajan
Comments: 10 Pages.

The presence of noise results in quality deterioration of magnetic resonance (MR) images and thus limits the visual inspection and influence the quantitative measurements from the data.
Category: General Mathematics

[2664] viXra:1803.0620 [pdf] submitted on 2018-03-23 07:20:51

Notions of Rough Neutrosophic Digraphs

Authors: Nabeela Ishfaq, Sidra Sayed, Muhammad Akram, Florentin Smarandache
Comments: 19 Pages.

Graph theory has numerous applications in various disciplines, including computer networks, neural networks, expert systems, cluster analysis, and image capturing. Rough neutrosophic set (NS) theory is a hybrid tool for handling uncertain information that exists in real life.
Category: General Mathematics

[2663] viXra:1803.0619 [pdf] submitted on 2018-03-23 07:21:50

Nötrosofik Üyelik Fonksiyonlu Bulanık Mantık-Pid (NBMD-Pid) ve Geleneksel Bulanık Mantık-Pid (BMD-Pid) Denetleyicinin Gerçek Zamanlı Karşılaştırılması

Authors: Mehmet Serhat CAN, Ömerül Faruk ÖZGÜVEN
Comments: 12 Pages.

Bu çalışmada, giriş değişkenlerinin nötrosofik küme teorisindeki doğru (T), belirsiz (I) ve yanlış (F) üyelik fonksiyonları kullanılarak, evrensel küme üzerindeki dağılımlarının gruplandırıldığı nötrosofik üyelik değerli bulanık mantık-PID (NBMD-PID) denetleyici ile geleneksel bulanık mantık-PID denetleyicinin (BMD-PID) gerçek zamanlı karşılaştırılması yapılmıştır.
Category: General Mathematics

[2662] viXra:1803.0617 [pdf] submitted on 2018-03-23 07:36:28

N-Valued Refined Neutrosophic Soft Sets and Their Applications in Decision Making Problems and Medical Diagnosis

Authors: Shawkat Alkhazaleh, Ayman A. Hazaymeh
Comments: 8 Pages.

In this work we use the concept of a ’n’-valued refined neutrosophic soft sets and its properties to solve decision making problems, Also a similarity measure between two ’n’- valued refined neutrosophic soft sets are proposed. A medical diagnosis (MD) method is established for ’n’-valued refined neutrosophic soft set setting using similarity measures. Lastly a numerical example is given to demonstrate the possible application of similarity measures in medical diagnosis (MD).
Category: General Mathematics

[2661] viXra:1803.0616 [pdf] submitted on 2018-03-23 07:37:21

On Antipodal Single Valued Neutrosophic Graph

Authors: J. Malarvizhi, G.Divya
Comments: 8 Pages.

In this paper we define Antipodal single valued neutrosophic graph and some Isomorphic properties of Antipodal single valued neutrosophic graph are discussed.
Category: General Mathematics

[2660] viXra:1803.0615 [pdf] submitted on 2018-03-23 07:38:55

On Distances and Similarity Measures Between Two Integral Neutrosophic Sets

Authors: Sudip Bhattacharyya, Bikas Koli Roy, Pinaki Majumdar
Comments: 21 Pages.

An Interval Neutrosophic set (INS) is an instance of a Neutrosophic set and also an emerging tool for uncertain data processing in real scientific and engineering applications. In this paper, several distance and similarity measures between two Interval Neutrosophic sets have been discussed.
Category: General Mathematics

[2659] viXra:1803.0614 [pdf] submitted on 2018-03-23 07:40:23

Online Prediction for Contamination of Chlortetracycline Fermentation Based on Dezert–Smarandache Theory

Authors: Jianwen Yang, Xiangguang Chen, Huaiping Jin
Comments: 8 Pages.

Fermentative production of chlortetracycline is a complex fed-batch bioprocess. It generally takes over 90 h for cultivation and is often contaminated by undesired microorganisms.
Category: General Mathematics

[2658] viXra:1803.0613 [pdf] submitted on 2018-03-23 07:41:10

On Neutrosophic Continuity

Authors: Süleyman ŞENYURT, Gülşah KAYA
Comments: 10 Pages.

In this paper, we defined the neutrosophic continuous function, neutrosophic open function, neutrosophic closed function and neutrosophic homeomorphism on neutrosophic topological spaces. Then, we give some characteristics of these functions; neutrosophic closed function is a neutrosophic continuous function, neutrosophic open function is a neutrosophic continuous function.
Category: General Mathematics

[2657] viXra:1803.0612 [pdf] submitted on 2018-03-23 07:42:46

On Neutrosophic Soft Metric Space

Authors: Tuhin Bera, Nirmal Kumar Mahapatra
Comments: 21 Pages.

In this paper, the notion of neutrosophic soft metric space (NSMS) is introduced in terms of neutrosophic soft points and several related properties, structural characteristics have been investigated. Then the convergence of sequence in neutrosophic soft metric space is defined and illustrated by examples. Further, the concept of Cauchy sequence in NSMS is developed and some related theorems have been established, too.
Category: General Mathematics

[2656] viXra:1803.0611 [pdf] submitted on 2018-03-23 07:43:45

On Regular Complex Neutrosophic Graphs

Authors: P. Thirunavukarasu, R. Suresh
Comments: 8 Pages.

In this paper, we introduced a new concept of complex neutrosophic graphs called regular complex neutrosophic graph with degree for complex neutrosophic graphs and studied some properties of this new concept. The concept of regular complex neutrosophic graph is an extension of complex neutrosophic fuzzy graphs of type.
Category: General Mathematics

[2655] viXra:1803.0610 [pdf] submitted on 2018-03-23 07:44:40

On Single Valued Neutrosophic Refined Rough Set Model and Its Application

Authors: Yan-Ling Bao, Hai-Long Yang
Comments: 14 Pages.

Neutrosophic set (NS) theory was originally established by Smarandache for handling indeterminate and inconsistent information. In this paper, we introduce single valued neutrosophic refined rough sets by combining single valued neutrosophic refined sets with rough sets and further study the hybrid model from two perspectives—constructive viewpoint and axiomatic viewpoint.
Category: General Mathematics

[2654] viXra:1803.0609 [pdf] submitted on 2018-03-23 07:46:20

Paired Structures in Knowledge Representation

Authors: J. Montero, H. Bustince, C. Franco, J.T. Rodríguez, D. Gómez, M. Pagola, J. Fernández, E. Barrenechea
Comments: 9 Pages.

In this position paper we propose a consistent and unifying view to all those basic knowledge representa- tion models that are based on the existence of two somehow opposite fuzzy concepts.
Category: General Mathematics

[2653] viXra:1803.0608 [pdf] submitted on 2018-03-23 07:48:21

Paraconsistent Semantics for Pavelka Style Fuzzy Sentential Logic

Authors: E. Turunen, M.Öztürk, A.Tsoukiás
Comments: 15 Pages.

The root of this work is on the one hand in Belnap’s four valued paraconsistent logic,and on the other hand on Pavelka’s papers further developed by Turunen.
Category: General Mathematics

[2652] viXra:1803.0607 [pdf] submitted on 2018-03-23 07:49:30

Parallel C-Means Algorithm for Image Segmentation on a Reconfigurable Mesh Computer

Authors: Omar Bouattane, Bouchaib Cherradi, Mohamed Youssfi, Mohamed O. Bensalah
Comments: 14 Pages.

In this paper, we propose a parallel algorithm for data classification, and its application for Magnetic Resonance Images (MRI) segmentation. The studied classification method is the well-known c-means method.
Category: General Mathematics

[2651] viXra:1803.0606 [pdf] submitted on 2018-03-23 07:50:46

Partitioned Heronian Means Based on Linguistic Intuitionistic Fuzzynumbers for Dealing with Multi-Attribute Group Decision Making

Authors: makingPeide Liu, Junlin Liu, José M. Merigó
Comments: 28 Pages.

Heronian mean (HM) operator has the advantages of considering the interrelationships between parame-ters, and linguistic intuitionistic fuzzy number (LIFN), in which the membership and non-membership areexpressed by linguistic terms, can more easily describe the uncertain and the vague information existingin the real world.
Category: General Mathematics

[2650] viXra:1803.0605 [pdf] submitted on 2018-03-23 07:51:48

Perception Granular Computing in Visual Haze-Free Task

Authors: Hong Hu, Liang Pang, Dongping Tian, Zhongzhi Shi
Comments: 13 Pages.

In the past decade, granular computing (GrC) has been an active topic of research in machine learning and computer vision. However, the granularity division is itself an open and complex problem.
Category: General Mathematics

[2649] viXra:1803.0603 [pdf] submitted on 2018-03-23 07:53:48

Proposed Model for Evaluating Information Systems Quality Based on Single Valued Triangular Neutrosophic Numbers

Authors: Samah Ibrahim Abdel Aal, Mahmoud M. A. Abd Ellatif, Mohamed Monir Hassan
Comments: 14 Pages.

One of the most important reasons for information systems failure is lack of quality. Information Systems Quality (ISQ) evaluation is important to prevent the lack of quality. ISQ evaluation is one of the most important Multi-Criteria Decision Making (MCDM) problems.
Category: General Mathematics

[2648] viXra:1803.0601 [pdf] submitted on 2018-03-23 07:55:53

Ranking and Selecting the Best Performance Appraisal Method Using the Multimoora Approach Integrated Shannon’s Entropy

Authors: Abteen Ijadi Maghsoodi, Gelayol Abouhamzeh, Mohammad Khalilzadeh, Edmundas Kazimieras Zavadskas
Comments: 21 Pages.

The selection process of appropriate Performance Appraisal (PA) methods for organizations in today’s dynamic and agile environments along with its funding scales is a complex problem.
Category: General Mathematics

[2647] viXra:1803.0600 [pdf] submitted on 2018-03-23 07:57:56

Reasoning About Actions with Imprecise and Incomplete State Descriptions

Authors: Célia da Costa Pereira, Andrea G.B.Tettamanzi
Comments: 19 Pages.

This article is a first step in the direction of extending possibilistic planning to account for incomplete and imprecise knowledge of the worlds tate.
Category: General Mathematics

[2646] viXra:1803.0599 [pdf] submitted on 2018-03-23 07:58:48

Retinal Blood Vessels Separation a Survey

Authors: Sindhu Saranya, V. Ellappan
Comments: 10 Pages.

Segmenting blood vessel from the retinal image is important for detecting many retinal vascular disorders. Diseases which are all affecting the blood vessels of the eye are known as Retinal vascular disorders.
Category: General Mathematics

[2645] viXra:1803.0598 [pdf] submitted on 2018-03-23 07:59:39

Review on BCI/BCK-Algebras and Development

Authors: M.Kaviyarasu, K.Indhira
Comments: 8 Pages.

The aim of the paper is to investigate the relationship between BCK/BCIalgebras and other algebras namely d-algebras, Q-algebras-BCH-algebras- TM-algebras-INK-algebras and we introduce some algebraic system.
Category: General Mathematics

[2644] viXra:1803.0597 [pdf] submitted on 2018-03-23 08:00:55

Rough Neutrosophic Digraphs with Application

Authors: Sidra Sayed, Nabeela Ishfaq, Muhammad Akram, Florentin Smarandache
Comments: 20 Pages.

A rough neutrosophic set model is a hybrid model which deals with vagueness by using the lower and upper approximation spaces. In this research paper, we apply the concept of rough neutrosophic sets to graphs.
Category: General Mathematics

[2643] viXra:1803.0596 [pdf] submitted on 2018-03-23 08:02:44

Row-Products of Soft Matrices with Applications in Multiple-Disjoint Decision Making

Authors: Hüseyin Kamacı, Akın Osman Atagün, Abdullah Sönmezoglu
Comments: 23 Pages.

In this paper, we firstly introduce row-products of the soft matrices and investigate their properties and algebraic structures in detail. We aim to show that these row-products can be used in handling decision making problems.
Category: General Mathematics

[2642] viXra:1803.0595 [pdf] submitted on 2018-03-23 08:03:53

Segmentation of Dental X-Ray Images in Medical Imaging Using Neutrosophic Orthogonal Matrices

Authors: Mumtaz Ali, Le Hoang Son, Mohsin Khan, Nguyen Thanh Tung
Comments: 8 Pages.

Over the last few decades, the advance of new technologies in computer equipment, cameras and med- ical devices became a starting point for the shape of medical imaging systems.
Category: General Mathematics

[2641] viXra:1803.0593 [pdf] submitted on 2018-03-23 08:08:13

Self-Centered Single Valued Neutrosophic Graphs

Authors: V.Krishnaraj, R.Vikramaprasad, R.Dhavaseelan
Comments: 8 Pages.

In this paper, we introduce the concepts of length, distance, eccentricity, radius, diameter, status, total status, median and central vertex of a single valued neutrosophic graph. We present the concept of self-centered single valued neutrosophic graph. We investigated some properties of self-centered single valued neutrosophic graphs.
Category: General Mathematics

[2640] viXra:1803.0590 [pdf] submitted on 2018-03-23 08:10:11

Shortest Path Problem on Single Valued Neutrosophic Graphs

Authors: Said Broumi, Mohamed Talea, Florentin Smarandache, Kishore Kumar P.K.
Comments: 6 Pages.

single valued neutrosophic graph is a generalized structure of fuzzy graph, intuitionistic fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs and intuitionistic fuzzy graphs.
Category: General Mathematics

[2639] viXra:1803.0587 [pdf] submitted on 2018-03-23 08:12:55

Single Valued Neutrosophic Cross-Entropy for Multicriteria Decision Making Problems

Authors: Jun Ye
Comments: 6 Pages.

single valued neutrosophic set (SVNS) is an instance of a neutrosophic set, which give us an additional possibility to represent uncertainty, imprecise, incomplete, and inconsistent information which exist in real world.
Category: General Mathematics

[2638] viXra:1803.0584 [pdf] submitted on 2018-03-23 08:16:05

Single Valued Neutrosophic Exponential Similarity Measure for Medical Diagnosis and Multi Attribute Decision Making

Authors: J.Dhivya, B.Sridevi
Comments: 9 Pages.

Neutrosophic set (NS) is very useful to express incomplete, uncertainty, and inconsistent information in a more general way. In the modern medical technologies, each element can be expressed as NS having different truth – membership, indeterminacy – membership, and falsity – membership degrees.
Category: General Mathematics

[2637] viXra:1803.0583 [pdf] submitted on 2018-03-23 08:17:19

Single-Valued Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators for Multi-Attribute Decision Making

Authors: Xin Li, Xiaohong Zhang
Comments: 15 Pages.

This paper aims at developing new methods for multi-attribute decision making (MADM) under a single-valued neutrosophic hesitant fuzzy environment, in which each element has sets of possible values designed by truth, indeterminacy, and falsity membership hesitant functions.
Category: General Mathematics

[2636] viXra:1803.0579 [pdf] submitted on 2018-03-23 08:21:24

Smarandache BL-algebra

Authors: A. Borumand Saeid, A. Ahadpanah, L. Torkzadeh
Comments: 9 Pages.

In this paper we define the Smarandache BL-algebra, Q -Smarandache ideal and Q - Smarandache implicative ideal, we obtain some related results. After that by considering the notions of these ideals we determine relationships between ideals in BL-algebra and Q -Smarandache (implicative) ideals of BL-algebra. Finally we construct quotient of Smarandache BL-algebras via MV-algebra and prove some theorems.
Category: General Mathematics

[2635] viXra:1803.0578 [pdf] submitted on 2018-03-23 08:23:24

Smarandache Curves in Euclidean 4 Space e 4

Authors: Mervat Elzawy
Comments: 4 Pages.

The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E 4 , and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E 4 . The first, the second and the third curvatures of Smarandache curves are calculated. These values depending upon the first, the second and the third curvature of the given curve.
Category: General Mathematics

[2634] viXra:1803.0577 [pdf] submitted on 2018-03-23 08:24:24

Smarandache Curves in the Galilean 4-Space G 4

Authors: M. Elzawy, S. Mosa
Comments: 4 Pages.

In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4 . We obtain Frenet- Serret invariants for the Smarandache curve in G 4 . The first, second and third curvature of Smarandache curve are calculated. These values depending upon the first, second and third curvature of the given curve. Examples will be illustrated.
Category: General Mathematics

[2633] viXra:1803.0570 [pdf] submitted on 2018-03-23 08:33:11

Solving Multi-Criteria Group Decision Making Problems Under Environments with a High Number of Alternatives Using Fuzzy Ontologies and Multi-Granular Linguistic Modelling Methods

Authors: J.A. Morente-Molinera, G. Kou, R. González-Crespo, J.M. Corchado, E. Herrera-Viedma
Comments: 11 Pages.

Classic multi-criteria group decision making models that have a high amount of alternatives are unman- ageable for the experts.
Category: General Mathematics

[2632] viXra:1803.0569 [pdf] submitted on 2018-03-23 08:34:24

Some Hybrid Weighted Aggregation Operators Under Neutrosophic Set Environment and Their Applications to Multi Criteria Decision Making

Authors: Harish Garg &Nancy
Comments: 18 Pages.

Neutrosophic sets (NS) contain the three ranges: truth, indeterminacy, and falsity membership degrees,and are very useful for describing and handling the uncertainties in the real life problem.
Category: General Mathematics

[2631] viXra:1803.0565 [pdf] submitted on 2018-03-23 08:40:16

Spanning Tree Problem with Neutrosophic Edge Weights

Authors: Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Arindam Dey, Le Hoang Son
Comments: 10 Pages.

Neutrosophic set and neutrosophic logic theory are renowned theories to deal with complex, not clearly explained and uncertain real life problems, in which classical fuzzy sets/models may fail to model properly.
Category: General Mathematics

[2630] viXra:1803.0564 [pdf] submitted on 2018-03-23 08:41:13

Special Equiform Smarandache Curves in Minkowski Space-Time

Authors: E.M. Solouma
Comments: 7 Pages.

A regular non-null curve in Minkowski space-time, whose posi- tion vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache curve.
Category: General Mathematics

[2629] viXra:1803.0563 [pdf] submitted on 2018-03-23 08:42:30

Special Timelike Smrandache Curves in Minkowski 3-Space

Authors: E. M. Solouma
Comments: 16 Pages.

In Smarandache geometry, a regular non-null curve in Minkowski 3-space, whose position vector is collected by the Frenet frame vectors of other regular non-null curve, is said to be Smarandache curve.
Category: General Mathematics

[2628] viXra:1803.0562 [pdf] submitted on 2018-03-23 08:43:57

Strong Degrees in Single Valued Neutrosophic Graphs

Authors: Said Broumi, Assia Bakali, Seema Mehra, Mohamed Talea, Florentin Smarandache, Manjeet Singh
Comments: 9 Pages.

The concept of single valued neutrosophic graphs (SVNGs) generalizes the concept of fuzzy graphs and intuitionistic fuzzy graphs. The purpose of this research paper is to define different types of strong degrees in SVNGs and introduce novel concepts, such as the vertex truth-membership, vertex indeterminacy-membership and falsity-membership sequence in SVNG with proof and numerical illustrations.
Category: General Mathematics

[2627] viXra:1803.0561 [pdf] submitted on 2018-03-23 08:45:12

Summary of the Special Issue “Neutrosophic Information Theory and Applications” at “Information” Journal

Authors: Florentin Smarandache, Jun Ye
Comments: 4 Pages.

Over a period of seven months (August 2017–February 2018), the Special Issue dedicated to “Neutrosophic Information Theory and Applications” by the “Information” journal (ISSN 2078-2489), located in Basel, Switzerland, was a success.
Category: General Mathematics

[2626] viXra:1803.0560 [pdf] submitted on 2018-03-23 08:46:35

Sustainable Decision-Making in Civil Engineering, Construction and Building Technology

Authors: Edmundas Kazimieras Zavadskas, Jurgita Antucheviciene, Tatjana Vilutiene, Hojjat Adeli
Comments: 21 Pages.

Sustainable decision-making in civil engineering, construction and building technology can be supported by fundamental scientific achievements and multiple-criteria decision-making (MCDM) theories.
Category: General Mathematics

[2625] viXra:1803.0559 [pdf] submitted on 2018-03-23 08:47:57

Terminological Difficulties in Fuzzy Set Theory—The Case of “Intuitionistic Fuzzy Sets”

Authors: Didier Dubois, Siegfried Gottwald, Petr Hajek, Janusz Kacprzyk, Henri Prade
Comments: 7 Pages.

This note points out a terminological clash between Atanassov’s “intuitionistic fuzzy sets” and what is currently understood as intuitionistic logic. They differ both by their motivations and their underlying mathematical structure.
Category: General Mathematics

[2624] viXra:1803.0558 [pdf] submitted on 2018-03-23 08:51:29

Testing the Event Witnessing Status of Microbloggers from Evidence in Their Micro-Blogs

Authors: Marie Truelove, Maria Vasardani, Stephan Winter
Comments: 13 Pages.

This paper demonstrates a framework of processes for identifying potential witnesses of events from evidence they post to social media.
Category: General Mathematics

[2623] viXra:1803.0557 [pdf] submitted on 2018-03-23 08:52:43

The Complex Neutrosophic Soft Expert Set and Its Application in Decision Making

Authors: Ashraf Al-Quran, Nasruddin Hassan
Comments: 14 Pages.

This paper presents a novel complex neutrosophic soft expert set (CNSES) concept. The range of values of CNSES is extended to the unit circle in the complex plane by adding an additional term called the phase term which describes CNSES’s elements in terms of the time aspect.
Category: General Mathematics

[2622] viXra:1803.0556 [pdf] submitted on 2018-03-23 08:54:08

The Optimization of Intelligent Control Interfaces Using Versatile Intelligent Portable Robot Platform

Authors: Victor Vladareanu, Radu I. Munteanu, Ali Mumtaz, Florentin Smarandache, Luige Vladareanu
Comments: 8 Pages.

The paper presents a VIPRO versatile, intelligent and mobile platform for robots, using an original virtual projection method which involves the representation of modern mobile robots in a 3D virtual environment using a strong robotic simulator, an open architecture system and adaptive networks over the classical control system of the robot, developing intelligent control interfaces The advanced control technologies adapted to the robot environment such as neutrosophic control, robot Extenics control and robot haptic control are used. The obtained results lead to the conclusion that the VIPRO platform is to be integrated on the IT market as a new component alongside the existing ones, allowing a correct evaluation of robot behaviours in hazardous or challenging environments and high level real-time simulation in order to correctly model interactions among the robots and between the robots and the environment.
Category: General Mathematics

[2621] viXra:1803.0554 [pdf] submitted on 2018-03-23 08:56:25

The Use of the Pivot Pairwise Relative Criteria Importance Assessment Method for Determining the Weights of Criteria

Authors: Dragisa STANUJKIC, Edmundas Kazimieras ZAVADSKAS, Darjan KARABASEVIC, Florentin SMARANDACHE, Zenonas TURSKIS
Comments: 18 Pages.

The weights of evaluation criteria could have a significant impact on the results obtained by applying multiple criteria decision-making methods.
Category: General Mathematics

[2620] viXra:1803.0553 [pdf] submitted on 2018-03-23 08:57:29

The “Vertical” Generalization of the Binary Goldbach’s Conjecture as Applied on “Iterative” Primes with (Recursive) Prime Indexes (i-Primeths)

Authors: Andrei-Lucian Drăgoi
Comments: 32 Pages.

This article proposes a synthesized classification of some Goldbach-like conjectures, including those which are “stronger” than the Binary Goldbach’s Conjecture (BGC) and launches a new generalization of BGC briefly called “the Vertical Binary Goldbach’s Conjecture” (VBGC), which is essentially a metaconjecture, as VBGC states an infinite number of conjectures stronger than BGC, which all apply on “iterative” primes with recursive prime indexes (i-primeths).
Category: General Mathematics

[2619] viXra:1803.0551 [pdf] submitted on 2018-03-23 08:59:08

Very True Pseudo-BCK Algebras

Authors: Lavinia Corina Ciungu
Comments: 21 Pages.

In this paper we introduce the very true operators on pseudo-BCK algebras and we study their properties. We prove that the composition of two very true operators is a very true operator if and only if they commute.
Category: General Mathematics

[2618] viXra:1803.0548 [pdf] submitted on 2018-03-23 09:02:07

Thinking Out Loud on Primeval Atom, Big Bang & Biblical Account of Creation

Authors: Victor Christianto, Florentin Smarandache
Comments: 11 Pages.

In recent years, the Big Bang as described by the Lambda CDM-Standard Model Cosmology has become widely accepted by majority of physics and cosmology communities.
Category: General Mathematics

[2617] viXra:1803.0547 [pdf] submitted on 2018-03-23 09:03:20

Time-Aware Trustworthiness Ranking Prediction for Cloud Services Using Interval Neutrosophic Set and Electre

Authors: Hua Ma, Haibin Zhu, Zhigang Hu, Wensheng Tang
Comments: 19 Pages.

The imprecise quality of service (QoS) evaluations from consumers may lead to the inappropriate pre- diction for the trustworthiness of cloud services in an uncertain cloud environment.
Category: General Mathematics

[2616] viXra:1803.0543 [pdf] submitted on 2018-03-23 06:11:35

Modeling Synergies in Multi-Criteria Supplier Selection and Order Allocation: an Application to Commodity Trading

Authors: Mariya A. Sodenkamp, Madjid Tavana, Debora Di Caprio
Comments: 16 Pages.

We propose a novel meta-approach to support collaborative multi-objective supplier selection and order allocation (SSOA) decisions by integrating multi-criteria decision analysis and linear programming (LP).
Category: General Mathematics

[2615] viXra:1803.0542 [pdf] submitted on 2018-03-23 06:12:38

Modeling Virus as Elastic Sphere in Newtonian Fluid Based on 3d Navier Stokes Equations

Authors: Victor Christianto, Florentin Smarandache
Comments: 2 Pages.

Although virus is widely known to significantly affect many biological form of life, its physical model is quite rare. In this regard, experiments on the acoustic vibrations of elastic nanostructures in fluid media have been used to study the mechanical properties of materials, as well as for mechanical and biological sensing.
Category: General Mathematics

[2614] viXra:1803.0541 [pdf] submitted on 2018-03-23 06:14:05

Models for Multiple Attribute Decision-Making with Dual Generalized Single-Valued Neutrosophic Bonferroni Mean Operators

Authors: JieWang, Xiyue Tang, Guiwu Wei
Comments: 15 Pages.

In this article, we expand the dual generalized weighted BM (DGWBM) and dual generalized weighted geometric Bonferroni mean (DGWGBM) operator with single valued neutrosophic numbers (SVNNs) to propose the dual generalized single-valued neutrosophic number WBM (DGSVNNWBM) operator and dual generalized single-valued neutrosophic numbers WGBM (DGSVNNWGBM) operator. Then, the multiple attribute decision making (MADM) methods are proposed with these operators. In the end, we utilize an applicable example for strategic suppliers selection to prove the proposed methods.
Category: General Mathematics

[2613] viXra:1803.0540 [pdf] submitted on 2018-03-23 06:15:13

Moth-Flame Swarm Optimization with Neutrosophic Sets for Automatic Mitosis Detection in Breast Cancer Histology Images

Authors: Gehad Ismail Sayed, Aboul Ella Hassanien
Comments: 12 Pages.

This paper presents an automatic mitosis detection approach of histopathology slide imaging based on using neutrosophic sets (NS) and moth-flame optimization (MFO).
Category: General Mathematics

[2612] viXra:1803.0538 [pdf] submitted on 2018-03-23 06:17:58

Multi-criteria Decision-making Approach based on Multi-valued Neutrosophic Geometric Weighted Choquet Integral Heronian Mean Operator

Authors: Juan-juan Peng, Jian-qiang Wang, Jun-hua Hu, Chao Tian
Comments: 14 Pages.

Multi-valued neutrosophic sets (MVNSs) have recently become a subject of great interest for researchers, and have been applied widely to multi-criteria decision-making (MCDM) problems. In this paper, the multi-valued neutrosophic geometric weighted Choquet integral Heronian mean (MVNGWCIHM) operator, which is based on the Heronian mean and Choquet integral, is proposed, and some special cases and the corresponding properties of the operator are discussed.
Category: General Mathematics

[2611] viXra:1803.0537 [pdf] submitted on 2018-03-23 06:19:00

Multi-Expert Performance Evaluation of Healthcare Institutions Using an Integrated Intuitionistic Fuzzy AHP&DEA Methodology

Authors: Irem Otay, Basar Oztaysi, Sezi Cevik Onar, Cengiz Kahraman
Comments: 17 Pages.

Healthcare management and healthcare industry have been one of the popular and complex topics that many researchers and professionals have focused on.
Category: General Mathematics

[2610] viXra:1803.0535 [pdf] submitted on 2018-03-23 06:21:20

Multiple Attribute Decision-Making Method Using Correlation Coefficients of Normal Neutrosophic Sets

Authors: Jun Ye
Comments: 10 Pages.

The normal distribution is a usual one of various distributions in the real world. A normal neutrosophic set (NNS) is composed of both a normal fuzzy number and a neutrosophic number, which a significant tool for describing the incompleteness, indeterminacy, and inconsistency of the decision-making information.
Category: General Mathematics

[2609] viXra:1803.0534 [pdf] submitted on 2018-03-23 06:22:25

Multiple Attribute Group Decision Making: a Generic Conceptual Framework and a Classification Scheme

Authors: Özgür Kabak, Bilal Ervural
Comments: 18 Pages.

The research activities in group decision making have dramatically increased over the last decade. In particular, the application of multiple attribute decision-making methods to group decision-making problems occupies a vast area in the related literature. However, there is no systematic classification scheme for these researches.
Category: General Mathematics

[2608] viXra:1803.0533 [pdf] submitted on 2018-03-23 06:24:39

Multiple Criteria Decision Making Approach with Multi-Valued Neutrosophic Linguistic Normalized Weighted Bonferroni Mean Hamacher Operator

Authors: Bao-lin Li, Juan-ru Wang, Li-hua Yang, Xue-tao Li
Comments: 32 Pages.

The neutrosophic set and linguistic term set are widely applied in recently years. Motivated by the advantages of them, we combine the multi-valued neutrosophic set and linguistic set and define the concept of the mult i-valued neutrosophic linguistic set (MVNLS).
Category: General Mathematics

[2607] viXra:1803.0532 [pdf] submitted on 2018-03-23 06:26:00

Multi-Sensors Systems using Semi-Active Control for Monitoring and Diagnoses of the Power Systems

Authors: Victor Vladareanu, Rozica Moga, Paul Schiopu, Luige Vladareanu
Comments: 6 Pages.

The work presents the studies and research in order to implement new techniques concerning semi-active control of the magneto rheological dissipaters dynamic systems with applications to the antivibration isolating systems and the reducing of structural vibrations of the power systems.
Category: General Mathematics

[2606] viXra:1803.0531 [pdf] submitted on 2018-03-23 06:27:56

Multi-Valued Collaborative Qos Prediction for Cloud Service Via Time Series Analysis

Authors: Hua Ma, Haibin Zhu, Zhigang Hu, Wensheng Tang, Pingping Dong
Comments: 14 Pages.

Aiming at the diversity of user features, the uncertainty and the variation characteristics of quality of service (QoS), by exploiting the continuous monitoring data of cloud services, this paper proposes a multivalued collaborative approach to predict the unknown QoS values via time series analysis for potential users.
Category: General Mathematics

[2605] viXra:1803.0530 [pdf] submitted on 2018-03-23 06:29:33

Nature-Inspired Optimal Tuning of Input Membership Functions of Takagi-Sugeno-Kang Fuzzy Models for Anti-Lock Braking Systems

Authors: Radu-Emil Precup, Marius-Csaba Sabau, Emil M. Petriu
Comments: 15 Pages.

This paper suggests a synergy of fuzzy logic and nature-inspired optimization in terms of the nature-inspired optimal tuning of the input membership functions of a class of Takagi-Sugeno-Kang (TSK) fuzzymodels dedicated to Anti-lock Braking Systems (ABSs).
Category: General Mathematics

[2604] viXra:1803.0529 [pdf] submitted on 2018-03-23 06:31:18

Ncm:neutrosophic C-Means Clustering Algorithm

Authors: Yanhui Guo, Abdulkadir Sengur
Comments: 15 Pages.

In this paper,a new clustering algorithm, neutrosophic c-means (NCM),is introduced for uncertain dataclustering, which is inspired from fuzzy c-means and the neutrosophic set framework.
Category: General Mathematics

[2603] viXra:1803.0527 [pdf] submitted on 2018-03-23 06:34:50

Neutrosofia în Galápagos

Authors: Florentin Smarandache
Comments: 3 Pages.

În mod paradoxist, există pinguini la ecuator! Atât de mici în comparație cu cei din Antarctica...
Category: General Mathematics

[2602] viXra:1803.0526 [pdf] submitted on 2018-03-23 06:42:15

Neutrosophic Classifier: an Extension of Fuzzy Classifer

Authors: A.Q. Ansari, Ranjit Biswas, Swati Aggarwal
Comments: 11 Pages.

Fuzzy classification has become of great interest because of its ability to utilize simple linguistically interpretable rules and has overcome the limitations of symbolic or crisp rule based classifiers.
Category: General Mathematics

[2601] viXra:1803.0524 [pdf] submitted on 2018-03-23 06:45:35

Neutrosophic Hough Transform

Authors: Ümit Budak, Yanhui Guo, Abdulkadir Sengür, Florentin Smarandache
Comments: 12 Pages.

Hough transform (HT) is a useful tool for both pattern recognition and image processing communities. In the view of pattern recognition, it can extract unique features for description of various shapes, such as lines, circles, ellipses, and etc.
Category: General Mathematics

[2600] viXra:1803.0523 [pdf] submitted on 2018-03-23 06:46:34

Neutrosophic Ideals of Neutrosophic ku-Algebras

Authors: Bijan Davvaz, Samy M. Mostafa, Fatema F.Kareem
Comments: 10 Pages.

In this paper, the concept of a neutrosophic KU-algebra is introduced and some related properties are investigated. Also, neutrosophic KU-ideals of a neutrosophic KU-algebra are studied and a few properties are obtained. Furthermore, a few results of neutrosophic KU-ideals of a neutrosophic KU-algebra under homomorphism are discussed
Category: General Mathematics

[2599] viXra:1803.0522 [pdf] submitted on 2018-03-23 06:47:35

Neutrosophic Ideals of Semirings

Authors: Debabrata Mandal
Comments: 11 Pages.

Neutrosophic ideals of a semiring are introduced and studied in the sense of Smarandache[14], along with some operations such as intersection, composition, cartesian product etc. on them. Among the other results/characterizations, it is shown that all the operations are structure preserving.
Category: General Mathematics

[2598] viXra:1803.0521 [pdf] submitted on 2018-03-23 06:48:36

Neutrosophic Linear Equations and Application in Traffic Flow Problems

Authors: Jun Ye
Comments: 10 Pages.

A neutrosophic number (NN) presented by Smarandache can express determinate and/or indeterminate information in real life. NN (z = a + uI) consists of the determinate part a and the indeterminate part uI for a, u 2 R (R is all real numbers) and indeterminacy I, and is very suitable for representing and handling problems with both determinate and indeterminate information.
Category: General Mathematics

[2597] viXra:1803.0519 [pdf] submitted on 2018-03-23 06:50:26

Neutrosophic Logics: Prospects and Problems

Authors: Umberto Rivieccio
Comments: 9 Pages.

Neutrosophy has been introduced some years ago by Florentin Smarandache as a new branch of philosophy dealing with “the origin, nature and scope of neutralities, as well as their interactions with different ideational spectra”.
Category: General Mathematics

[2596] viXra:1803.0517 [pdf] submitted on 2018-03-23 06:52:20

Neutrosophic N-Structures and Their Applications in Semigroups

Authors: Madad Khan, Saima Anis, Florentin Smarandache, Young Bae Jun
Comments: 17 Pages.

The notion of neutrosophic N-structure is introduced, and applied it to semigroup. The notions of neutrosophic N-subsemigroup, neutrosophic N-product and "-neutrosophic N-subsemigroup are introduced, and several properties are investigated.
Category: General Mathematics

[2595] viXra:1803.0515 [pdf] submitted on 2018-03-23 06:54:24

Neutrosophic Number Nonlinear Programming Problems and Their General Solution Methods under Neutrosophic Number Environments

Authors: Jun Ye, Wenhua Cuim Zhikang Lu
Comments: 10 Pages.

The possible optimal ranges of the decision variables and NN objective function are indicated when the indeterminacy I is considered for possible interval ranges in real situations.
Category: General Mathematics

[2594] viXra:1803.0514 [pdf] submitted on 2018-03-23 07:00:46

Neutrosophic Q-Fuzzy Left N-Subgroups of a Near-Ring

Authors: K. Thirusangu, S. Poornavel, R. Vasuki
Comments: 11 Pages.

In this paper, the notion of neutrosophic Q- fuzzy left N-subgroups is introduced in a near ring and investigated some related properties. Characterization of neutrosophic Q- fuzzy left N-subgroups with respect to T-norm and S-norm are given. Few homomorphic image and its pre-image on neutrosophic Q- fuzzy are obtained.
Category: General Mathematics

[2593] viXra:1803.0513 [pdf] submitted on 2018-03-23 07:01:30

Neutrosophic (Q, L)-Fuzzy Subgroup

Authors: K. Thirusangu, S. Poornavel, R. Vasuki
Comments: 6 Pages.

Goguen [1967] introduced L-fuzzy set. Murali [1991] analyzed lattice of fuzzy algebras and closure systems. Saibaba [2008] initiated fuzzy lattice ordered groups, and studied many properties on fuzzy lattice. Swamy and Raju [1991] gave a detailed findings on algebraic fuzzy system.
Category: General Mathematics

[2592] viXra:1803.0512 [pdf] submitted on 2018-03-23 07:02:26

Neutrosophic Refined Sets in Medical Diagnosis

Authors: A.Edward Samuel, R.Narmadhagnanam
Comments: 7 Pages.

In this paper, a new approach (cosecant similarity measure) is proposed to construct the decision method for medical diagnosis by using neutrosophic refined set. Also, we develop a technique to diagnose which patient is suffering from what disease.
Category: General Mathematics

[2591] viXra:1803.0511 [pdf] submitted on 2018-03-23 07:03:32

Neutrosophic Rough Set Algebra

Authors: C. Antony Crispin Sweety, I. Arockiarani
Comments: 9 Pages.

A rough set is a formal approximation of a crisp set which gives lower and upper approximation of original set to deal with uncertainties. The concept of neutrosophic set is a mathematical tool for handling imprecise, indeterministic and inconsistent data. In this paper, we defne concepts of Rough Neutrosophic algebra and investigate some of their properties.
Category: General Mathematics

[2590] viXra:1803.0509 [pdf] submitted on 2018-03-23 07:06:01

Neutrosophic Soft Rough Graphs with Application

Authors: Muhammad Akram, Hafsa M. Malik, Sundas Shahzadi, Florentin Smarandache
Comments: 27 Pages.

Neutrosophic sets (NSs) handle uncertain information while fuzzy sets (FSs) and intuitionistic fuzzy sets (IFs) fail to handle indeterminate information.
Category: General Mathematics

[2589] viXra:1803.0507 [pdf] submitted on 2018-03-23 07:08:16

Neutrosophic Triplet Normed Space

Authors: Mehmet Şahin, Abdullah Kargın
Comments: 8 Pages.

In this paper; new properties for neutrosophic triplet groups are introduced. A notion of neutrosophic triplet metric space is given and properties of neutrosophic triplet metric spaces are studied.
Category: General Mathematics

[2588] viXra:1803.0506 [pdf] submitted on 2018-03-23 07:09:29

Neutrosophic Vague Generalized Pre-Closed Sets in Neutrosophic Vague Topological Spaces

Authors: A.Mary Margaret, M.Trinita Pricilla
Comments: 13 Pages.

The aim of this paper is to introduce and develop a new class of sets namely neutrosophic vague generalized pre-closed sets in neutrosophic vague topological space. Further we have analyse the properties of neutrosophic vague generalized pre-open sets.
Category: General Mathematics

[2587] viXra:1803.0505 [pdf] submitted on 2018-03-23 07:14:54

Neutrosophy, a Sentiment Analysis Model

Authors: Florentin Smarandache, Mirela Teodorescu, Daniela Gîfu
Comments: 4 Pages.

This paper describes the importance of Neutrosophy Theory in order to find a method that could solve the uncertainties arising on discursive analysis.
Category: General Mathematics

[2586] viXra:1803.0504 [pdf] submitted on 2018-03-23 07:15:46

New Approach for Failure Mode and Effect Analysis Using Linguistic Distribution Assessments and Todim Method

Authors: Jia Huang, Zhaojun Li, Hu-Chen Liu
Comments: 8 Pages.

As a proactive risk management instrument, failure mode and effect analysis (FMEA) has been broadly utilized to recognize, evaluate and eliminate failure modes of products, processes, systems and services. Nevertheless, the conventional FMEA method suffers from many important deficiencies when used in the real world.
Category: General Mathematics

[2585] viXra:1803.0503 [pdf] submitted on 2018-03-23 07:17:41

New Neutrosophic Approach to Image Segmentation

Authors: Yanhui Guo, H.D.Cheng
Comments: 9 Pages.

Neutrosophic set (NS), a part of neutrosophy theory, studies the origin, nature and scope of neutralities, as well as their interactions with different ideational spectra.
Category: General Mathematics

[2584] viXra:1803.0501 [pdf] submitted on 2018-03-22 11:48:26

Neutrosophic Logic as a Five-Valued Vector Space © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

Neutrosophic logic is defined as a five-valued logic on {-0, 0, 0<p<1, 1, 1+}. We map this using Meth8/VL4 and find it not tautologous. We next map the multiplication look up table of sub-indeterminacies and find it a vector space. Neutrosophic logic is not suitable as a universal logic to map and confirm all other logic systems.
Category: General Mathematics

[2583] viXra:1803.0499 [pdf] submitted on 2018-03-22 19:18:51

Refutation of Dezert-Smarandache Theory © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

The Dezert-Smarandache theory arises from the following scenario with Alice and Bob as suspects. That either Alice or Bob is not innocent or both Alice and Bob are not innocent is a tautology. If cast with a probability, that either Alice or Bob is not innocent or both Alice and Bob are not innocent is ordinal one. Neither scenario is tautologous in the Meth8/VL4 modal logic model checker.
Category: General Mathematics

[2582] viXra:1803.0490 [pdf] submitted on 2018-03-22 08:44:38

Correlation Coefficients of Probabilistic Hesitant Fuzzy Elements and Their Applications to Evaluation of the Alternatives

Authors: Zhong-xing Wang, Jian Li
Comments: 18 Pages.

Correlation coefficient is one of the broadly use indexes in multi-criteria decision-making (MCDM) processes. However, some important issues related to correlation coefficient utilization within probabilistic hesitant fuzzy environments remain to be addressed.
Category: General Mathematics

[2581] viXra:1803.0489 [pdf] submitted on 2018-03-22 08:46:50

Cosine Based and Extended Transmissibility Damage Indicators for Structural Damage Detection

Authors: Yun-Lai Zhou, Magd Abdel Wahab
Comments: 9 Pages.

Structural damage detection using vibration-based techniques and transmissibility is investigated and proposed with elaborating the mathematical interrelationship between modal assurance criterion (MAC) and cosine similarity measure.
Category: General Mathematics

[2580] viXra:1803.0488 [pdf] submitted on 2018-03-22 08:48:03

Decision Process in MCDM with Large Number of Criteria and Heterogeneous Risk Preferences

Authors: Jian Liu, Hong-Kuan Zhao, Zhao-Bin Li, Si-Feng Liu
Comments: 7 Pages.

A new decision process is proposed to address the challenge that a large number criteria in the multicriteria decision making (MCDM) problem and the decision makers with heterogeneous risk preferences.
Category: General Mathematics

[2579] viXra:1803.0486 [pdf] submitted on 2018-03-22 08:48:57

Determining Strategy Based Supplier Pre-Qualification Criteria With Fuzzy Relational Maps

Authors: Gülcan Petriçli, Gül Gökay Emel
Comments: 30 Pages.

Supplier Selection is one of the most studied areas in management and decision sciences. However, it is still a highly problematic subject since decision-makers take an educated guess after a certain stage in real life practices.
Category: General Mathematics

[2578] viXra:1803.0485 [pdf] submitted on 2018-03-22 08:50:04

Discovered “Angel Particle”, which is Both Matter and Antimatter, as a New Experimental Proof of Unmatter

Authors: Florentin Smarandache, Dmitri Rabounski
Comments: 1 Page.

“Angel particle” bearing properties of both particles and anti-particles, which was recently discovered by the Stanford team of experimental physicists, is usually associated with Majorana fermions (predicted in 1937 by Ettore Majorana). In this message we point out that particles bearing properties of both matter and anti-matter were as well predicted without any connexion with particle physics, but on the basis of pure mathematics, namely — neutrosophic logic which is a generalization of fuzzy and intuitionistic fuzzy logics in mathematics.
Category: General Mathematics

[2577] viXra:1803.0484 [pdf] submitted on 2018-03-22 08:51:42

Doua Probleme de Minim Geometric

Authors: Ion PATRASCU, Florentin SMARANDACHE
Comments: 3 Pages.

In acest articol rezolvam doua probleme de minim geometric.
Category: General Mathematics

[2576] viXra:1803.0483 [pdf] submitted on 2018-03-22 08:53:19

Entropy-Based Weights on Decision Makers in Group Decision-Makingsetting with Hybrid Preference Representations

Authors: Chuan Yue
Comments: 13 Pages.

The weights of decision makers play an important role in group decision-making problems. Entropy is avery important measure in information science.
Category: General Mathematics

[2575] viXra:1803.0481 [pdf] submitted on 2018-03-22 08:55:52

Evaluation of Classification Algorithms for Intrusion Detection in Manets

Authors: Sergio Pastrana, Aikaterini Mitrokotsa, Agustin Orfila, Pedro Peris-Lopez
Comments: 19 Pages.

Mobile Ad hoc Networks (MANETs) are wireless networks without fixed infrastructure based on the cooperation of independent mobile nodes.
Category: General Mathematics

[2574] viXra:1803.0479 [pdf] submitted on 2018-03-22 08:57:02

Evaluation of e-Commerce Websites: an Integrated Approach Under a Single-Valued Trapezoidal Neutrosophic Environment

Authors: Ruxia Liang, Jianqiang Wang, Hongyu Zhang
Comments: 16 Pages.

E-commerce website evaluation is recognized as a complex multi-criteria decision-making (MCDM) problem involving vast amounts of imprecise and inconsistent evaluation data. Single-valued trapezoidal neutrosophic numbers (SVTNNs), which are elements in single-valued trapezoidal neutrosophic sets (SVTNSs), have a strong capacity to model such complex evaluation information.
Category: General Mathematics

[2573] viXra:1803.0478 [pdf] submitted on 2018-03-22 08:58:19

Evidence Supporting Measure of Similarity for Reducing the Complexity in Information Fusion

Authors: Xinde Li, Jean Dezert, Florentin Smarandache, Xinhan Huang
Comments: 18 Pages.

This paper presents a newmethod for reducing the number of sources of evidence to combine in order to reduce the complexity of the fusion processing. Such a complexity reduction is often required in many applications where the real-time constraint and limited computing resources are of prime importance.
Category: General Mathematics

[2572] viXra:1803.0477 [pdf] submitted on 2018-03-22 08:59:37

Evidential Cognitive Maps

Authors: Bingyi Kang, Yong Deng, Rehan Sadiq, Sankaran Mahadevan
Comments: 10 Pages.

In order to handle uncertain information, this paper proposes evidential cognitive maps (ECMs), similar to the fuzzy cognitive maps (FCMs). ECMs are uncertain-graph structures for representing causal reasoning through the combination of cognitive maps and Dempster Shafer evidence theory. The framework of ECMs is developed in detail and an application to socio-economic model is used to illustrate the application of the proposed methodology.
Category: General Mathematics

[2571] viXra:1803.0476 [pdf] submitted on 2018-03-22 09:00:22

Evolving an Integral Ecology of Mind

Authors: Chris Lucas
Comments: 7 Pages.

A deliberation upon the possibility of generating a comprehensive view of ‘mind as a whole’ by integrating biology, psychology and sociology, and considering ‘Mind’ as a dynamical interplay between values existing over many levels and scales of complex systems.
Category: General Mathematics

[2570] viXra:1803.0474 [pdf] submitted on 2018-03-22 09:02:25

Frank Choquet Bonferroni Mean Operators of Bipolar Neutrosophic Sets and Their Application to Multi-criteria Decision-Making Problems

Authors: Le Wang, Hong-yu Zhang, Jian-qiang Wang
Comments: 16 Pages.

In this study, comprehensive multi-criteria decision-making (MCDM) methods are investigated under bipolar neutrosophic environment. First, the operations of BNNs are redefined based on the Frank operations considering the extant operations of bipolar neutrosophic numbers (BNNs) lack flexibility and robustness.
Category: General Mathematics

[2569] viXra:1803.0473 [pdf] submitted on 2018-03-22 09:05:45

Fully-Automated Segmentation of Fluid Regions in Exudative Age-Related Macular Degeneration Subjects: Kernel Graph Cut in Neutrosophic Domain

Authors: Abdolreza Rashno, Behzad Nazari, Dara D. Koozekanani, Paul M. Drayna, Saeed Sadri, Hossein Rabbani, Keshab K. Parhi
Comments: 26 Pages.

A fully-automated method based on graph shortest path, graph cut and neutrosophic (NS) sets is presented for fluid segmentation in OCT volumes for exudative age related macular degeneration (EAMD) subjects.
Category: General Mathematics

[2568] viXra:1803.0472 [pdf] submitted on 2018-03-22 09:06:54

Fuzzy Based Optimal QoS Constraint Services Composition in Mobile Ad Hoc Networks

Authors: P Veeresh, R Praveen Sam, C Shoba Bindu
Comments: 9 Pages.

In recent years, computational capability of mobile devices such as Laptops, mobile phones, PDAs, etc., are greatly improved. Implementation of SOA ("Service Oriented Architectures") in mobile ad hoc networks increases the flexibility of using mobile devices.
Category: General Mathematics

[2567] viXra:1803.0471 [pdf] submitted on 2018-03-22 09:08:06

Fuzzy Cognitive Maps Approach to Identify Risk Factors of Diabetes

Authors: Ashraful Alam
Comments: 9 Pages.

Fuzzy Cognitive Maps (FCM) have been applied in many fields successfully to show the causes and effect relationship. In this research work, the relationship between risk factors band symptoms of Diabetes has been analyzed with the help of FCM. FCM is a fuzzy-graph modeling approach based on expert’s opinion.
Category: General Mathematics

[2566] viXra:1803.0470 [pdf] submitted on 2018-03-22 09:09:20

Fuzzy Dematel Method for Identifying LMS Evaluation Criteria

Authors: Muhammad Nazir Muhammad, Nadire Cavus
Comments: 8 Pages.

Today, many common activities have been transformed to electronic and online based environments because of the increased usage of technology and the Internet. Education is one of the sectors that is using computer technologies for training and delivering learning information to learners.
Category: General Mathematics

[2565] viXra:1803.0466 [pdf] submitted on 2018-03-22 09:16:21

Generalizations of Neutrosophic Subalgebras in Bck=bci-Algebras Based on Neutrosophic Points

Authors: Seon Jeong Kim, Seok-Zun Song, Young Bae Jun
Comments: 16 Pages.

As a more general platform which extends the notions of the classical set, fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set, Smarandache developed the concept of neutrosophic set which consists of three member functions, so called truth membership function, indeterminacy membership function and falsity membership function.
Category: General Mathematics

[2564] viXra:1803.0465 [pdf] submitted on 2018-03-22 09:17:31

Generalized Interval Neutrosophic Rough Sets and its Application in Multi-Attribute Decision Making

Authors: Hai-Long Yang, Yan-Ling Bao, Zhi-Lian Guo
Comments: 23 Pages.

Neutrosophic set (NS) was originally proposed by Smarandache to handle indeterminate and inconsistent information. It is a generalization of fuzzy sets and intuitionistic fuzzy sets. Wang and Smarandache proposed interval neutrosophic sets (INS) which is a special case of NSs and would be extensively applied to resolve practical issues.
Category: General Mathematics

[2563] viXra:1803.0464 [pdf] submitted on 2018-03-22 09:19:06

Generalized Neutrosophic Contra-Continuity

Authors: R. Dhavaseelan, S. Jafari, C. Ozel, M. A. Al-Shumrani
Comments: 17 Pages.

In this paper, the concepts of generalized neutrosophic contra-continuous function, gen- eralized neutrosophic contra-irresolute function and strongly generalized neutrosophic contra-continuous function are introduced. Some interesting properties are also studied.
Category: General Mathematics

[2562] viXra:1803.0460 [pdf] submitted on 2018-03-22 09:25:44

Graph Structures in Bipolar Neutrosophic Environment

Authors: Muhammad Akram, Muzzamal Sitara, Florentin Smarandache
Comments: 20 Pages.

A bipolar single-valued neutrosophic (BSVN) graph structure is a generalization of a bipolar fuzzy graph. In this research paper, we present certain concepts of BSVN graph structures.We describe some operations on BSVN graph structures and elaborate on these with examples. Moreover, we investigate some related properties of these operations.
Category: General Mathematics

[2561] viXra:1803.0459 [pdf] submitted on 2018-03-22 09:27:06

Group Decision Making Using Neutrosophic Soft Matrix: an Algorithmic Approach

Authors: Sujit Das, Saurabh Kumar, Samarjit Kar, Tandra Pal
Comments: 20 Pages.

This article proposes an algorithmic approach for group decision making (GDM) problems using neutrosophic soft matrix (NSM) and relative weights of experts. NSM is the matrix representation of neutrosophic soft sets (NSSs), where NSS is the combination of neutrosophic set and soft set.
Category: General Mathematics

[2560] viXra:1803.0458 [pdf] submitted on 2018-03-22 09:28:01

Haptic Interfaces for Compensating Dynamics of Rescue Walking Robots

Authors: Octavian Melinte, Luige Vladareanu, Radu A. Munteanu, Hongnian Yu
Comments: 7 Pages.

This paper presents a Neural Network approach to compensate dynamic terms, friction force in particular, of a rescue walking robot used in haptic interfaces. The impedance control through dynamic compensation of the friction force is studied, followed by the implementation of neural intelligent networks in the feed-forward loop in order to eliminate the corresponding terms in the dynamics, friction force in particular. The friction force model is analyzed using a general compensation method after which a trained Multi-Layer Neural Network is introduced in order to obtain an accurate friction model so that the movement of the walking robot feels free and unconstraint.
Category: General Mathematics

[2559] viXra:1803.0457 [pdf] submitted on 2018-03-22 09:29:14

How a Synthesizer Works

Authors: Victor Christianto, Florentin Smarandache
Comments: 2 Pages.

In their classic book, the art of thinking, Robert Bramson and Allen Harrison describe five thinking styles that one tends to adopt: pragmatist, analyst, realist, synthesist, and idealist. In this paper, we tell our story on thinking modes we often use, and sometimes we took a synthesizer mode, i.e. to combine three or four of the above thinking styles. We present some examples too. We hope this retelling may be useful for young scientists and mathematicians in developing new theories either in theoretical physics and cosmology.
Category: General Mathematics

[2558] viXra:1803.0456 [pdf] submitted on 2018-03-22 09:30:28

How Objective a NeutralWord Is? A Neutrosophic Approach for the Objectivity Degrees of NeutralWords

Authors: Mihaela Colhon, Stefan Vladutescu, Xenia Negrea
Comments: 14 Pages.

In the latest studies concerning the sentiment polarity of words, the authors mostly consider the positive and negative constructions, without paying too much attention to the neutral words, which can have, in fact, significant sentiment degrees.
Category: General Mathematics

[2557] viXra:1803.0455 [pdf] submitted on 2018-03-22 09:31:43

Identifikasi Struktur Dasar Smarandache Near-Ring

Authors: Yohana Yunet Bakarbessy, Henry W. M. Patty, Elvinus R. Persulessy
Comments: 6 Pages.

Penelitian ini membahas identifikasi struktur-struktur tersebut melalui definisi dan teorema dengan tahapan sebagai berikut : mengidentifikasi struktur ring dan perkembangannya seperti lapangan, near-ring dan near-field, mengidentifikasi struktur dasar Smarandache near-ring yang dibangun oleh near-ring dengan himpunan bagian sejatinya near-field, mengidentifikasi struktur dasar Smarandache near-ring lainnya berdasarkan perkembangan struktur dasar Smarandache near-ring.
Category: General Mathematics

[2556] viXra:1803.0454 [pdf] submitted on 2018-03-22 09:33:52

Improved Cosine Similarity Measures of Simplified Neutrosophic Sets for Medical Diagnoses

Authors: Jun Ye
Comments: 9 Pages.

In pattern recognition and medical diagnosis, similarity measure is an important mathematical tool. To overcome some disadvantages of existing cosine similarity measures of simplified neutrosophic sets (SNSs) in vector space, this paper proposed improved cosine similarity measures of SNSs based on cosine function, including single valued neutrosophic cosine similarity measures and interval neutrosophic cosine similarity measures. Then, weighted cosine similarity measures of SNSs were introduced by taking into account the importance of each element. Further, a medical diagnosis method using the improved cosine similarity measures was proposed to solve medical diagnosis problems with simplified neutrosophic information.
Category: General Mathematics

[2555] viXra:1803.0453 [pdf] submitted on 2018-03-22 09:35:20

Individual Tree Crown Delineation Using Multi-Wavelength Titan LiDAR Data

Authors: F. Naveed, B. Hu
Comments: 6 Pages.

The inability to detect the Emerald Ash Borer (EAB) at an early stage has led to the enumerable loss of different species of ash trees. Due to the increasing risk being posed by the EAB, a robust and accurate method is needed for identifying Individual Tree Crowns (ITCs) that are at a risk of being infected or are already diseased.
Category: General Mathematics

[2554] viXra:1803.0452 [pdf] submitted on 2018-03-22 09:36:53

Inductive Learning in Shared Neural Multi-Spaces

Authors: Edjard de Souza Mota, Jacob M. Howe, Artur S. d'Avila Garcez
Comments: 12 Pages.

The learning of rules from examples is of continuing interest to machine learning since it allows generalization from fewer training examples. Inductive Logic Programming (ILP) generates hypothetical rules (clauses) from a knowledge base augmented with (positive and negative) examples.
Category: General Mathematics

[2553] viXra:1803.0450 [pdf] submitted on 2018-03-22 09:39:17

Innovative Approaches for N-valued Interval Neutrosophic Sets and their Execution in Medical Diagnosis

Authors: A. Edward Samuel, R. Narmadhagnanam
Comments: 12 Pages.

The objective of the study was to find out the relationship between the disease and the symptoms seen within patients and diagnose the disease that impacted the patient using n-valued interval neutrosophic sets. Neoteric methods were devised in n-valued interval neutrosophic sets. Utilization of medical diagnosis was commenced with using prescribed procedures to identify a person suffering from the disease for a considerable period. The result showed that the proposed methods were free from shortcomings that affect the existing methods and found to be more accurate in diagnosing the diseases. It was concluded that the techniques adopted in this study were more reliable and easier to handle medical diagnosis problems.
Category: General Mathematics

[2552] viXra:1803.0448 [pdf] submitted on 2018-03-22 09:50:12

Interval Target-Based Vikor Method Supported on Interval Distance and Preference Degree for Machine Selection

Authors: Arian Hafezalkotob, Ashkan Hafezalkotob
Comments: 13 Pages.

By considering target values for attributes in addition to beneficial and non-beneficial attributes, a traditional MADM technique is converted to a comprehensive form. In many machine selection problems, some attributes have given target values.
Category: General Mathematics

[2551] viXra:1803.0447 [pdf] submitted on 2018-03-22 09:51:19

Interval-Valued Neutrosophic Graph Structures

Authors: Muhammad Akram, Muzzamal Sitara
Comments: 25 Pages.

In this research article, we introduce certain notions of interval-valued neutrosophic graph structures.
Category: General Mathematics

[2550] viXra:1803.0446 [pdf] submitted on 2018-03-22 10:07:53

Introduction to the Special Section on Image and Video Processing

Authors: Florentin SMARANDACHE
Comments: 4 Pages.

Image and video processing research has undergone enormous changes and development in recent decades. This is due to the rapid advancements of visual technologies and their use in portable devices, medical imaging, and video streaming, for applications in photography, social media, entertainment, security and health care, among others. As images and video have become main means of communication and verification, the creation, transfer, and storage of high-quality imagesand videos require special attention.
Category: General Mathematics

[2549] viXra:1803.0445 [pdf] submitted on 2018-03-22 10:09:15

Intuitionistic Continuous, Closed and Open Mappings

Authors: J. G. Lee, P. K. Lim, J. H. Kim, K. Hur
Comments: 21 Pages.

First of all, we dene an intuitionistic quotient mapping and obtain its some properties. Second, we dene some types continuities, open and closed mappings. And we investigate relationships among them and give some examples. Finally, we introduce the notions of an intuitionistic subspace and the heredity, and obtain some properties of each concept.
Category: General Mathematics

[2548] viXra:1803.0444 [pdf] submitted on 2018-03-22 10:10:12

Intuitionistic Fuzzy Set Vs. Fuzzy Set Application in Medical Pattern Recognition

Authors: Vahid Khatibi, Gholam Ali Montazer
Comments: 10 Pages.

One of the toughest challenges in medical diagnosis is uncertainty handling.The detection of intestinal bacteria such as Salmonella and Shigella which cause typhoid fever and dysentery, respectively, is one such challenging problem for microbiologists.
Category: General Mathematics

[2547] viXra:1803.0443 [pdf] submitted on 2018-03-22 10:11:35

Intuitionistic Topological Spaces

Authors: J. H. Kim, P. K. Lim, J. G. Lee, K. Hur
Comments: 18 Pages.

First of all, we list some concepts and results introduced by[10, 15]. Second, we give some examples related to intuitionistic topologies and intuitionistic bases, and obtain two properties of an intuitionistic base and an intuitionistic subbase. And we dene intuitionistic intervals in R.Finally, we dene some types of intuitionistic closures and interiors, and obtain their some properties.
Category: General Mathematics

[2546] viXra:1803.0440 [pdf] submitted on 2018-03-22 10:15:01

Logarithmic Similarity Measure Between Interval-Valued Fuzzy Sets and Its Fault Diagnosis Method

Authors: Zhikang Lu, Jun Ye
Comments: 12 Pages.

Fault diagnosis is an important task for the normal operation and maintenance of equipment. In many real situations, the diagnosis data cannot provide deterministic values and are usually imprecise or uncertain.
Category: General Mathematics

[2545] viXra:1803.0439 [pdf] submitted on 2018-03-22 10:16:40

MCDM Method for N-Wise Criteria Comparisons and Inconsistent Problems

Authors: Azeddine Elhassouny, Florentin Smarandache
Comments: 13 Pages.

The purpose of this paper is to present an e[xtension and alternative of the hybrid method based on Saaty’s Analytical Hierarchy Process and Technique for Order Preference by Similarity to Ideal Solution method (AHP-TOPSIS), that based on the AHP and its use of pairwise comparisons, to a new method called α -D MCDM-TOPSIS( α -Discounting Method for multicriteria decision making-TOPSIS).
Category: General Mathematics

[2544] viXra:1803.0437 [pdf] submitted on 2018-03-22 10:19:12

Fuzzy Equivalence on Standard and Rough Neutrosophic Sets and Applications to Clustering Analysis

Authors: Nguyen Xuan Thao, Le Hoang Son, Bui Cong Cuong, Mumtaz Ali, Luong Hong Lan
Comments: 9 Pages.

In this paper, we propose the concept of fuzzy equivalence on standard neutrosophic sets and rough standard neutrosophic sets. We also provide some formulas for fuzzy equivalence on standard neutrosophic sets and rough standard neutrosophic sets. We also apply these formulas for cluster analysis. Numerical examples are illustrated.
Category: General Mathematics

[2543] viXra:1803.0436 [pdf] submitted on 2018-03-22 10:20:28

Model for Residential House Element and Material Selection by Neutrosophic Multimoora Method

Authors: Edmundas Kazimieras Zavadskas, Romualdas Bausys, Birute Juodagalviene, Inga Garnyte-Sapranaviciene
Comments: 10 Pages.

This article aims to create a theoretical evaluation model based on decision support methods for the residential house construction materials and elements selection. The research and analyses of most of the scientists are invoked on individual elements and materials of the building, which have an impact on different aspects of sustainability.
Category: General Mathematics

[2542] viXra:1803.0435 [pdf] submitted on 2018-03-22 10:22:21

Modeling and Characterization of Vegetation, Aquatic and Mineral Surfaces Using the Theory of Plausible and Paradoxical Reasoning from Satellite Images: Case of the Toumodi-Yamoussoukro-Tiébissou Zone in V Baoulé (Côte D’Ivoire)

Authors: Jean-Claude Okaingni, Sié Ouattara, Adles Kouassi, Wognin J. Vangah, Aubin K. Koffi, Alain Clement
Comments: 17 Pages.

In this paper, the theory of plausible and paradoxical reasoning of Dezert-Smarandache (DSmT) is used to take into account the paradoxical character through the intersections of vegetation, aquatic and mineral surfaces. In order to do this, we developed a classification model of pixels by aggregating information using the DSmT theory based on the PCR5 rule using the NDVI, MNDWI and NDBaI spectral indices obtained from the ASTER satellite images.
Category: General Mathematics

[2541] viXra:1803.0431 [pdf] submitted on 2018-03-22 07:33:12

A Study of Early Prediction and Classification of Arthritis Disease using Soft Computing Techniques

Authors: S. Shanmugam, J. Preethi
Comments: 13 Pages.

Arthritis is the most familiar element of disability in the World. At a rate of 20 million people in the US are suffering from Arthritis. It characterizes around 200 rheumatic diseases and conditions that influence joints. The tissues surround the joint, and other connective tissue.
Category: General Mathematics

[2540] viXra:1803.0428 [pdf] submitted on 2018-03-22 07:36:47

A Systematic Review and Meta-Analysis of Swara and Waspas Methods: Theory and Applications with Recent Fuzzy Developments

Authors: Abbas Mardani, Mehrbakhsh Nilashi, Norhayati Zakuan, Nanthakumar Loganathan, Somayeh Soheilirad, Muhamad Zameri Mat Saman, Othman Ibrahim
Comments: 28 Pages.

The Multiple Criteria Decision Making (MCDM) utility determining approaches and fuzzy sets are considered to be new development approaches, which have been recently presented, extended, and used by some scholars in area of decision making.
Category: General Mathematics

[2539] viXra:1803.0427 [pdf] submitted on 2018-03-22 07:40:13

Automated Breast Cancer Detection and Classification Using Ultrasound Images: a Survey

Authors: H.D. Cheng, JuanShan, Wen Ju, Yanhui Guo, Ling Zhang
Comments: 19 Pages.

Breast cancer is the second leading cause of death for women all over the world. Since the cause of the disease remains unknown, early detection and diagnosis is the key for breast cancercontrol,and it can increase the success of treatment, save lives and reduce cost.
Category: General Mathematics

[2538] viXra:1803.0423 [pdf] submitted on 2018-03-22 07:44:29

Axiomatic Generalization of the Membership Degree Weighting Function for Fuzzy C Means Clustering: Theoretical Development and Convergence Analysis

Authors: Arkajyoti Saha, Swagatam Das
Comments: 17 Pages.

For decades practitioners have been using the center-based partitional clustering algorithms like Fuzzy C Means (FCM), which rely on minimizing an objective function, comprising of an appropriately weighted sum of distances of each data point from the cluster representatives.
Category: General Mathematics

[2537] viXra:1803.0422 [pdf] submitted on 2018-03-22 07:46:01

Behavioral Simulation and Optimization of Generation Companies in Electricity Markets by Fuzzy Cognitive Map

Authors: S.F. Ghaderi, A. Azadeh, B. Pourvalikhan Nokhandan, E. Fathi
Comments: 12 Pages.

Simulation can be used in a wide range of applications in an electricity market. There are many reasons that market players and regulators are very interested in anticipating the behavior of the market. Behavior of a generation company (GENCO) in electricity market is an important factor that affects the market behavior. Several factors affect the behavior of a GENCO directly and indirectly.
Category: General Mathematics

[2536] viXra:1803.0421 [pdf] submitted on 2018-03-22 07:48:23

Binary Classification Using Ensemble Neural Networks and Interval Neutrosophic Sets

Authors: Pawalai Kraipeerapun, Chun Che Fung
Comments: 12 Pages.

This paper presents an ensemble neural network and interval neutrosophic sets approach to the problem of binary classification.
Category: General Mathematics

[2535] viXra:1803.0419 [pdf] submitted on 2018-03-22 07:50:43

Bipolar Neutrosophic Soft Sets and Applications in Decision Making

Authors: Mumtaz Ali, Le Hoang Son, Irfan Deli, Nguyen Dang Tien
Comments: 11 Pages.

Neutrosophic set, proposed by Smarandache considers a truth membership function, an indeterminacy membership function and a falsity membership function. Soft set, proposed by Molodtsov is a mathematical framework which has the ability of independency of parameterizations inadequacy, syndrome of fuzzy set, rough set, probability.
Category: General Mathematics

[2534] viXra:1803.0418 [pdf] submitted on 2018-03-22 07:51:46

Cercurile Apollonius de Rangul −1

Authors: Ion PATRASCU, Florentin SMARANDACHE
Comments: 2 Pages.

In this Note, the authors present some properties of Apollonius circles of rank −1 associated to a triangle.
Category: General Mathematics

[2533] viXra:1803.0415 [pdf] submitted on 2018-03-22 07:56:02

Color Texture Image Segmentation Based on Neutrosophic Set and Wavelet Transformation

Authors: Abdulkadir Sengura, Yanhui Guo
Comments: 11 Pages.

Efficient and effective image segmentation is an important task in computer vision and pattern recognition. Since fully automatic image segmentation is usually very hard for natural images, interactive schemes with a few simple user inputs are good solutions.
Category: General Mathematics

[2532] viXra:1803.0414 [pdf] submitted on 2018-03-22 07:57:06

Combined Endeavor of Neutrosophic Set and Chan-Vese Model to Extract Accurate Liver Image from CT Scan

Authors: Sangeeta K Siri, Mrityunjaya V. Latte
Comments: 9 Pages.

Many different diseases can occur in the liver, including infections such as hepatitis, cirrhosis, cancer and over effect of medication or toxins. The foremost stage for computer-aided diagnosis of liver is the identification of liver region.
Category: General Mathematics

[2531] viXra:1803.0413 [pdf] submitted on 2018-03-22 07:58:18

Comparative Review of Image Denoising and Segmentation Approaches For Detection of Tumor in Brain Images

Authors: Harmeet Kaur, Navdeep Singh
Comments: 8 Pages.

A group of defective cells that grow inside or around the brain referred as Barin Tumor. The number of Brain Tumor cases around the World is increasing day by day. So, it is significant to detect it at anearly stage. Segmentation of brain images holds thesignificant part for detection of Tumor brain.
Category: General Mathematics

[2530] viXra:1803.0412 [pdf] submitted on 2018-03-22 07:59:54

Comparative Studies of Theories of Force as well as Generalized Theories Clusters of Force and Fifth Force

Authors: Fu Yuhua
Comments: 9 Pages.

As No.4 of comparative physics series papers, this paper mainly discusses the comparative studies of various theories (or formulae) of force, and on this basis, presents the concepts of generalized theory of force and generalized theories clusters of force.
Category: General Mathematics

[2529] viXra:1803.0411 [pdf] submitted on 2018-03-22 08:01:12

Complex System with Flows and Synchronization

Authors: Linfan MAO
Comments: 20 Pages.

A complex system S consists of m components, maybe inconsistence with m ≥ 2 such as those of self-adaptive systems, particularly the biological systems and usually, a system with contradictions, i.e., there are no a classical mathematical subfield applicable. Then, how can we hold its global and local behaviors or true face?
Category: General Mathematics

[2528] viXra:1803.0410 [pdf] submitted on 2018-03-22 08:02:37

Complex Vague Set Based Concept Lattice

Authors: Prem Kumar Singh
Comments: 9 Pages.

Recently, the calculus of concept lattice is extended from unipolar to bipolar fuzzy space for precise measurement of vagueness in the attributes based on their acceptation and rejection part. These ex- tensions still unable to highlight the uncertainty in vague attributes and measurement of fluctuation at given phase of time.
Category: General Mathematics

[2527] viXra:1803.0409 [pdf] submitted on 2018-03-22 08:03:28

Computation of Smarandache Curves According to Darboux Frame in Minkowski 3-Space

Authors: H.S. Abdel-Aziz, M. Khalifa Saad
Comments: 9 Pages.

In this paper, we study Smarandache curves according to Darboux frame in the three-dimensional Minkowski space E 3 1 . Using the usual transformation between Frenet and Darboux frames, we investi- gate some special Smarandache curves for a given timelike curve lying fully on a timelike surface. Finally, we defray a computational example to confirm our main results.
Category: General Mathematics

[2526] viXra:1803.0408 [pdf] submitted on 2018-03-22 08:07:29

Computer Aided Thyroid Nodule Detection System Using Medical Ultrasound Images

Authors: Deepika Koundal, Savita Gupta, Sukhwinder Singh
Comments: 14 Pages.

Thyroid nodule is one of the endocrine problem caused due to abnormal growth of cells. This survival rate can be enhanced by earlier detection of nodules. Thus, the accurate detection of nodule is of utmost importance in providing effective diagnosis to increase the survival rate. However, accuracy of nodule detection from ultrasound images is suffered due to speckle noise. It considerably deteriorates the image quality and makes the differentiation of fine details quite difficult.
Category: General Mathematics

[2525] viXra:1803.0407 [pdf] submitted on 2018-03-22 08:15:56

Computing Minimum Spanning Tree in Interval Valued Bipolar Neutrosophic Environment

Authors: X), Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Rajkumar Verma
Comments: 5 Pages.

Interval valued bipolar neutrosophic sets is a new generalization of fuzzy set, bipolar fuzzy set, neutrosophic set and bipolar neutrosophic set so that it can handle uncertain information more flexibly in the process of decision making. In this paper, an algorithm for finding minimum spanning tree (MST) of an undirected neutrosophic weighted connected graph (UNWCG) in which the edge weights is represented by a an interval valued bipolar neutrosophic number is presented.
Category: General Mathematics

[2524] viXra:1803.0406 [pdf] submitted on 2018-03-22 08:17:34

Computing the Greatest X-eigenvector of Fuzzy Neutrosophic Soft Matrix

Authors: M. Kavitha, P. Murugadas, S. Sriram
Comments: 15 Pages.

Uncertainty forms have a very important part in our daily life. During the time we handle real life problems involving uncertainty like Medical elds, Engineering, Industry and Economics and so on.
Category: General Mathematics

[2523] viXra:1803.0405 [pdf] submitted on 2018-03-22 08:18:26

Context-Aware Cloud Service Selection Model for Mobile Cloud Computing Environments

Authors: Xu Wu
Comments: 19 Pages.

Mobile cloud computing (MCC) has attracted extensive attention in recent years. With the prevalence of MCC, how to select trustworthy and high quality mobile cloud services becomes one of the most urgent problems.
Category: General Mathematics

[2522] viXra:1803.0403 [pdf] submitted on 2018-03-22 08:21:38

Correlation Coefficient of Single-Valued Neutrosophic Hesitant Fuzzy Sets and Its Applications in Decision Making

Authors: Rıdvan Sahin, Peide Liu
Comments: 9 Pages.

As a combination of the hesitant fuzzy set (HFS) and the single-valued neutrosophic set (SVNS), the single-valued neutrosophic hesitant fuzzy set (SVNHFS) is an important concept to handle uncertain and vague information existing in real life, which consists of three membership functions including hesitancy, as the truthhesitancy membership function, the indeterminacy-hesitancy membership function and the falsity-hesitancy membership function, and encompasses the fuzzy set, intuitionistic fuzzy set (IFS), HFS, dual hesitant fuzzy set (DHFS) and SVNS.
Category: General Mathematics

[2521] viXra:1803.0401 [pdf] submitted on 2018-03-21 20:09:35

A Shorter Refutation of Neutrosophic Logic © Copyright 2018 by Colin James III All Rights Reserved.

Authors: Colin James III
Comments: 1 Page. © Copyright 2018 by Colin James III All rights reserved. info@cec-services dot com

In neutrosophic logic, the designated values are ((1 or 0) or (less_than 1 and greater_than 0)) as three sets. As rendered, it is not tautologous, not bivalent, and hence refuted. Note: This paper was uploaded to General Mathematics because of the deluge of neutrosophic papers mainly from PRC, but is more properly under the heading Set theory and logic where our other papers are regarding neutrosophic matters.
Category: General Mathematics

[2520] viXra:1803.0392 [pdf] submitted on 2018-03-21 10:09:07

A Retinal Vessel Detection Approach Based on Shearlet Transform and Indeterminacy Filtering on Fundus Images

Authors: Yanhui Guo, Ümit Budak, Abdulkadir Sengür, Florentin Smarandache
Comments: 10 Pages.

A fundus image is an effective tool for ophthalmologists studying eye diseases. Retinal vessel detection is a significant task in the identification of retinal disease regions. This study presents a retinal vessel detection approach using shearlet transform and indeterminacy filtering.
Category: General Mathematics

[2519] viXra:1803.0391 [pdf] submitted on 2018-03-21 10:11:09

A Review of Multi-Criteria Decision-Making Applications to Solve Energy Management Problems: Two Decades from 1995 to 2015

Authors: Abbas Mardania, Edmundas Kazimieras Zavadskas, Zainab Khalifah, Norhayati Zakuan, Ahmad Jusoh, Khalil Md Nor, Masoumeh Khoshnoudi
Comments: 41 Pages.

Energy management problems associated with rapid institutional, political, technical, ecological, social and economic development have been of critical concern to both national and local governments worldwide for many decades; thus, addressing such issues is a global priority.
Category: General Mathematics

[2518] viXra:1803.0390 [pdf] submitted on 2018-03-21 10:14:29

A Side Scan Sonar Image Target Detection Algorithm Based on a Neutrosophic Set and Diffusion Maps

Authors: XiaoWang, Jianhu Zhao, Bangyan Zhu, Tingchen Jiang, Tiantian Qin
Comments: 16 Pages.

To accurately achieve side scan sonar (SSS) image target detection, a novel target detection algorithm based on a neutrosophic set (NS) and diffusion maps (DMs) is proposed in this paper. Firstly, the neutrosophic subset images were obtained by transforming the input SSS image into the NS domain. Secondly, the shadowed areas of the SSS image were detected using the single gray value threshold method before the diffusion map was calculated.
Category: General Mathematics

[2517] viXra:1803.0389 [pdf] submitted on 2018-03-21 10:15:23

A Strategy of Dynamic Routing Based on SDN

Authors: Lei Cai, Dianjun Chen, Luyong Zhang
Comments: 6 Pages.

Decoupling characteristics of Software Defined Network(SDN) control plane and data plane provides us with a new idea to improve dynamic routing. SDN controllers can easily obtain the global situation of the whole network. The network topology information and bandwidth data are applied to the classical Dijstra algorithm.
Category: General Mathematics

[2516] viXra:1803.0377 [pdf] submitted on 2018-03-21 06:15:57

A Benchmark for Breast Ultrasound Image Segmentation (BUSIS)

Authors: Min Xian, Yingtao Zhang, H. D. Cheng, Fei Xu, Kuan Huang, Boyu Zhang, Jianrui Ding, Chunping Ning, Ying Wang
Comments: 9 Pages.

Breast ultrasound (BUS) image segmentation is challenging and critical for BUS Computer-Aided Diagnosis (CAD) systems. Many BUS segmentation approaches have been proposed in the last two decades, but the performances of most approaches have been assessed using relatively small private datasets with different quantitative metrics, which result in discrepancy in performance comparison.
Category: General Mathematics

[2515] viXra:1803.0375 [pdf] submitted on 2018-03-21 06:21:05

Accuracy of Rule Extraction Using a Recursive-Rule Extraction Algorithm with Continuous Attributes Combined with a Sampling Selection Technique for the Diagnosis of Liver Disease

Authors: Yoichi Hayashi, Kazuhiro Fukunaga
Comments: 13 Pages.

Although liver cancer is the second most common cause of death from cancer worldwide, because of the limited accuracy and interpretability of extracted classification rules, the diagnosis of liver disease remains difficult. In addition, hepatitis, which is inflammation of the liver, can progress to fibrosis, cirrhosis, or even liver cancer.
Category: General Mathematics

[2514] viXra:1803.0374 [pdf] submitted on 2018-03-21 06:30:21

Accurate Segmentation of Complex Document Image Using Digitalshearlet Transform with Neutrosophic Set as Uncertainty Handling Tool

Authors: Soumyadip Dhara, Malay K. Kundu
Comments: 15 Pages.

tIn any image segmentation problem, there exist uncertainties. These uncertainties occur from gray leveland spatial ambiguities in an image.
Category: General Mathematics

[2513] viXra:1803.0373 [pdf] submitted on 2018-03-21 07:02:01

A Fast Combination Method in DSmT and Its Application to Recommender System

Authors: Yilin Dong, Xinde Li, Yihai Liu
Comments: 25 Pages.

In many applications involving epistemic uncertainties usually modeled by belief functions, it is often necessary to approximate general (non-Bayesian) basic belief assignments (BBAs) to subjective probabilities (called Bayesian BBAs).
Category: General Mathematics

[2512] viXra:1803.0370 [pdf] submitted on 2018-03-21 07:41:58

A ga-LR Wrapper Approach for Feature Selection in Network Intrusion Detection

Authors: Chaouki Khammassi, Saoussen Krichen
Comments: 23 Pages.

Intrusions constitute one of the main issues in computer network security. Through malicious actions, hackers can have unauthorised access that compromises the integrity, the confidentiality, and the availability of resources or services. Intrusion detection systems (IDSs) have been developed to monitor and filter network activities by identifying attacks and alerting network administrators.
Category: General Mathematics

[2511] viXra:1803.0369 [pdf] submitted on 2018-03-21 07:45:02

A Hybrid Fuzzy C-Means and Neutrosophic for Jaw Lesions Segmentation

Authors: Mutasem K. Alsmadi
Comments: 10 Pages.

It is really important to diagnose jaw tumor in its early stages to improve its prognosis. A differential diagnosis could be performed using X-ray images; therefore, accurate and fully automatic jaw lesions image segmentation is a challenging and essential task. The aim of this work was to develop a novel, fully automatic and effective method for jaw lesions in panoramic X-ray image segmentation.
Category: General Mathematics

[2510] viXra:1803.0368 [pdf] submitted on 2018-03-21 07:46:04

Air Quality Analysis Using Complex Neutrosophic Concept Lattice

Authors: Prem Kumar Singh
Comments: 26 Pages.

The precise measurement of uncertainty exists in the complex fuzzy attributes and their graphical analytics is a mathematically expensive tasks for knowledge processing researchers. To deal with this problem recently, the calculus of complex neutrosophic sets are introduced to characterize the uncertainty in data based on its truth, indeterminacy, and falsity membership– value, independently.
Category: General Mathematics

[2509] viXra:1803.0367 [pdf] submitted on 2018-03-21 07:47:15

Algorithms for Interval Neutrosophic Multiple Attribute Decision-Making Based on Mabac, Similarity Measure, and Edas

Authors: Xindong Peng, Jingguo Dai
Comments: 27 Pages.

In this paper, we define a new axiomatic definition of interval neutrosophic similarity measure, which is presented by interval neutrosophic number (INN). Later, the objective weights of various attributes are determined via Shannon entropy theory; meanwhile, we develop the combined weights, which can show both subjective information and objective information.
Category: General Mathematics

[2508] viXra:1803.0366 [pdf] submitted on 2018-03-21 07:48:30

Algorithms for Neutrosophic Soft Decision Making Based on Edas, New Similarity Measure and Level Soft Set

Authors: Xindong Peng, Chong Liu
Comments: 14 Pages.

This paper presents three novel single-valued neutrosophic soft set (SVNSS) methods. First, we initiate a new axiomatic definition of single-valued neutrosophic similarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information. Then, the objective weights of various parameters are determined via grey system theory.
Category: General Mathematics

[2507] viXra:1803.0365 [pdf] submitted on 2018-03-21 07:49:51

A Multi-attribute VIKOR Decision-making Method Based on Hesitantneutrosophic Sets

Authors: Run-yu Zhang, Mingyang Yu, Yan Gao
Comments: 6 Pages.

By co mbin ing neutrosophic sets and hesitant fuzzy sets, the definition of hesitant neutrosophic sets is presented. Based on the Euclidean distance and the cosine similarity formu la, the similarity formu la of neutrosophic sets is constructed. Then its similarity formu la is also provided. According to the similarity formu la of hesitant neutrosophic sets, a new mu lti-attribute VIKOR decision-making method for hesitant neutrosophic information is develop. At last an illustrative example is given to verify its practicality and effectiveness.
Category: General Mathematics

[2506] viXra:1803.0361 [pdf] submitted on 2018-03-21 07:56:24

Analyzing Mobile Banking Quality Factors Under Neutrosophic Set Perspective: a Case Study of Turkey

Authors: Serpil Altinirmak, Basil Okoth, Mustafa Ergun, Caglar Karamasa
Comments: 14 Pages.

Mobile banking, also known as m-banking, provides low cost, innovative and easily accessible services to customers with technological developments as compared to retail banking. In this context, m-banking quality factors of the banks are considered to be important issues for customers. The aim of this study is to analyze the m-banking quality factors and to rank banks offering this service in Turkey under incomplete, inconsistent and indeterminate information.
Category: General Mathematics

[2505] viXra:1803.0360 [pdf] submitted on 2018-03-21 07:58:11

An Application of Smarandache Curve

Authors: Süleyman ŞENYURT, Selin SİVAS
Comments: 15 Pages.

In this paper, Firstly we define NC-Smarandache curve, then we calculate the curvature and torsion of NB and TNB- Smarandache curves together with NC-Smarandache curve. Here T, N and B are Frenet vectors of a curve α and vector C is unit Darboux vector.
Category: General Mathematics

[2504] viXra:1803.0359 [pdf] submitted on 2018-03-21 08:00:34

Question 443 :Golden Mean and pi

Authors: Edgar Valdebenito
Comments: 3 Pages.

In this note we recall some formulas for pi. they express pi in terms of the Golden Ratio.
Category: General Mathematics

[2503] viXra:1803.0358 [pdf] submitted on 2018-03-21 07:59:46

An Efficient Method for Choosing Most Suitable Cloud Storage Provider Based on Multi-Criteria Decision Making

Authors: Mostafa El-Baz, Ibrahim El-Henawy
Comments: 5 Pages.

Cloud Computing has already changed the way that people think about and use the information technology services. Cloud data storage is one of such services in which data is stored, managed, remotely backed up and accessed by users over the Internet. when the organization need to depend on cloud computing solution as intelligent solution ,the first problem facing the organization is to choosing the appropriate provider between different providers available especially in the cases of confused portfolios which contain complex pricing models and different criteria's. for addressing this problem the thesis providing a multi-criteria algorithm which based on neutrosophic to help the organization to choose the best appropriate providers achieving high degree of security and privacy according their requirements map .
Category: General Mathematics

[2502] viXra:1803.0357 [pdf] submitted on 2018-03-21 08:02:10

An Efficient Similarity Measure for Content Based Image Retrieval Using Memetic Algorithm

Authors: Mutasem K. Alsmadi
Comments: 11 Pages.

Content based image retrieval (CBIR) systems work by retrieving images which are related to the query image (QI) from huge databases. The available CBIR systems extract limited feature sets which confine the retrieval efficacy. In this work, extensive robust and important features were extracted from the images database and then stored in the feature repository.
Category: General Mathematics

[2501] viXra:1803.0356 [pdf] submitted on 2018-03-21 08:03:21

An Ensemble Design of Intrusion Detection System for Handling Uncertainty Using Neutrosophic Logic Classifier

Authors: B. Kavitha, S. Karthikeyan, P. Sheeba Maybell
Comments: 9 Pages.

In the real world it is a routine that one must deal with uncertainty when security is concerned. Intrusion detection systems offer a new challenge in handling uncertainty due to imprecise knowledge in classifying the normal or abnormal behaviour patterns
Category: General Mathematics

[2500] viXra:1803.0355 [pdf] submitted on 2018-03-21 08:06:02

A Neutrosophic Approach to Image Segmentation Based on Watershed Method

Authors: Ming Zhang, LingZhang, H.D.Cheng
Comments: 8 Pages.

Neutrosophy studies the origin, nature,scope of neutralities,and their interactions with different ideational spectra.
Category: General Mathematics

[2499] viXra:1803.0349 [pdf] submitted on 2018-03-21 08:27:50

A New Approach in Failure Modes and Effects Analysis Based on Compromise Solution by Considering Objective and Subjective Weights with Interval-Valued Intuitionistic Fuzzy Sets

Authors: Z. Hajighasemi, S. M. Mousavi
Comments: 23 Pages.

Failure modes and effects analysis (FMEA) is a well-known risk analysis approach that has been conducted to distinguish, analyze and mitigate serious failure modes.
Category: General Mathematics

[2498] viXra:1803.0348 [pdf] submitted on 2018-03-21 08:32:22

A New Approach of Dynamic Fuzzy Cognitive Knowledge Networks in Modelling Diagnosing Process of Meniscus Injury

Authors: Antigoni P. Anninou, Peter P. Groumpos, Panagiotis Poulios, Ioannis Gkliatis
Comments: 6 Pages.

A new approach of Dynamic Fuzzy Cognitive Knowledge Networks is presented. This is an evolutionary type of Fuzzy Cognitive Maps (FCM) that arose from the need for updating classic methodology in order to overcome its drawbacks, concerning the single calculation rule, stability and real time problems and expands its use in a varity of applications.
Category: General Mathematics

[2497] viXra:1803.0347 [pdf] submitted on 2018-03-21 08:33:31

A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making

Authors: Fangling Ren, Mingming Kong, Zheng Pei
Comments: 19 Pages.

Hesitant fuzzy linguistic decision making is a focus point in linguistic decision making, in which the main method is based on preference ordering.
Category: General Mathematics

[2496] viXra:1803.0346 [pdf] submitted on 2018-03-21 08:35:08

A New Hybrid Simulation-Based Assignment Approach for Evaluating Airlines with Multiple Service Quality Criteria

Authors: Mehdi Keshavarz Ghorabaee, Maghsoud Amiri, Edmundas Kazimieras Zavadskas, Zenonas Turskis, Jurgita Antucheviciene
Comments: 16 Pages.

Evaluation of airlines based on service quality criteria can help to improve the processes of airlines, and also can give guidance to travel agencies to provide better choices for passengers and tourists. In this study, a hybrid simulation-based assignment approach is proposed to deal with multi-criteria decision making problems with a group of decision-makers.
Category: General Mathematics

[2495] viXra:1803.0345 [pdf] submitted on 2018-03-21 08:42:59

A New Mathematical Modelling Approach for Viticulture and Winemaking Using Fuzzy Cognitive Maps

Authors: Groumpos P. Peter, Anninou P. Antogoni, Groumpos P. Vasileios
Comments: 6 Pages.

The aim of this paper is to present a new approach in modelling wine quality and quantity using Fuzzy Cognitive Maps trained by non linear Hebbian learning algorithm. The methodology described extracts the knowledge from the experts and exploits their experience on wine production. Two case studies with data from real vineyards were examined. The results of this study show that software tools using Fuzzy Cognitive Maps could be explored further and problems that arise during the wine production could be prevented by an efficient decision support system.
Category: General Mathematics

[2494] viXra:1803.0344 [pdf] submitted on 2018-03-21 08:46:50

A New Modified Neutrosophic Set Segmentation Approach

Authors: Eser Sert
Comments: 17 Pages.

Segmentation is paramount to 3D video systems employing multi-view video-plus-depth data (MVD) to implement free-viewpoint navigation and comfortable 3D viewing, modeling, and comprehension.
Category: General Mathematics

[2493] viXra:1803.0343 [pdf] submitted on 2018-03-21 08:49:49

A New Multi-Criteria Model Based on Interval Type-2 Fuzzy Sets and Edas Method for Supplier Evaluation and Order Allocation with Environmental Considerations

Authors: Mehdi Keshavarz Ghorabaee, Maghsoud Amiri, Edmundas Kazimieras Zavadskas, Zenonas Turskis, Jurgita Antucheviciene
Comments: 19 Pages.

Nowadays environmental performance of suppliers becomes more important because of competitive conditions. Besides, the economic performance has been a significant factor for companies to choose their suppliers.
Category: General Mathematics

[2492] viXra:1803.0342 [pdf] submitted on 2018-03-21 08:50:57

A Newtonian-Vortex Cosmology Model from Solar System to Galaxy to Large Scale Structures: Navier-Stokes-Inspired Cosmography

Authors: Victor Christianto, Florentin Smarandache
Comments: 4 Pages.

Some years ago, Matt Visser asked the following interesting questions: How much of modern cosmology is really cosmography? How much of modern cosmology is independent of the Einstein equations? (Independent of the Friedmann equations?)
Category: General Mathematics

[2491] viXra:1803.0337 [pdf] submitted on 2018-03-21 09:42:26

An Interval-Valued Hesitant Fuzzy Multigranulation Rough Set Over Two Universes Model for Steam Turbine Fault Diagnosis

Authors: Chao Zhang, Deyu Li, Yimin Mu, Dong Song
Comments: 12 Pages.

In the field of mechanical engineering, steam turbine fault diagnosis is a difficult task for mechanical engineers who are confronted with challenges in dealing with copious amounts of uncertain information.
Category: General Mathematics

[2490] viXra:1803.0336 [pdf] submitted on 2018-03-21 09:43:35

An Improved Clustering Method for Text Documents Using Neutrosophic Logic

Authors: Nadeem Akhtar, Mohammad Naved Qureshi, Mohd Vasim Ahamad
Comments: 13 Pages.

As a technique of Information Retrieval, we can consider clustering as an unsupervised learning problem in which we provide a structure to unlabeled and unknown data.
Category: General Mathematics

[2489] viXra:1803.0335 [pdf] submitted on 2018-03-21 09:45:00

Anomaly Detection Using the Correlational Paraconsistent Machine with Digital Signatures of Network Segment

Authors: Eduardo H.M. Pena, Luiz F. Carvalho, Sylvio Barbon Jr.Joel J.P.C. Rodrigues, Mario Lemes Proença Jr.
Comments: 16 Pages.

This study presents the correlational paraconsistent machine (CPM), a tool for anomaly detection that incorporates unsupervised models for traffic characterization and principles of paraconsistency, to inspect irregularities at the network traffic flow level.
Category: General Mathematics

[2488] viXra:1803.0331 [pdf] submitted on 2018-03-21 09:50:34

A Novel Breast Ultrasound Image Segmentation Algorithm Based on Neutrosophic Similarity Scoreand Level Set

Authors: setYanhui Guo, Abdulkadir Sengür, Jia-Wei Tian
Comments: 11 Pages.

Breast ultrasound (BUS) image segmentation is a challenging task due to the speckle noise,poor quality of the ultrasound images and size and location of the breast lesions.
Category: General Mathematics

[2487] viXra:1803.0329 [pdf] submitted on 2018-03-21 09:54:30

A Novel Generalized Simplified Neutrosophic Number Einstein Aggregation Operator

Authors: Baolin Li, Juanru Wang, Lihua Yang, Xuetao Li
Comments: 6 Pages.

In order to handle the indeterminate information and inconsistent information in some complex decision-making environment, some novel aggregation operators are firstly proposed based on Einstein operational laws and generalized aggregation operators under simplified neutrosophic environment, where the truth-membership degree, indeterminacy-membership degree and falsity-membership degree of each element are singleton subsets in [0,1] .
Category: General Mathematics

[2486] viXra:1803.0328 [pdf] submitted on 2018-03-21 09:56:11

A Novel Hybrid Kpca and SVM with ga Model for Intrusion Detection

Authors: Fangjun Kuanga, Weihong Xua, Siyang Zhang
Comments: 7 Pages.

tA novel support vector machine (SVM) model combining kernel principal component analysis (KPCA)with genetic algorithm (GA) is proposed for intrusion detection.
Category: General Mathematics

[2485] viXra:1803.0321 [pdf] submitted on 2018-03-21 10:05:20

A Novel Trapezoidal Intuitionistic Fuzzy Information Axiom Approach: an Application to Multicriteria Landfill Site Selection

Authors: Cengiz Kahraman, Selcuk Cebi, Sezi Cevik Onar, Basar Oztaysi
Comments: 16 Pages.

Information axiom is used to determine the best option among the potential alternatives. In case of uncertain parameters, information axiom has been extended to its ordinary fuzzy versions in the literature. In this paper, we developed a trapezoidal intuitionistic fuzzy information axiom model in order to handle the hesitancy of experts.
Category: General Mathematics

[2484] viXra:1803.0320 [pdf] submitted on 2018-03-21 10:06:35

A Novel Triangular Interval Type-2 Intuitionistic Fuzzy Sets and Their Aggregation Operators

Authors: Harish Garg, Sukhveer Singh
Comments: 25 Pages.

The objective of this work is to present a triangular interval type-2 (TIT2) intuitionistic fuzzy sets and their corresponding aggregation operators, namely, TIT2 intuitionistic fuzzy weighted averaging, TIT2 intuitionistic fuzzy ordered weighted averaging and TIT2 intuitionistic fuzzy hybrid averaging based on Frank norm operation laws.
Category: General Mathematics

[2483] viXra:1803.0319 [pdf] submitted on 2018-03-21 10:07:46

An Overview on the Roles of Fuzzy Set Techniques in Big Data Processing: Trends, Challenges and Opportunities

Authors: Hai Wang, Zeshui Xu, Witold Pedrycz
Comments: 16 Pages.

In the era of big data, we are facing with an immense volume and high velocity of data with complex structures. Data can be produced by online and offline transactions, social networks, sensors and through our daily life activities.
Category: General Mathematics

[2482] viXra:1803.0308 [pdf] submitted on 2018-03-20 11:01:02

On the Relations Between the Theorem of Four Colors and the Upper Limit of Dimension of Space

Authors: Ling Shuwei
Comments: 11 Pages.

The Color Dimension Theorem is divided into two parts: The first part gives a constructive proof of the four-color theorem, and points out that the existence of the "one-dimensional-two-color, two-dimensional-four-color" relationship is not accidental; The second part discusses the upper limit of the dimensionality of the space. The method is: suppose the space above the N dimension exists, there must be a geometry. Considering the projection of this geometry on the plane, we will find that this projection image produces a paradox, which means N The space above the dimension does not exist
Category: General Mathematics

[2481] viXra:1803.0294 [pdf] submitted on 2018-03-20 23:22:34

Dreams of a Mathematical Museum

Authors: D Williams
Comments: 14 Pages.

A Mathematical Museum is described for INSPIRING students and the general public and provide an alternative to the soul-destroying 19th century institutionalised rote-learning (with subsequent near-instantaneous forgetting) of barely understood material in assembly-line schools/factories of "learning" by people who are thereby taught to HATE mathematics.
Category: General Mathematics

Replacements of recent Submissions

[126] viXra:1805.0532 [pdf] replaced on 2018-05-31 07:25:23

Transformation of the Pixels in Tupper's Self-Referential Formula

Authors: Prathamesh Deshmukh
Comments: 33 Pages. This is my first research paper and I would like to have any suggestion or improvement for the paper

My research paper is "Transformation of the pixels in Tupper's self-referential formula " is Based on Tupper's self-referential formula, you might know this formula As it is popular due to its property of plotting itself. But that is not the only amazing thing about this formula, it doesn't only plot itself but it plots every possible combination of the pixels between k and k+17 on the y-axis and 0 to 106 on the x-axis I.e. it plots all possible combination of these 1802 pixels and the value of k is used for sliding over the y-axis My research idea start with a question that if there is some graphical formation at a particular value of k then what can do to change the graphical formation or to change its position, this question leads to my research which has two main ideas 1> How to change any graphical formation into other graphical formation by applying some kind of operation to the value of the k 2>How can this different graphical formation be used as a frame to create a film / motion picture So what can my research do 1> My research represent all the possible graphical (in 1802 pixels ) and all its possible variation I.e. it have every possible graphical formation which is converting into other possible graphical structure 2> You can create a formula for any film / motion picture 3> In short formulas in my research is like library of babel of film / motion picture
Category: General Mathematics

[125] viXra:1804.0001 [pdf] replaced on 2018-05-28 20:27:44

Circuit Complexity and Problem Structure in Hamming Space

Authors: Koji KOBAYASHI
Comments: 14 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine (DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit have symmetry of OR-gate input line, so NNF circuit cannot identify from OR-gate output line which of OR-gate input line is 1. So NNF circuit family cannot compute sandwich structure effectively (Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space). NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some decision problem have characteristic in sandwich structure. Different vectors of Negate HornSAT problem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, we can design high complexity problem with almost perfct nonlinear (APN) function.
Category: General Mathematics

[124] viXra:1804.0001 [pdf] replaced on 2018-05-27 07:10:18

Circuit Complexity and Problem Structure in Hamming Space

Authors: Koji KOBAYASHI
Comments: 15 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine (DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit have symmetry of OR-gate input line, so NNF circuit cannot identify from OR-gate output line which of OR-gate input line is 1. So NNF circuit family cannot compute sandwich structure effectively (Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space). NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some decision problem have characteristic in sandwich structure. Different vectors of Negate HornSAT problem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, we can design problem with coding theory. For the example, we design new problem by using linear coding which expand vector space with non linearity of primitive polynomial.
Category: General Mathematics

[123] viXra:1804.0001 [pdf] replaced on 2018-05-23 04:44:35

Circuit Complexity and Problem Structure in Hamming Space

Authors: Koji KOBAYASHI
Comments: 15 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine (DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit have symmetry of OR-gate input line, so NNF circuit cannot identify from OR-gate output line which of OR-gate input line is 1. So NNF circuit family cannot compute sandwich structure effectively (Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space). NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some decision problem have characteristic in sandwich structure. Different vectors of Negate HornSAT problem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, we can design problem with coding theory. For the example, we design new problem by using linear coding which expand vector space with non linearity of primitive polynomial.
Category: General Mathematics

[122] viXra:1804.0001 [pdf] replaced on 2018-05-19 07:09:26

Circuit Complexity and Problem Structure in Hamming Space

Authors: Koji KOBAYASHI
Comments: 15 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine (DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit have symmetry of OR-gate input line, so NNF circuit cannot identify from OR-gate output line which of OR-gate input line is 1. So NNF circuit family cannot compute sandwich structure effectively (Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space). NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some decision problem have characteristic in sandwich structure. Different vectors of Negate HornSAT problem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, we can design problem with coding theory. For the example, we design new problem by using linear coding which expand vector space with non linearity of primitive polynomial.
Category: General Mathematics

[121] viXra:1804.0001 [pdf] replaced on 2018-05-18 08:14:41

Circuit Complexity and Problem Structure in Hamming Space

Authors: Koji KOBAYASHI
Comments: 15 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine (DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit have symmetry of OR-gate input line, so NNF circuit cannot identify from OR-gate output line which of OR-gate input line is 1. So NNF circuit family cannot compute sandwich structure effectively (Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space). NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some decision problem have characteristic in sandwich structure. Different vectors of Negate HornSAT problem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, we can design problem with coding theory. For the example, we design new problem by using linear coding which expand vector space with non linearity of primitive polynomial.
Category: General Mathematics

[120] viXra:1804.0001 [pdf] replaced on 2018-05-15 10:18:51

Circuit Complexity and Problem Structure in Hamming Space.

Authors: Koji KOBAYASHI
Comments: 15 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine (DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit have symmetry of OR-gate input line, so NNF circuit cannot identify from OR-gate output line which of OR-gate input line is 1. So NNF circuit family cannot compute sandwich structure effectively (Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space). NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some decision problem have characteristic in sandwich structure. Different vectors of Negate HornSAT problem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, we can design problem with coding theory. For the example, we design new problem by using linear coding which expand vector space with non linearity of primitive polynomial.
Category: General Mathematics

[119] viXra:1804.0001 [pdf] replaced on 2018-04-16 19:32:29

Circuit Complexity and Problem Structure in Hamming Space

Authors: Koji KOBAYASHI
Comments: 15 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine(DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit family cannot compute sandwich structure effectively (Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space). So NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some dicision problem have characteristic in sandwich structure. Different vectors of Negate HornSAT prob- lem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, we can design problem with coding theory. For the example, we design new problem by using linear coding which expand vector space.
Category: General Mathematics

[118] viXra:1804.0001 [pdf] replaced on 2018-04-15 01:56:01

Circuit Complexity and Problem Structure in Hamming Space

Authors: Koji KOBAYASHI
Comments: 14 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine(DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit family cannot compute sandwich structure effectively (Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space). So NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some dicision problem have characteristic in sandwich structure. Different vectors of Negate HornSAT prob- lem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, we can design problem with coding theory. For the example, we design new problem by using linear coding which expand vector space.
Category: General Mathematics

[117] viXra:1804.0001 [pdf] replaced on 2018-04-05 06:23:29

Circuit Complexity and Problem Structure in Hamming Space

Authors: Koji KOBAYASHI
Comments: 19 Pages.

This paper describes about relation between circuit complexity and accept inputs structure in Hamming space by using almost all monotone circuit that emulate deterministic Turing machine(DTM). Circuit family that emulate DTM are almost all monotone circuit family except some NOT-gate which connect input variables (like negation normal form (NNF)). Therefore, we can analyze DTM limitation by using this NNF Circuit family. NNF circuit family cannot compute sandwich structure effectively. Sandwich structure is two accept inputs that sandwich reject inputs in Hamming space. So NNF circuit have to use unique AND-gate to identify each different vector of sandwich structure. That is, we can measure problem complexity by counting different vectors. Some dicision problem have caracteristic in sandwich structure. Different vectors of Negate HornSAT problem are at most constant length because we can delete constant part of each negative literal in Horn clauses by using definite clauses. Therefore, number of these different vector is at most polynomial size. The other hand, special subset of Negate CNFSAT problem have different vector which number is over polynomial size.
Category: General Mathematics

[116] viXra:1803.0633 [pdf] replaced on 2018-03-26 06:48:03

Almost All Monotone Circuit Family

Authors: Koji KOBAYASHI
Comments: 12 Pages.

This paper describes about "Almost all monotone circuit family" and introduce its interesting advantages to measuring problem complexity. Explained in Michael Sipser "Introduction to the Theory of COMPUTATION", circuit family that emulate Deterministic Turing machine (DTM) are almost all monotone circuit family except some NOT-gate that connect input variables (like negation normal form (NNF)). This "NNF Circuit family" have good characteristic which present each accept input exclusivity and symmetry. Each input make some INPUT-gate and NOT-gate output 1 which set is different from another input, and meet these output in OR-gate and finally connect (specified) OUTPUT-gate. That is, NNF circuit start accept input that exclusive each other, and meet each input as symmetry input step by step and finally goal same output. Especially, some different variables which sandwich reject inputs correspond to unique AND-gate. That is, we can measure problem complexity by using different variables of accept inputs. For examples, such number of different variables type of negation HornSAT is at most polynomial size. This is one of reason that we can compute P problem easily.
Category: General Mathematics

[115] viXra:1803.0633 [pdf] replaced on 2018-03-25 05:56:51

Almost All Monotone Circuit Family

Authors: Koji KOBAYASHI
Comments: 9 Pages.

This paper describes about "Almost all monotone circuit family" and introduce its interesting advantages to measuring problem complexity. Explained in Michael Sipser "Introduction to the Theory of COMPUTATION", circuit family that emulate Deterministic Turing machine (DTM) are almost all monotone circuit family except some NOT-gate that connect input variables (like negation normal form (NNF)). This "NNF Circuit family" have good characteristic which present each accept input exclusivity and symmetry. Each input make some INPUT-gate and NOT-gate output 1 which set is different from another input, and meet these output in OR-gate and finally connect (specified) OUTPUT-gate. That is, NNF circuit start accept input that exclusive each other, and meet each input as symmetry input step by step and finally goal same output. Especially, some accept input which sandwich reject inputs correspond to unique gate. That is, we can measure problem complexity by using NNF circuit and sandwich inputs. For examples, such sandwich inputs include DNF tautology problem, and Horn DNF tautology problem.
Category: General Mathematics