**Previous months:**

2010 - 1003(1) - 1005(2) - 1008(2) - 1009(1) - 1010(2) - 1011(2) - 1012(1)

2011 - 1101(2) - 1103(3) - 1105(1) - 1108(1) - 1109(1) - 1111(2)

2012 - 1202(2) - 1203(3) - 1204(2) - 1205(2) - 1206(2) - 1207(1) - 1208(3) - 1211(2) - 1212(1)

2013 - 1301(1) - 1302(4) - 1303(4) - 1304(3) - 1305(2) - 1306(4) - 1309(3) - 1310(2) - 1311(2) - 1312(2)

2014 - 1401(2) - 1402(3) - 1403(639) - 1404(85) - 1405(60) - 1406(1) - 1407(4) - 1408(1) - 1409(2) - 1411(55) - 1412(19)

2015 - 1501(7) - 1502(18) - 1503(6) - 1504(7) - 1505(1) - 1506(7) - 1507(1) - 1508(111) - 1509(18) - 1510(143) - 1511(16) - 1512(177)

2016 - 1601(65) - 1602(28) - 1603(33) - 1604(38) - 1605(18) - 1606(24) - 1607(45) - 1608(36) - 1609(39) - 1610(9) - 1611(21) - 1612(25)

2017 - 1701(241) - 1702(11) - 1703(12) - 1704(20) - 1705(53) - 1706(82) - 1707(1) - 1708(10) - 1709(23) - 1710(17) - 1711(148)

Any replacements are listed further down

[2438] **viXra:1711.0311 [pdf]**
*submitted on 2017-11-14 06:30:32*

**Authors:** Edgar Valdebenito

**Comments:** 10 Pages.

This note presents some attractors and three formulas for pi

**Category:** General Mathematics

[2437] **viXra:1711.0310 [pdf]**
*submitted on 2017-11-14 06:33:32*

**Authors:** Edgar Valdebenito

**Comments:** 6 Pages.

This note presents some formulas related with Dalzell integral.

**Category:** General Mathematics

[2436] **viXra:1711.0309 [pdf]**
*submitted on 2017-11-14 06:36:40*

**Authors:** Edgar Valdebenito

**Comments:** 5 Pages.

This note presents three integrals for pi.

**Category:** General Mathematics

[2435] **viXra:1711.0308 [pdf]**
*submitted on 2017-11-14 06:38:46*

**Authors:** Edgar Valdebenito

**Comments:** 5 Pages.

This note presents some formulas for pi.

**Category:** General Mathematics

[2434] **viXra:1711.0305 [pdf]**
*submitted on 2017-11-14 06:45:49*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

This note presents a collection of integrals for pi.

**Category:** General Mathematics

[2433] **viXra:1711.0304 [pdf]**
*submitted on 2017-11-14 06:49:36*

**Authors:** Edgar Valdebenito

**Comments:** 5 Pages.

This note presents some formulas related with the real root of the equation: x^5+x^4+x^3+x^2+x-1=0.

**Category:** General Mathematics

[2432] **viXra:1711.0254 [pdf]**
*submitted on 2017-11-08 17:56:26*

**Authors:** D Williams

**Comments:** 6 Pages.

A simple paradox in probability theory is given. It highlights how inadequate common notions of what is a "fair bet" are (examples given).

**Category:** General Mathematics

[2431] **viXra:1711.0240 [pdf]**
*submitted on 2017-11-07 03:50:18*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

In this note we explore an elliptic integral

**Category:** General Mathematics

[2430] **viXra:1711.0232 [pdf]**
*submitted on 2017-11-07 01:45:13*

**Authors:** Florentin Smarandache

**Comments:** 21 Pages.

“Outer-Art” is a movement set up as a protest against, or to ridicule, the random modern art which states that everything is… art! It was initiated by Florentin Smarandache, in 1990s, who ironically called for an upside-down artwork: to do art in a way it is not supposed to be done, i.e. to make art as ugly, as silly, as wrong as possible, and generally as impossible as possible!

**Category:** General Mathematics

[2429] **viXra:1711.0231 [pdf]**
*submitted on 2017-11-07 01:46:45*

**Authors:** Lediana Paja, Florentin Smarandache

**Comments:** 8 Pages.

Pradoksizmi është një lëvizje praktike në letërsi, art, filozofi, shkencë bazuar në përdorimet e tepruara të antitezës, antinomisë, konradiksionit, shembël-ltyrës, mosmarrëveshjes, anti-klisheve, derivimit të sensit, kundra fjalimeve, të pakuptueshmes, para-doksit, apo paradokseve të njëjta në krijime. U themelua dhe u udheheq nga Florentin Smarandache qe prej 1980, i cili u shpreh : “Qëllimi është zgjerimi i sferës artistike prej elementeve jo artistikë. Por sidomos kundra kohës, kundra kuptimit të krijimit. Eshtë gjithashtu një eksperiment”.

**Category:** General Mathematics

[2428] **viXra:1711.0230 [pdf]**
*submitted on 2017-11-07 01:47:43*

**Authors:** Mugur Grosu, Mircea Tuglea, Florentin Smarandache

**Comments:** 22 Pages.

Because I have, finally, before my eyes two significant works- your volume, Destiny
(published last year although it was written 20 years ago!) and a more special work, Outer-Art,
that we have to talk about without fail later on-, we can start interviewing you. At the beginning I
am asking you to make a short introducing of your “inventions” until now: paradoxism, outer-art,
etc. Could you place these proposed directions within a certain order of the vanguard currents?

**Category:** General Mathematics

[2427] **viXra:1711.0229 [pdf]**
*submitted on 2017-11-07 01:49:19*

**Authors:** Nadia Idri, Salah Osman, Florentin Smarandache

**Comments:** 4 Pages.

From the book: NonPoems, by Florentin Smarandache, Xiquan Publishing House,Phoenix, Chicago, 1991, 1992, 1993.

**Category:** General Mathematics

[2426] **viXra:1711.0228 [pdf]**
*submitted on 2017-11-07 01:50:28*

**Authors:** Sharif S. N. Bhuiyan, Florentin Smarandache

**Comments:** 7 Pages.

From the book: NonPoems, by Florentin Smarandache, Xiquan Publishing House, Phoenix, Chicago, 1991, 1992, 1993.

**Category:** General Mathematics

[2425] **viXra:1711.0227 [pdf]**
*submitted on 2017-11-07 01:51:44*

**Authors:** Albena Tchamova, Maria Nikolova, Florentin Smarandache

**Comments:** 9 Pages.

Парадоксизмът е авангардно движение в литературата, изкуството, философията, науката,
основано на използването на огромен брой антитези, парадокси, противоречия, притчи, несъгласия в произведенията.

**Category:** General Mathematics

[2424] **viXra:1711.0225 [pdf]**
*submitted on 2017-11-07 01:53:15*

**Authors:** Fu Yuhua, Florentin Smarandache

**Comments:** 4 Pages.

From the book: NonPoems, by Florentin Smarandache, Xiquan Publishing House,Phoenix, Chicago, 1991, 1992, 1993.

**Category:** General Mathematics

[2423] **viXra:1711.0224 [pdf]**
*submitted on 2017-11-07 01:54:09*

**Authors:** Florentin Smarandache

**Comments:** 5 Pages.

Shodovat se k Florentin Smarandache, paradoxism 1980 je teorie a škola paradoxů používání v literárním a uměleckém vytvoření. Stoupenci paradoxism věří, že to odhalí podstatné rozpory existence tím, že se zaměří na je, zatímco jiné avantgardní činnosti takový jak dadaism a surrealism dělají ne.

**Category:** General Mathematics

[2422] **viXra:1711.0223 [pdf]**
*submitted on 2017-11-07 01:55:51*

**Authors:** Henri Thijs, Florentin Smarandache

**Comments:** 9 Pages.

Het paradoxisme (een offici Nederlandse term
moet nog worden uitgevonden), is een avantgardistische beweging in de literatuur, de kunst, de filosofie en de wetenschap die is gebaseerd op het excessief gebruik van antithesen, antinomie contradicties,en paradoxen in de creaties. De stroming werd
al in 1980 opgericht en gepatroneerd door de schrijver Florentin Smarandache die zijn beweegredenen aldus omschrijft: Het doel is de verruiming van de artistieke sfeer door de incorporatie van niet-artistieke elementen en vooral door de creatie op experimentle wijze tegendraads en averechts te laten verlopen.

**Category:** General Mathematics

[2421] **viXra:1711.0222 [pdf]**
*submitted on 2017-11-07 01:57:27*

**Authors:** Charles Le, Florentin Smarandache

**Comments:** 8 Pages.

PARADOXISM is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antitheses, antinomies, contradictions, parables, paraphrases, odds, anti-clichés, deviations of senses, parodies of proverbs and aphorisms, against-the-grain speech, upside-down interpre-tations, nonsense, paradoxes, semiparadoxes in creations. Paradoxism tries to find common parts to apparently uncommon things in any human field.

**Category:** General Mathematics

[2420] **viXra:1711.0221 [pdf]**
*submitted on 2017-11-07 01:58:29*

**Authors:** J. M. Charrier, Florentin Smarandache

**Comments:** 6 Pages.

Le Paradoxisme est un mouvement d'avant-garde dans la littérature, l'art, la philosophie, la science appuyé sur l'excessive utilisation des antithèses, antinomies, contradictions, paraboles, déviations du sens, interpretations à l'envers des clichés, non-sens, paradoxes, semiparadoxes dans les créations.

**Category:** General Mathematics

[2419] **viXra:1711.0220 [pdf]**
*submitted on 2017-11-07 01:59:22*

**Authors:** Bernd Hutschenreuther, Martina Teichert, Florentin Smarandache

**Comments:** 9 Pages.

PARADOXISMUS ist eine literarische, künstlerische,
geistes- und naturwissenschaftliche Avantgarde-
Bewegung, die den exzessiven Einsatz von
Antithesen, Antinomien, Widersprüchen, Parabeln,
Wahrscheinlichkeiten und Paradoxien in Schöpfungen
zur Grundlage hat.

**Category:** General Mathematics

[2418] **viXra:1711.0219 [pdf]**
*submitted on 2017-11-07 02:00:44*

**Authors:** Θεοδώρα Μπλούση, Florentin Smarandache

**Comments:** 6 Pages.

Ο ΠΑΡΑΔΟΞΙΣΜΟΣ είναι ένα πρωτοποριακό κίνημα στη λογοτεχνία, την τέχνη, τη φιλοσοφία, την επιστήμη, με βάση τη δημιουργία με υπερβολική χρήση αντιθέσεων, αντονομίες, αντιφάσεων, παραβολών, αποδόσεων και παράδοξων ρημάτων.
Ιδρύθηκε και διευθύνεται από τον συγγραφέα Φλωρεντίν Σμαρανδάκε από το 1980, ο οποίος είπε:.. “Ο στόχος είναι η διεύρυνση της καλλιτεχνικής σφαίρας μέσω μη καλλιτεχνικών στοιχείων. Αλλά κυρίως η δημιουργία αντίθετων εννοίων, λογικής και χρόνου. Επίσης, για να πειραματιστεί."

**Category:** General Mathematics

[2417] **viXra:1711.0218 [pdf]**
*submitted on 2017-11-07 02:01:33*

**Authors:** Florentin Smarandache

**Comments:** 5 Pages.

A paradoxizmus a nyolcvanas évek román irodalmi és mûvészeti avantgárd mozgalma. Kommunista-ellenes szándékkal Florentin Smaran-dache, az amerikai disszidens író és matematikus hozta létre az irányzatot, mely az alkotásban nagymértékben az ellentételezésre, az antinó-miákra, az oximoronokra, az ellentmondásokra és a paradoxonokra alapoz.

**Category:** General Mathematics

[2416] **viXra:1711.0217 [pdf]**
*submitted on 2017-11-07 02:03:01*

**Authors:** V. Christianto, Florentin Smarandache

**Comments:** 9 Pages.

PARADOXISMe adalah suatu gerakan kontemporere (avant-garde) dalam sastra, seni, filsafat
dan ilmu, didasarkan pada penggunaan berlebihan
dari antithesis, antinomies, kontradiksi, parable,
kejanggalan, anti-klisé, deviasi-deviasi dari
pemikiran, melawan butiran pidato, ketidakmasukakalan, paradoks, dan semiparadoks dalam penciptaan-penciptaan.

**Category:** General Mathematics

[2415] **viXra:1711.0216 [pdf]**
*submitted on 2017-11-07 02:04:06*

**Authors:** Felice Russo, Florentin Smarandache

**Comments:** 9 Pages.

Il paradossismo e’ un movimento letterario e
artistico di avanguardia, come una protesta antitotalitaria, creata dallo scrittore Florentin Smarandache nel 1980, e basata sull’eccessivo uso delle antitesi, antinomie, contraddidizioni, paradossi durante la produzione.

**Category:** General Mathematics

[2414] **viXra:1711.0215 [pdf]**
*submitted on 2017-11-07 02:05:05*

**Authors:** Leonardo F. D. da Motta, Florentin Smarandache

**Comments:** 8 Pages.

"Paradoxismo" é um movimento de vanguarda da literatura, arte, filosofia, ciência, baseada no uso excessivo de antíteses, antinomias, contradições, parábolas, diferenças, paradoxos em criação. Foi criado e liderado pelo escritor Florentin Smarandache desde 1980, que disse: "O objetivo é alargar o legado artístico através de elementos não-artísticos. Mas especialmente o contratempo, contra-senso de criar. Também ao experimento."

**Category:** General Mathematics

[2413] **viXra:1711.0214 [pdf]**
*submitted on 2017-11-07 02:05:53*

**Authors:** Gheorghe Niculescu, Florentin Smarandache

**Comments:** 4 Pages.

Paradoxismul este o miscare internationala de avangarda in literatura, arta, filozofie, chiar si stiinta, bazata pe folosirea excesiva de antiteze, antinomii, contradictii, oximorone, parabole, paradoxuri in creatie.

**Category:** General Mathematics

[2412] **viXra:1711.0213 [pdf]**
*submitted on 2017-11-07 02:07:03*

**Authors:** Dmitri Rabounski, Florentin Smarandache

**Comments:** 10 Pages.

Парадоксизм — это передовое литературное и художественное движение, основанное как антитоталитарный протест писателем Флорентином Смарандаке в 1980-м году. Его основа —активное использование антитез, антиномий, противоречий и парадоксов в творчестве.

**Category:** General Mathematics

[2411] **viXra:1711.0212 [pdf]**
*submitted on 2017-11-07 02:07:54*

**Authors:** Sebastián Martín Ruiz, Florentin Smarandache

**Comments:** 8 Pages.

El Paradoxismo es un movimiento de vanguardia en literatura, arte, filosofía, ciencia, basado en el excesivo uso de antítesis, antinomias, contradicciones, parábolas, rarezas, y paradojas en la creación artística.

**Category:** General Mathematics

[2410] **viXra:1711.0211 [pdf]**
*submitted on 2017-11-07 02:08:48*

**Authors:** Kristina Staude, Florentin Smarandache

**Comments:** 8 Pages.

PARADOXISM är en avantgarderörelse inom
litteratur, konst, filosofi och vetenskap som är baserad på det omåttliga användandet av antiteser,
antinomier, motsägelser, parabler, tillfälligheter och paradoxer i skapelser.

**Category:** General Mathematics

[2409] **viXra:1711.0210 [pdf]**
*submitted on 2017-11-07 02:09:34*

**Authors:** Florentin Smarandache

**Comments:** 4 Pages.

“Outer-Art” is a movement set up as a protest against, or to ridicule, the random modern art which states that everything is… art! It was initiated by Florentin Smarandache, in 1990s, who ironically called for an upside-down artwork: to do art in a way it is not supposed to be done, i.e. to make art as ugly, as silly, as wrong as possible, and generally as impossible as possible!

**Category:** General Mathematics

[2408] **viXra:1711.0209 [pdf]**
*submitted on 2017-11-07 02:10:30*

**Authors:** Florentin Smarandache

**Comments:** 71 Pages.

“Outer-Art” is a movement set up as a protest against, or to ridicule, the random modern art which states that everything is… art! It was initiated by Florentin Smarandache, in 1990s, who ironically called for an upside-down artwork: to do art in a way it is not supposed to be done, i.e. to make art as ugly, as silly, as wrong as possible, and generally as impossible as possible!

**Category:** General Mathematics

[2407] **viXra:1711.0191 [pdf]**
*submitted on 2017-11-02 02:27:04*

**Authors:** Jean Dezert, Albena Tchamova, Pavlina Konstantinova, Erik Blasch

**Comments:** 8 Pages.

This paper presents a comparative analysis of performances of two types of multi-target tracking algorithms: 1)the Joint Probabilistic Data Association Filter (JPDAF), and 2) classical Kalman Filter based algorithms for multi-target tracking improved with Quality Assessment of Data Association (QADA) method using optimal data association. The evaluation
is based on Monte Carlo simulations for difficult maneuvering multiple-target tracking (MTT) problems in clutter.

**Category:** General Mathematics

[2406] **viXra:1711.0190 [pdf]**
*submitted on 2017-11-02 02:28:48*

**Authors:** Yilin Dong, Xinde Li, Jean Dezert

**Comments:** 8 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). This necessity occurs if one needs to embed the fusion result in a system
based on the probabilistic framework and Bayesian inference (e.g. tracking systems), or if one wants to use classical decision theory to make a decision.

**Category:** General Mathematics

[2405] **viXra:1711.0189 [pdf]**
*submitted on 2017-11-02 02:30:34*

**Authors:** Changrong Ye, Xiaoping Zeng, Guojun Li, Chenyuan Shi, Xin Jian, Xichuan Zhou

**Comments:** 11 Pages.

Sudden cardiac death (SCD) is one of the most prominent causes of death among patients with
cardiac diseases. Since ventricular arrhythmia is the main cause of SCD and it can be predicted by T wave alternans (TWA), the detection of TWA in the body-surface electrocardiograph (ECG) plays an important role in the prevention of SCD. But due to the multi-source nature of TWA, the nonlinear propagation through thorax, and the effects of the strong noises, the information from
different channels is uncertain and competitive with each other.

**Category:** General Mathematics

[2404] **viXra:1711.0188 [pdf]**
*submitted on 2017-11-02 02:32:29*

**Authors:** Hongfei Li, Jinran Wang, Hongbin Jin, Kangsheng Tian, Zhongliang Jing

**Comments:** 8 Pages.

A great deal of interest has been paid to computation problem of Dezert-Smarandache theory (DSmT). But there are still problems on complex analysis and frequently search. The computational measurement of DSmT is presented in which the computation is generated in the search for focal elements, the combination of focal elements and basic belief assignment, the expression of focal elements.

**Category:** General Mathematics

[2403] **viXra:1711.0187 [pdf]**
*submitted on 2017-11-02 02:33:42*

**Authors:** Yilin Dong, Xinde Li, Jean Dezert

**Comments:** 8 Pages.

The study of alternative probabilistic transformation (PT) in DS theory has emerged recently as an interesting topic, especially in decision making applications.

**Category:** General Mathematics

[2402] **viXra:1711.0186 [pdf]**
*submitted on 2017-11-02 02:35:00*

**Authors:** Deyun Zhou, Qian Pan, Gyan Chhipi-Shrestha, Xiaoyang Li, Kun Zhang, Kasun Hewage, Rehan Sadiq

**Comments:** 20 Pages.

Dempster-Shafer evidence theory has been widely used in various applications. However, to solve the problem of counter-intuitive outcomes by using classical Dempster-Shafer combination rule is still an open issue while fusing the conflicting evidences.

**Category:** General Mathematics

[2401] **viXra:1711.0185 [pdf]**
*submitted on 2017-11-02 02:36:05*

**Authors:** Bayanmunkh Odgere, Chang-Hoon Lee

**Comments:** 11 Pages.

Multiple evidences based decision making is an important functionality for computers and robots. To combine multiple evidences, mathematical theory of evidence has been developed, and it involves the most vital part called Dempster’s rule of combination. The rule is used for combining multiple evidences.

**Category:** General Mathematics

[2400] **viXra:1711.0184 [pdf]**
*submitted on 2017-11-02 02:37:38*

**Authors:** Wei He, Zhixiong Li, Reza Malekian, Xinglong Liu, Zhihe Duan

**Comments:** 15 Pages.

Automatic Identification System (AIS), as a major data source of navigational data, is widely used in the application of connected ships for the purpose of implementing maritime situation
awareness and evaluating maritime transportation.

**Category:** General Mathematics

[2399] **viXra:1711.0183 [pdf]**
*submitted on 2017-11-02 02:38:51*

**Authors:** Ruhuan Li, Deqiang Han, Jean Dezert, Yi Yang

**Comments:** 8 Pages.

Edge detection is one of the most important tasks in image processing and pattern recognition. Edge detector with multiple color channels can provide more edge information. However, the uncertainty occurring with the edge detection in each single channel and the discordance existing in the fusion
of multiple channels edge detectors make the detection difficult.

**Category:** General Mathematics

[2398] **viXra:1711.0182 [pdf]**
*submitted on 2017-11-02 02:40:06*

**Authors:** Jiankun Ding, Deqiang Han, Jean Dezert, Yi Yang

**Comments:** 6 Pages.

Dempster-Shafer theory (DST) is an important theory for information fusion. However, in DST how to determinate the basic belief assignment (BBA) is still an open issue. The interval number based BBA determination method is simple and effective, where the features of different classes’ samples are modeled using the interval numbers, i.e., an interval number model is constructed for each focal element.

**Category:** General Mathematics

[2397] **viXra:1711.0181 [pdf]**
*submitted on 2017-11-02 02:42:23*

**Authors:** Daiyong Zhang, Jia Li, Qing Wu, Xinglong Liu, Xiumin Chu, Wei He

**Comments:** 6 Pages.

The AIS broadcasts the ship’s navigation data
automatically and autonomously through VHF band. It plays an important role in collision avoidance and maritime situational awareness.

**Category:** General Mathematics

[2396] **viXra:1711.0180 [pdf]**
*submitted on 2017-11-02 02:43:45*

**Authors:** Pierpaolo D’Urso

**Comments:** 30 Pages.

Fifty years have gone by since the publication of the first paper on clustering based on fuzzy sets theory. In 1965, L.A. Zadeh had published “Fuzzy Sets”.

**Category:** General Mathematics

[2395] **viXra:1711.0179 [pdf]**
*submitted on 2017-11-02 02:47:08*

**Authors:** Shashank Govindaraj, Jeremi Gancet, Mark Post, Raul Dominguez, Fabrice Souvannavong, Simon Lacroix, Michal Smisek, Javier Hidalgo-Carrio, Bilal Wehbe, Alexander Fabisch

**Comments:** 8 Pages.

Fused sensory data provides decision-making processes with exploitable information about the external environment and a robot`s internal state.

**Category:** General Mathematics

[2394] **viXra:1711.0177 [pdf]**
*submitted on 2017-11-02 02:49:46*

**Authors:** Changrong Ye, Guojun Li, Yang Bao, Jinliang Qiao, Deping Zhang

**Comments:** 8 Pages.

T-Wave alternans (TWA) is a cardiac phenomenon
regarded as an index of high risk of sudden cardiac death (SCD). Although a number of methods have been proposed for TWA detection, their final decision always fully depends on one single lead which is usually picked out for its strongest TWA detection result among all the other leads.

**Category:** General Mathematics

[2393] **viXra:1711.0176 [pdf]**
*submitted on 2017-11-02 02:50:47*

**Authors:** A. Mohammad-Shahri, M. Khodabandeh

**Comments:** 10 Pages.

In this paper, target differentiation based on the pattern of data which are obtained by a set of two ultrasonic sensors is considered. A neural network based target classifier is applied to these data to categorize the data of each sensor.

**Category:** General Mathematics

[2392] **viXra:1711.0175 [pdf]**
*submitted on 2017-11-02 02:54:03*

**Authors:** C. Bavithra, M.K. Uma

**Comments:** 16 Pages.

The purpose of this paper is to introduce the concepts of intuitionistic Smarandache topological semigroups, intuitionistic Smarandache topological semigroup structure spaces, intuitionistic SG exteriors and intuitionistic SG semi exteriors.

**Category:** General Mathematics

[2391] **viXra:1711.0174 [pdf]**
*submitted on 2017-11-02 02:56:07*

**Authors:** Yasin Unluturk, Suha Yilmaz, Muradiye Cimdiker

**Comments:** 12 Pages.

In this work, first the differential equation characterizing position vector of spacelike curve is obtained in Lorentzian plane L2: Then the special curves mentioned above are studied in Lorentzian plane L2: Finally some characterizations of these special curves are given in L2.

**Category:** General Mathematics

[2390] **viXra:1711.0173 [pdf]**
*submitted on 2017-11-02 02:57:08*

**Authors:** Sebastián Martín Ruiz, Minh Perez

**Comments:** 9 Pages.

In this paper we present the definitions and some properties of several Smarandache type functions that are involved in many proposed solved and unsolved problems and conjectures in number theory and recreational mathematics. Examples are also provided. Interesting problems related to them are proposed as addenda to this article.

**Category:** General Mathematics

[2389] **viXra:1711.0172 [pdf]**
*submitted on 2017-11-02 02:58:11*

**Authors:** Leo G. Sapogin, V. A. Dzhanibekov, Yu. A. Ryabov

**Comments:** 38 Pages.

The present article discuss the problems of new Unitary Quantum Theory in its applications to the different aspects of the reality. There are spectacular examples of such applications.

**Category:** General Mathematics

[2388] **viXra:1711.0171 [pdf]**
*submitted on 2017-11-02 02:59:34*

**Authors:** Leo G. Sapogin, V. A. Dzhanibekov, Yu. A. Ryabov

**Comments:** 31 Pages.

The paper proposes a model of a unitary quantum field theory where the particle is represented as a wave packet. The frequency dispersion equation is chosen so that the packet periodically appears and disappears without changing its form. The envelope of the process is identified with a conventional wave function. Equation of such a field is nonlinear and relativistically invariant. With proper adjustments, they are reduced to Dirac,
Schroedinger and Hamilton-Jacobi equations. A number of new experimental effects are predicted both for high and low energies.

**Category:** General Mathematics

[2387] **viXra:1711.0170 [pdf]**
*submitted on 2017-11-02 03:17:33*

**Authors:** Shunqin Liu

**Comments:** 5 Pages.

According to different conditions, researchers have defined a great deal of coloring problems and the corresponding chromatic numbers. Such as, adjacent-vertex-distinguishing total chromatic number, adjacent-vertex-distinguishing proper edge
chromatic number, smarandachely-adjacent-vertex-distinguishing proper edge chromatic number,
smarandachely-adjacent-vertex-distinguishing proper total chromatic number.

**Category:** General Mathematics

[2386] **viXra:1711.0169 [pdf]**
*submitted on 2017-11-02 03:18:55*

**Authors:** Suleyman Senyurt, Yasin Altun, Ceyda Cevahir

**Comments:** 6 Pages.

In this paper, we investigated special Smarandache curves belonging to Sabban frame drawn on the surface of the sphere by Darboux vector of Mannheim partner curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to this curve. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the Mannheim curve.

**Category:** General Mathematics

[2385] **viXra:1711.0168 [pdf]**
*submitted on 2017-11-02 03:19:49*

**Authors:** Sun Shin Ahn, Young Joo Seo

**Comments:** 9 Pages.

The notions of a Smarandache fuzzy subalgebra (ideal) of a Smarandache BCI-algebra, a Smarandache fuzzy clean(fresh) ideal of a Smarandache BCI-algebra are introduced. Examples are given, and several related properties are investigated.

**Category:** General Mathematics

[2384] **viXra:1711.0166 [pdf]**
*submitted on 2017-11-02 03:23:35*

**Authors:** Gowri, R., Rajeswari, T.

**Comments:** 3 Pages.

The notion of fuzzy set was introduced by Zadeh.

**Category:** General Mathematics

[2383] **viXra:1711.0165 [pdf]**
*submitted on 2017-11-02 03:31:44*

**Authors:** Dwiraj Talukdar, Sisir Kumar Rajbongshi

**Comments:** 3 Pages.

The set of all mappings from a finite set
X into a closed interval [0,1] is the set of fuzzy sets denoted by F .

**Category:** General Mathematics

[2382] **viXra:1711.0164 [pdf]**
*submitted on 2017-11-02 03:34:55*

**Authors:** M. Hamidi, A. Borumand Saeid

**Comments:** 26 Pages.

This paper derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via strong equivalence relation. We show that any weak single-valued neutrosophic graph is a derived single-valued neutrosophic graph and any linear weak single-valued neutrosophic tree is an extendable linear single-valued neutrosophic tree.

**Category:** General Mathematics

[2381] **viXra:1711.0163 [pdf]**
*submitted on 2017-11-02 03:35:40*

**Authors:** Okpako Abugor Ejaita, Asagba P. O.

**Comments:** 7 Pages.

The two major motivations in medical science are to prevent and diagnose diseases. Diagnosis of disease must be done with care since it is the first stage of therapeutic actions towards eventual management of the disease; a mistake at this stage is disastrous and such adequate care must be ensured.

**Category:** General Mathematics

[2380] **viXra:1711.0162 [pdf]**
*submitted on 2017-11-02 03:37:00*

**Authors:** Ru-xia Liang, Jian-qiang Wang, Hong-yu Zhang

**Comments:** 16 Pages.

Single-valued trapezoidal neutrosophic numbers
(SVTNNs) have a strong capacity to depict uncertain, inconsistent, and incomplete information about decisio nmaking problems.

**Category:** General Mathematics

[2379] **viXra:1711.0161 [pdf]**
*submitted on 2017-11-02 03:38:21*

**Authors:** Daniel-Petru GHENCEA, Miron ZAPCIU, Claudiu-Florinel BISU, Elena-Iuliana BOTEANU, Elena-Luminiţa OLTEANU

**Comments:** 17 Pages.

Lucrarea propune un model de previziune a comportării arborelui principal din punct de vedere al deformaţiilor termice şi a nivelului vibraţiilor prin evidenţierea şi prelucrarea ecuaţiilor caracteristice.

**Category:** General Mathematics

[2378] **viXra:1711.0160 [pdf]**
*submitted on 2017-11-02 03:39:34*

**Authors:** Xianying Qi, Boqiang Liu, Jianwei Xu

**Comments:** 10 Pages.

Image indeterminacy has been neglected in most traditional filtering algorithms. This paper proposes a pixel-wise adaptive neutrosophic filter based on neutrosophic indeterminacy feature to remove high-level Salt-and-Pepper noise.

**Category:** General Mathematics

[2377] **viXra:1711.0158 [pdf]**
*submitted on 2017-11-02 03:41:42*

**Authors:** Muhammad Akram, Anam Luqman

**Comments:** 29 Pages.

Directed hypergraphs are widely used as a tool to solve and model the problems appearing in computer science and operations research. Bipolar neutrosophic models are more flexible and applicable because these models study neutrosophic
behavior positively as well as negatively.

**Category:** General Mathematics

[2376] **viXra:1711.0155 [pdf]**
*submitted on 2017-11-02 04:22:38*

**Authors:** P.Kumuthavalli, Sangeetha

**Comments:** 6 Pages.

In this paper one generalizes the classical
fuzzy and imprecise fuzzy to the notion of “neutrosophic fuzzy” in order to be able to queue model. In this paper, we focus on developing an neutrosophic probability which is a new problem solving queue operation in the real standard domain by implementing a novel term " intuitionistic fuzzy neutrosophic logic,".

**Category:** General Mathematics

[2375] **viXra:1711.0154 [pdf]**
*submitted on 2017-11-02 04:24:03*

**Authors:** Francisco Gallego Lupiáñez

**Comments:** 4 Pages.

In an earlier paper, we proved that Smarandache’s definition of neutrosophic paraconsistent topology is neither a generalization of Çoker’s intuitionistic fuzzy topology nor a generalization of Smarandache’s neutrosophic topology. Recently, Salama and Alblowi proposed a new definition of neutrosophic topology, that generalizes Çoker’s intuitionistic fuzzy topology. Here, we study this new definition and its relation to Smarandache’s paraconsistent neutrosophic sets.

**Category:** General Mathematics

[2374] **viXra:1711.0152 [pdf]**
*submitted on 2017-11-02 04:26:59*

**Authors:** Yanhui Guo, Abdulkadir Sengur

**Comments:** 8 Pages.

A skeleton provides a synthetic and thin representation of three dimensional objects, and is useful forshape description and recognition. In this paper, a novel 3D skeleton algorithm is proposed based onneutrosophic cost function.

**Category:** General Mathematics

[2373] **viXra:1711.0151 [pdf]**
*submitted on 2017-11-02 04:28:01*

**Authors:** Khalid M. Amin, A.I. Shahin, Yanhui Guo

**Comments:** 11 Pages.

A lot of studies confirmed the seriousness of breast cancer as the most tumors lethal to women worldwide.

**Category:** General Mathematics

[2372] **viXra:1711.0150 [pdf]**
*submitted on 2017-11-02 04:29:26*

**Authors:** Hong-yu Zhang, Pu Ji, Jian-qiang Wang, Xiao-hong Chen

**Comments:** 17 Pages.

Decision support models for satisfactory restaurants have attracted numerous researchers' attention. Many extant models do not consider the active, neutral and passive information in online reviews all at once.

**Category:** General Mathematics

[2371] **viXra:1711.0149 [pdf]**
*submitted on 2017-11-02 04:30:30*

**Authors:** Yanhui Guo, Abdulkadir Sengür

**Comments:** 3 Pages.

Neutrosophic set (NS) theory is a formal framework to study the origin, nature, and scope of the neutral state. In this paper, neutrosophic set is applied in image domain and a new directional a-mean operation is defined.

**Category:** General Mathematics

[2370] **viXra:1711.0148 [pdf]**
*submitted on 2017-11-02 04:31:25*

**Authors:** Yanhui Guo, Abdulkadir Sengür

**Comments:** 8 Pages.

Segmentation is an important research area in image processing, which has been used to extract objectsin images. A variety of algorithms have been proposed in this area. However, these methods perform wellon the images without noise, and their results on the noisy images are not good.

**Category:** General Mathematics

[2369] **viXra:1711.0147 [pdf]**
*submitted on 2017-11-02 04:32:57*

**Authors:** Yanhui Guo, Guo-Qing Du, Jing-Yi Xue, Rong Xia, Yu-hang Wang

**Comments:** 8 Pages.

Automatic delineation of the myocardium in echocardiography can assist radiologists
to diagnosis heart problems. However, it is still challenging to distinguish myocardium from other tissue due to a low signal-to-noise ratio, low contrast, vague boundary, and speckle noise. The purpose of this study is to automatically detect myocardium region in left ventricle myocardial contrast echocardiography (LVMCE) images to help radiologists’ diagnosis and further measurement on infarction size.

**Category:** General Mathematics

[2368] **viXra:1711.0145 [pdf]**
*submitted on 2017-11-02 04:35:11*

**Authors:** Zhi-Lian Guo, Yan-Ling Liu, Hai-Long Yang

**Comments:** 19 Pages.

In this paper, we extend the rough set model on two different universes in intuitionistic
fuzzy approximation spaces to a single-valued neutrosophic environment.

**Category:** General Mathematics

[2367] **viXra:1711.0144 [pdf]**
*submitted on 2017-11-02 04:36:19*

**Authors:** Yaozhong Luo, Longzhong Liu, Qinghua Huang, Xuelong Li

**Comments:** 19 Pages.

Ultrasound imaging has become one of the most popular medical imaging modalities with numerous diagnostic applications.However, ultrasound (US) image segmentation, which is the essential process for further analysis, is a challenging task due to the poor image quality.

**Category:** General Mathematics

[2366] **viXra:1711.0129 [pdf]**
*submitted on 2017-11-03 18:46:12*

**Authors:** Irene Galtung

**Comments:** 60 pages

My Mathematics Manuscript is 60 pages. It is necessary and sufficient to understand mathematics. If you figure out prime numbers, then you figure out the rest of mathematics.

**Category:** General Mathematics

[2365] **viXra:1711.0106 [pdf]**
*submitted on 2017-11-02 04:37:22*

**Authors:** Wen Jiang, Yehang Shou

**Comments:** 14 Pages.

The single-valued neutrosophic set is a subclass of neutrosophic set, and has been proposed in recent years. An important application for single-valued neutrosophic sets is to solve multicriteria decision-making problems.

**Category:** General Mathematics

[2364] **viXra:1711.0105 [pdf]**
*submitted on 2017-11-02 04:38:19*

**Authors:** Muhammad Akram, Muzzamal Sitara

**Comments:** 27 Pages.

In this research study, we present concept of intuitionistic neutrosophic graph structures.

**Category:** General Mathematics

[2363] **viXra:1711.0103 [pdf]**
*submitted on 2017-11-02 04:40:19*

**Authors:** A.Victor Devadoss, M.Rekha

**Comments:** 12 Pages.

The practices of child marriage is a violation of human rights and denies a child from basic right such as health, education and nutrition. It not only affects the girl’s lives but also the society.

**Category:** General Mathematics

[2362] **viXra:1711.0102 [pdf]**
*submitted on 2017-11-02 04:42:12*

**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

[2361] **viXra:1711.0101 [pdf]**
*submitted on 2017-11-02 04:43:14*

**Authors:** Deepika Koundal, Savita Gupta, Sukhwinder Singh

**Comments:** 12 Pages.

tAn accurate contour estimation plays a significant role in classification and estimation of shape, size, andposition of thyroid nodule. This helps to reduce the number of false positives, improves the accurate detec-tion and efficient diagnosis of thyroid nodules.

**Category:** General Mathematics

[2360] **viXra:1711.0100 [pdf]**
*submitted on 2017-11-02 04:44:37*

**Authors:** Changxing Fan, Jun Ye, Keli Hu, En Fan

**Comments:** 12 Pages.

Linguistic neutrosophic numbers (LNN) is presented by Fang and Ye in 2017, which can describe the truth, falsity, and indeterminacy linguistic information independently. In this paper, the LNN and the Bonferroni mean operator are merged together to propose a LNN normalized weighted Bonferroni mean (LNNNWBM) operator and a LNN normalized weighted geometric Bonferroni mean (LNNNWGBM) operator and the properties of these two operators are proved.

**Category:** General Mathematics

[2359] **viXra:1711.0099 [pdf]**
*submitted on 2017-11-02 04:47:38*

**Authors:** Muhammad Akram, Maryam Nasir

**Comments:** 26 Pages.

The concept of intuitionistic neutrosophic sets provides an additional possibility to represent
imprecise, uncertain, inconsistent and incomplete information, which exists in real situations. This research article first presents the notion of intuitionistic neutrosophic competition graphs.

**Category:** General Mathematics

[2358] **viXra:1711.0098 [pdf]**
*submitted on 2017-11-02 04:48:43*

**Authors:** N . Kondruk

**Comments:** 7 Pages.

One of the most interesting and promising approaches to the analysis of multivariate phenomena and processes are methods of cluster analysis or automatic classification of objects. Clustering is one of the key areas of data mining.
Its objective is identification of some unknown structure of a group of similar objects in the initial set.

**Category:** General Mathematics

[2357] **viXra:1711.0097 [pdf]**
*submitted on 2017-11-02 04:49:44*

**Authors:** Abdolreza Rashno, Saeed Sadri

**Comments:** 6 Pages.

In this paper, a new content-based image retrieval
(CBIR) scheme is proposed in neutrosophic (NS) domain. For this task, RGB images are first transformed to three subsets in NS domain and then segmented.

**Category:** General Mathematics

[2356] **viXra:1711.0096 [pdf]**
*submitted on 2017-11-02 04:50:27*

**Authors:** Jun Ye

**Comments:** 9 Pages.

Based on dynamic information collected from different time intervals in some real situations, this paper firstly proposes a dynamic single valued neutrosophic multiset (DSVNM) to express dynamic information and operational relations of DSVNMs.

**Category:** General Mathematics

[2355] **viXra:1711.0095 [pdf]**
*submitted on 2017-11-02 04:51:38*

**Authors:** Lilian Shi, Jun Ye

**Comments:** 10 Pages.

The linguistic neutrosophic numbers (LNNs) can express the truth, indeterminacy, and falsity degrees independently by three linguistic variables. Hence, they are an effective tool for
describing indeterminate linguistic information under linguistic decision-making environments.
Similarity measures are usual tools in decision-making problems.

**Category:** General Mathematics

[2354] **viXra:1711.0094 [pdf]**
*submitted on 2017-11-02 04:52:25*

**Authors:** Zhikang Lu, Jun Ye

**Comments:** 10 Pages.

The neutrosophic cubic set can contain much more information to express its interval neutrosophic numbers and single-valued neutrosophic numbers simultaneously in indeterminate environments.

**Category:** General Mathematics

[2353] **viXra:1711.0093 [pdf]**
*submitted on 2017-11-02 04:53:27*

**Authors:** A.Victor Devadoss, M.Rekha

**Comments:** 8 Pages.

Domestic violence is an abusive behaviour perpetrated by intimate partner and other members in the family. Traditionally women were expected to married soon and settle down in her life.

**Category:** General Mathematics

[2352] **viXra:1711.0091 [pdf]**
*submitted on 2017-11-02 04:55:00*

**Authors:** Srijit Biswas, Anjali Gupta

**Comments:** 7 Pages.

In almost all cities, the solid waste generation is increased dramatically and becomes a great challenge today to municipal authority for its
collection and safe disposal. Continuous uncontrolled generation of solid wastes forces the
existing landfills to become exhausted rapidly.

**Category:** General Mathematics

[2351] **viXra:1711.0090 [pdf]**
*submitted on 2017-11-02 04:55:47*

**Authors:** Weizhang Liang, Guoyan Zhao, Hao Wu

**Comments:** 18 Pages.

The investment in and development of mineral resources play an important role in the
national economy. A good mining project investment can improve economic efficiency and increase
social wealth.

**Category:** General Mathematics

[2350] **viXra:1711.0089 [pdf]**
*submitted on 2017-11-02 04:56:32*

**Authors:** Zhikang Lu, Jun Ye

**Comments:** 11 Pages.

As an extension of an intuitionistic fuzzy set, a single-valued neutrosophic set is described
independently by the membership functions of its truth, indeterminacy, and falsity, which is a subclass of a neutrosophic set (NS).

**Category:** General Mathematics

[2349] **viXra:1711.0088 [pdf]**
*submitted on 2017-11-02 04:57:38*

**Authors:** Jun Ye, Jiqian Chen, Rui Yong, Shigui Du

**Comments:** 13 Pages.

In nature, the mechanical properties of geological bodies are very complex, and its various mechanical parameters are vague, incomplete, imprecise, and indeterminate. In these cases, we cannot always compute or provide exact/crisp values for the joint roughness coefficient (JRC),which is a quite crucial parameter for determining the shear strength in rock mechanics, but we need to approximate them.

**Category:** General Mathematics

[2348] **viXra:1711.0087 [pdf]**
*submitted on 2017-11-02 04:58:43*

**Authors:** Jiqian Chen, Jun Ye, Shigui Du, Rui Yong

**Comments:** 7 Pages.

In nature, the mechanical properties of geological bodies are very complex, and their various mechanical parameters are vague, incomplete, imprecise, and indeterminate. However, we cannot express them by the crisp values in classical probability and statistics.

**Category:** General Mathematics

[2347] **viXra:1711.0086 [pdf]**
*submitted on 2017-11-02 04:59:41*

**Authors:** Hongjun Guan, Aiwu Zhao, Shuang Guan

**Comments:** 16 Pages.

Daily fluctuation trends of a stock market consist of three statuses like up, equal and down. It can be represented by a neutrosophic set which consists of three terms like the truth-membership, indeterminacy-membership and falsity-membership functions.

**Category:** General Mathematics

[2346] **viXra:1711.0084 [pdf]**
*submitted on 2017-11-02 05:02:52*

**Authors:** Adrian Rubio Solis, George Panoutsos

**Comments:** 12 Pages.

Granular computing is a computational paradigm that mimics human cognition in terms of grouping
similar information together.

**Category:** General Mathematics

[2345] **viXra:1711.0083 [pdf]**
*submitted on 2017-11-02 05:04:03*

**Authors:** Ke-Qin Wang, Hu-Chen Liu, Liping Liu, Jia Huang

**Comments:** 17 Pages.

Nowadays, companies have to improve their practices in the management of green supply
chain with increased awareness of environmental issues worldwide. Selecting the optimum green
supplier is crucial for green supply chain management, which is a challenging multi-criteria decision making (MCDM) problem.

**Category:** General Mathematics

[2344] **viXra:1711.0082 [pdf]**
*submitted on 2017-11-02 05:05:13*

**Authors:** HAN Lili, WEI Cuiping

**Comments:** 9 Pages.

Single valued neutrosophic set (SVNS) depicts not only the incomplete information, but also the indeterminate information and inconsistent information which exist commonly in belief systems.

**Category:** General Mathematics

[2343] **viXra:1711.0079 [pdf]**
*submitted on 2017-11-02 05:08:25*

**Authors:** Kanika Mandal, Kajla Basu

**Comments:** 10 Pages.

Minimum spanning tree finds its huge application in network designing, approximation algorithms for NP-hard problems, clustering problems and many more. Many research works have been done to find minimum spanning tree due to its various applications.

**Category:** General Mathematics

[2342] **viXra:1711.0078 [pdf]**
*submitted on 2017-11-02 05:09:26*

**Authors:** Soumitra De, Jaydev Mishra

**Comments:** 4 Pages.

Here, we have focused to process inconsistent
data through imprecise queries from a database which consists of neutrosophic and vague set.

**Category:** General Mathematics

[2341] **viXra:1711.0077 [pdf]**
*submitted on 2017-11-02 05:10:15*

**Authors:** Hong-yu Zhang, Jian-qiangWang, Xiao-hong Chen

**Comments:** 16 Pages.

As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain,
imprecise, incomplete, and inconsistent information existing in the real world.

**Category:** General Mathematics

[2340] **viXra:1711.0074 [pdf]**
*submitted on 2017-11-02 05:15:42*

**Authors:** Cengiz Kahraman, Mehdi Keshavarz Ghorabaee, Edmundas Kazimieras Zavadskas, Sezi Cevik Onar, Morteza Yazdani, Basar Oztaysi

**Comments:** 13 Pages.

Evaluation based on Distance from Average Solution (EDAS) is a new multicriteria decision making
(MCDM) method, which is based on the distances of alternatives from the average scores of attributes.

**Category:** General Mathematics

[2339] **viXra:1711.0073 [pdf]**
*submitted on 2017-11-02 05:17:04*

**Authors:** Yaman Akbulut, Abdulkadir Sengür, Yanhui Guo, Kemal Polat

**Comments:** 11 Pages.

Data clustering is an important step in data mining and machine learning. It is especially crucial to analyzethe data structures for further procedures.

**Category:** General Mathematics

[2338] **viXra:1711.0072 [pdf]**
*submitted on 2017-11-02 05:18:14*

**Authors:** Jun Ye

**Comments:** 11 Pages.

To describe both certain linguistic neutrosophic information and uncertain linguistic neutrosophic information simultaneously in the real world, this paper originally proposes the concept of a linguistic neutrosophic cubic number (LNCN), including an internal LNCN and external LNCN.

**Category:** General Mathematics

[2337] **viXra:1711.0071 [pdf]**
*submitted on 2017-11-02 05:19:08*

**Authors:** Bo Yua, Zheng Niua, Li Wang

**Comments:** 20 Pages.

Automation has been a hot issue in constructions extraction, but there has not yet been a universally accepted algorithm.

**Category:** General Mathematics

[2336] **viXra:1711.0070 [pdf]**
*submitted on 2017-11-02 05:20:52*

**Authors:** Chao Zhang, Deyu Li, Arun Kumar Sangaiah, Said Broumi

**Comments:** 20 Pages.

As a significant business activity, merger and acquisition (M&A) generally means transactions in which the ownership of companies, other business organizations or their operating units are transferred or combined.

**Category:** General Mathematics

[2335] **viXra:1711.0069 [pdf]**
*submitted on 2017-11-02 05:21:52*

**Authors:** M. Kavitha, P. Murugadas, S.Sriram

**Comments:** 20 Pages.

The aim of this article is to study the concept of unique solvability of max-min fuzzy neutrosophic soft matrix equation and strong regularity of fuzzy neutrosophic soft matrices over Fuzzy Neutrosophic Soft Algebra (FNSA).

**Category:** General Mathematics

[2334] **viXra:1711.0068 [pdf]**
*submitted on 2017-11-02 05:22:32*

**Authors:** Weijie Shen

**Comments:** 8 Pages.

With respect to single-valued neutrosophic multiple attribute decision making problems with completely unknown weight information, some operational laws of single-valued neutrosophic numbers, score function and accuracy function of single-valued neutrosophic numbers are introduced.

**Category:** General Mathematics

[2333] **viXra:1711.0067 [pdf]**
*submitted on 2017-11-02 05:23:40*

**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.

**Category:** General Mathematics

[2332] **viXra:1711.0066 [pdf]**
*submitted on 2017-11-02 05:25:06*

**Authors:** J. Mohan, V. Krishnaveni, Yanhui Guo

**Comments:** 13 Pages.

In this paper, a new filtering method is presented to remove the Rician noise from magnetic resonanceimages (MRI) acquired using single coil MRI acquisition system.

**Category:** General Mathematics

[2331] **viXra:1711.0064 [pdf]**
*submitted on 2017-11-02 05:26:56*

**Authors:** Zhang-peng Tian, Jing Wang, Hong-yu Zhang, Jian-qiang Wang

**Comments:** 17 Pages.

A simplified neutrosophic uncertain linguistic
set that integrates quantitative and qualitative evaluation can serve as an extension of both an uncertain linguistic variable and a simplified neutrosophic set.

**Category:** General Mathematics

[2330] **viXra:1711.0063 [pdf]**
*submitted on 2017-11-02 05:28:00*

**Authors:** Mridula Sarkar, Tapan Kumar Roy

**Comments:** 24 Pages.

This paper investigates multi–objective Neutrosophic Goal Optimization (NSGO) approach to optimize the cost of welding and deflection at the tip of a welded steel beam, while the maximum shear stress in the weld group, maximum bending stress in the beam, and buckling load of the beam have been considered as constraints.

**Category:** General Mathematics

[2329] **viXra:1711.0060 [pdf]**
*submitted on 2017-11-02 05:31:09*

**Authors:** Zebo Fang, Jun Ye

**Comments:** 12 Pages.

Existing intuitionistic linguistic variables can describe the linguistic information of both
the truth/membership and falsity/non-membership degrees, but it cannot represent the indeterminate
and inconsistent linguistic information.

**Category:** General Mathematics

[2328] **viXra:1711.0059 [pdf]**
*submitted on 2017-11-02 05:31:52*

**Authors:** Jun Ye

**Comments:** 12 Pages.

To deal with decision-making problems with
interval neutrosophic uncertain linguistic information, the paper proposes a multiple attribute group decision-making method under an interval neutrosophic uncertain linguistic
environment.

**Category:** General Mathematics

[2327] **viXra:1711.0058 [pdf]**
*submitted on 2017-11-02 05:32:32*

**Authors:** Soumitra De

**Comments:** 4 Pages.

We have introduced a concept using Neutrosophic logic to solve the problem. Any neutrosophic data is based on three members. Neutrosophic logic is been used to handle in deterministic part of a neutrosophic data. We have focused to solve the real problem of a patient.

**Category:** General Mathematics

[2326] **viXra:1711.0057 [pdf]**
*submitted on 2017-11-02 05:33:35*

**Authors:** Mohamed Abdel‑Basset, Mai Mohamed, Arun Kumar Sangaiah

**Comments:** 17 Pages.

The main objective of this research is to study
the integration of Analytic Hierarchy Process (AHP) into Delphi framework in neutrosophic environment and present a new technique for checking consistency and calculating consensus degree of expert’s opinions.

**Category:** General Mathematics

[2325] **viXra:1711.0056 [pdf]**
*submitted on 2017-11-02 05:34:40*

**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. This paper introduces an extension to fuzzy classifier: a neutrosophic classifier, which would utilize neutrosophic
logic for its working.

**Category:** General Mathematics

[2324] **viXra:1711.0055 [pdf]**
*submitted on 2017-11-02 05:36:29*

**Authors:** R.dhavaseelan, S. Jafari, Hanif Page

**Comments:** 7 Pages.

In this paper we introduce neutrosophic generalized alpha-contra-continuous function, neutrosophic strongly generalized In this paper we introduce neutrosophic generalized.

**Category:** General Mathematics

[2323] **viXra:1711.0054 [pdf]**
*submitted on 2017-11-02 05:37:42*

**Authors:** Samir Dey, Tapan Kumar Roy

**Comments:** 8 Pages.

This paper develops a multi-objective
Neutrosophic Goal Optimization technique for
optimizing the design of truss structure with multiple objectives subject to a specified set of constraints. In this optimum design formulation, the objective functions are weight and the deflection; the design variables are the cross-sections of the bar; the constraints are the stress in member.

**Category:** General Mathematics

[2322] **viXra:1711.0053 [pdf]**
*submitted on 2017-11-02 05:38:38*

**Authors:** Srijit Biswas, Sunita Bansal, Anjali Gupta

**Comments:** 8 Pages.

An earthquake is the perceptible shaking
of the surface of the Earth occurs without prior
warning to the society. The occurrence of an
earthquake in a populated area may cause
numerous casualties and injuries as well as
extensive damage to property [4-5].

**Category:** General Mathematics

[2321] **viXra:1711.0052 [pdf]**
*submitted on 2017-11-02 05:39:49*

**Authors:** V. Venkateswara Rao, Y. Srinivasa Rao

**Comments:** 10 Pages.

The purpose of this article is to extend some more topics of topology in neutrosophic topology. Eerily introduce neutrosophic topological space and open sets, closed sets, semi-open and semi closed sets, now in this manuscript we extend up to neutrosophic pre-open and pre-closed (NPO and NPC).

**Category:** General Mathematics

[2320] **viXra:1711.0050 [pdf]**
*submitted on 2017-11-02 05:42:06*

**Authors:** Keli Hu, En Fan, Jun Ye, Changxing Fan, Shigen Shen, Yuzhang Gu

**Comments:** 13 Pages.

Visual object tracking is a critical task in computer vision. Challenging things always exist when an object needs to be tracked. For instance, background clutter is one of the most challenging problems.

**Category:** General Mathematics

[2319] **viXra:1711.0049 [pdf]**
*submitted on 2017-11-02 05:43:43*

**Authors:** A. Borumand Saeid, Young Bae Jun

**Comments:** 11 Pages.

The concept of neutrosophic set (NS) developed by Smarandacheis a more general platform which extends the concepts of the classic set and fuzzy
set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set.

**Category:** General Mathematics

[2318] **viXra:1711.0048 [pdf]**
*submitted on 2017-11-02 05:44:40*

**Authors:** Young Bae Jun

**Comments:** 12 Pages.

The concept of neutrosophic set (NS) developed by Smarandache is a more general platform which extends the concepts of the classic set and fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set.

**Category:** General Mathematics

[2317] **viXra:1711.0047 [pdf]**
*submitted on 2017-11-02 05:45:46*

**Authors:** C. Antony Crispin Sweety, I. Arockiarani

**Comments:** 4 Pages.

In this paper we introduce a new type of neutrosophic topology and we investigate the topological structures neutrosophic rough sets. Further we examine the reflexivity and transitivity of neutrosophic rough sets and obtain some of its properties.

**Category:** General Mathematics

[2316] **viXra:1711.0045 [pdf]**
*submitted on 2017-11-02 05:54:17*

**Authors:** Ioan Constantin Dima, Mirela Teodorescu, Daniela Gîfu

**Comments:** 9 Pages.

The study highlights some communication instances of actual approach of human society
evolution in contrast with traditional communication. During the history of communication dates back to prehistory, with significant changes in communication technologies (media and appropriate
inscription tools) evolving in tandem with shifts in political and economic systems, and by extension, systems of power (Innis, 1951), communication can range from very subtle processes of exchange, to full conversations and mass communication.

**Category:** General Mathematics

[2315] **viXra:1711.0040 [pdf]**
*submitted on 2017-11-02 06:00:27*

**Authors:** Nasruddin Hassan, Ashraf Al-Quran

**Comments:** 12 Pages.

In this paper, we extend the notion of classical soft expert sets to possibility neutrosophic vague soft expert sets by applying the theory of soft expert sets.

**Category:** General Mathematics

[2314] **viXra:1711.0039 [pdf]**
*submitted on 2017-11-02 06:01:35*

**Authors:** Hong-gang Peng, Hong-yu Zhang, Jian-qiang Wang

**Comments:** 21 Pages.

This paper introduces probability multi-valued
neutrosophic sets (PMVNSs) based on multi-valued neutrosophic sets and probability distribution. PMVNS can serve as a reliable tool to depict uncertain, incomplete, inconsistent and hesitant decision-making information and reflect the distribution characteristics of all provided
evaluation values.

**Category:** General Mathematics

[2313] **viXra:1711.0038 [pdf]**
*submitted on 2017-11-02 06:02:35*

**Authors:** Jun Ye

**Comments:** 11 Pages.

Projection measure is one of important tools for handling decision-making problems.

**Category:** General Mathematics

[2312] **viXra:1711.0036 [pdf]**
*submitted on 2017-11-02 06:04:34*

**Authors:** Muhammad Akram, Muzzamal Sitara

**Comments:** 25 Pages.

In this research article, we apply the concept of interval-valued neutrosophic sets to graph
structures. We present the concept of interval-valued neutrosophic graph structures. We describe certain operations on interval-valued neutrosophic graph structures and elaborate them with appropriate examples. Further,we investigate some relevant properties of these operators. Moreover,we propose some open
problems on interval-valued neutrosophic line graph structures.

**Category:** General Mathematics

[2311] **viXra:1711.0035 [pdf]**
*submitted on 2017-11-02 06:05:27*

**Authors:** Jiqian Chen, Jun Ye, Shigui Du

**Comments:** 14 Pages.

In rock mechanics, the study of shear strength on the structural surface is crucial to evaluating the stability of engineering rock mass.

**Category:** General Mathematics

[2310] **viXra:1711.0033 [pdf]**
*submitted on 2017-11-02 06:06:25*

**Authors:** Abed Heshmati, Maryam Gholami, Abdolreza Rashno

**Comments:** 10 Pages.

The process of partitioning an image into some different meaningful regions with the homogeneous
characteristics is called the image segmentation which is a crucial task in image analysis.

**Category:** General Mathematics

[2309] **viXra:1711.0032 [pdf]**
*submitted on 2017-11-02 06:08:45*

**Authors:** Kazim Hanbaya, M.FatihTalu

**Comments:** 11 Pages.

This paper proposes a novel synthetic aperture radar(SAR)image segmentation algorithm based on the neutrosophic set(NS)and improved artificial bee colony(I-ABC) algorithm.

**Category:** General Mathematics

[2308] **viXra:1711.0031 [pdf]**
*submitted on 2017-11-02 06:09:52*

**Authors:** Sui-Zhi Luo, Peng-Fei Cheng, Jian-QiangWang, Yuan-Ji Huang

**Comments:** 21 Pages.

Project delivery system selection is an essential part of project management. In the process of choosing appropriate transaction model, many factors should be under consideration, such as the capability and experience of proprietors, project implementation risk, and so on. How to make their comprehensive evaluations and select the optimal delivery system?

**Category:** General Mathematics

[2307] **viXra:1711.0027 [pdf]**
*submitted on 2017-11-02 06:12:58*

**Authors:** M. Mullai, S. Broumi, A. Stephen

**Comments:** 9 Pages.

Normally, Minimal Spanning Tree algorithm is used to nd the shortest route in a network.
Neutrosophic set theory is used when incomplete, inconsistancy and indeterminacy occurs. In this paper, Bipolar Neutrosophic Numbers are used in Minimal Spanning Tree algorithm for finding the shortest path on a network when the distances are inconsistant and indeterminate and it is illustrated by a numerical example.

**Category:** General Mathematics

[2306] **viXra:1711.0026 [pdf]**
*submitted on 2017-11-02 06:14:22*

**Authors:** Jing Fu, Jun Ye

**Comments:** 10 Pages.

When a physician carries out the clinical survey of a patient with benign prostatic hyperplasia (BPH) symptoms to reach the initial evaluation/diagnosis of BPH, the existing initial
evaluation method of BPH based on the international prostate symptom score (I-PSS) usually uses the objective evaluation/diagnosis method with crisp values without considering fuzzy
information.

**Category:** General Mathematics

[2305] **viXra:1711.0025 [pdf]**
*submitted on 2017-11-02 06:15:14*

**Authors:** Zhikang Lu, Jun Ye

**Comments:** 12 Pages.

Single-valued neutrosophic numbers (SVNNs) can express incomplete, indeterminate, and
inconsistent information in the real world.

**Category:** General Mathematics

[2304] **viXra:1711.0022 [pdf]**
*submitted on 2017-11-02 06:18:28*

**Authors:** Ru-xin Nie, Jian-qiang Wang, Hong-yu Zhang

**Comments:** 20 Pages.

As one of the promising renewable energy resources, solar-wind energy has increasingly
become a regional engine in leading the economy and raising competitiveness.

**Category:** General Mathematics

[2303] **viXra:1711.0021 [pdf]**
*submitted on 2017-11-02 06:19:34*

**Authors:** Ruipu TAN, Wende ZHANG, Shengqun CHEN

**Comments:** 15 Pages.

This paper proposes a group decision making method based on entropy of neutrosophic linguistic sets and generalized single valued neutrosophic linguistic operators.

**Category:** General Mathematics

[2302] **viXra:1711.0020 [pdf]**
*submitted on 2017-11-02 06:20:22*

**Authors:** G. Divya, J. Malarvizhi

**Comments:** 6 Pages.

The concept of neutrosophic sets can be utilized as a Mathematical tool to deal with imprecise and unspecified information. The neutrosophic set is a generalization of fuzzy sets and intutionistic fuzzy sets which is applied in Graph theory. The neutrosophic fuzzy graph is used in the problems, where the relation between vertices and hence edges are indeterminate. In this paper complement of Neutrosophic fuzzy graph is introduced and few operations on Neutrosophic fuzzy graph (union, join) are also defined.

**Category:** General Mathematics

[2301] **viXra:1711.0019 [pdf]**
*submitted on 2017-11-02 06:21:20*

**Authors:** Jiqian Chen, Jun Ye

**Comments:** 11 Pages.

The Dombi operations of T-norm and T-conorm introduced by Dombi can have the advantage of good flexibility with the operational parameter. In existing studies, however, the Dombi
operations have so far not yet been used for neutrosophic sets.

**Category:** General Mathematics

[2300] **viXra:1711.0018 [pdf]**
*submitted on 2017-11-02 06:22:13*

**Authors:** Jun Ye

**Comments:** 7 Pages.

A simplified neutrosophic set is characterized by a truth-membership function, an indeterminacy-membership function, and a falsity-membership function, which is a subclass of the neutrosophic set and contains the concepts of an interval neutrosophic set and a single valued neutrosophic set.

**Category:** General Mathematics

[2299] **viXra:1711.0017 [pdf]**
*submitted on 2017-11-02 06:23:14*

**Authors:** Edmundas Kazimieras Zavadskas, Romualdas Bausys, Birute Juodagalviene, Inga Garnyte-Sapranaviciene

**Comments:** 14 Pages.

Traditionally, the real estate asset assessment is performed by experienced valuators, who take intoaccount its economic, social, physical and locational aspects. Nowadays, the construction industry isbecoming more and more influenced by the sustainability requirements.

**Category:** General Mathematics

[2298] **viXra:1711.0015 [pdf]**
*submitted on 2017-11-02 06:25:08*

**Authors:** A. Zubairu, A. A. Ibrahim

**Comments:** 11 Pages.

Network theory and its associated techniques has tremendous impact in vari-ous discipline and research, from computer, engineering, architecture, hu-manities, social science to system biology.

**Category:** General Mathematics

[2297] **viXra:1711.0014 [pdf]**
*submitted on 2017-11-02 06:26:09*

**Authors:** Soumitra De, Jaydev Mishra

**Comments:** 3 Pages.

Here we proposed a new approach which is based on Neutrosophic logic to help the patient by taking proper decision through pathological report based analysis.

**Category:** General Mathematics

[2296] **viXra:1711.0013 [pdf]**
*submitted on 2017-11-02 06:27:18*

**Authors:** Hua Ma, Zhigang Hu, Keqin Li, Hongyu Zhang

**Comments:** 20 Pages.

Cloud services consumers face a critical challenge in selecting trustworthy services from abundant
candidates, and facilitating these choices has become a critical issue in the uncertain cloud industry.

**Category:** General Mathematics

[2295] **viXra:1711.0012 [pdf]**
*submitted on 2017-11-02 06:28:07*

**Authors:** Jun Ye

**Comments:** 10 Pages.

Based on the combination of trapezoidal fuzzy
numbers and a single-valued neutrosophic set, this paper proposes a trapezoidal neutrosophic set, some operational rules, score and accuracy functions for trapezoidal neutrosophic numbers.

**Category:** General Mathematics

[2294] **viXra:1711.0011 [pdf]**
*submitted on 2017-11-02 06:29:05*

**Authors:** Jiqian Chen, Jun Ye, Shigui Du

**Comments:** 13 Pages.

A refined single-valued/interval neutrosophic set is very suitable for the expression and application of decision-making problems with both attributes and sub-attributes since it is
described by its refined truth, indeterminacy, and falsity degrees.

**Category:** General Mathematics

[2293] **viXra:1711.0010 [pdf]**
*submitted on 2017-11-02 06:30:48*

**Authors:** Tahir Mahmood, Jun Ye, Qaisar Khan

**Comments:** 20 Pages.

In this article we present three similarity measures between simplied neutrosophic hesitant fuzzy sets, which contain the concept of single
valued neutrosophic hesitant fuzzy sets and interval valued neutrosophic hesitant
fuzzy sets, based on the extension of Jaccard similarity measure, Dice similarity measure and Cosine similarity in the vector space.

**Category:** General Mathematics

[2292] **viXra:1711.0008 [pdf]**
*submitted on 2017-11-02 06:32:25*

**Authors:** K. Selvakumari, M. Ajitha Priyadharshini

**Comments:** 5 Pages.

The scope of this paper is to introduce a new concept of buying a car on the basis of choice parameter by using vikor method. Here octagonal fuzzy number plays a vital role for solving many decision making problem involving uncertainty.

**Category:** General Mathematics

[2291] **viXra:1711.0007 [pdf]**
*submitted on 2017-11-02 06:33:19*

**Authors:** E.V. Bogarova

**Comments:** 4 Pages.

Проведение капитального ремонта многоквартирных домов (КРМКД) за счет средств фонда КР, требует решения многих организационных и методических вопросов на основе самых современных достижений
математики и информационных технологий.

**Category:** General Mathematics

[2290] **viXra:1710.0330 [pdf]**
*submitted on 2017-10-30 08:02:35*

**Authors:** Edgar Valdebenito

**Comments:** 4 Pages.

This note presents some integrals involving pi

**Category:** General Mathematics

[2289] **viXra:1710.0329 [pdf]**
*submitted on 2017-10-30 08:05:19*

**Authors:** Edgar Valdebenito

**Comments:** 18 Pages.

This note presents some definite integrals

**Category:** General Mathematics

[2288] **viXra:1710.0327 [pdf]**
*submitted on 2017-10-30 10:25:25*

**Authors:** Réjean Labrie

**Comments:** 1 Page.

Résumé: Le postulat de Bertrand et la conjecture de Legendre sont deux cas particuliers d'une nouvelle
conjecture encore plus puissante sur les nombres premiers.
Abstract: Bertrand's postulate and Legendre's conjecture are two special cases of a new and more
powerful conjecture on prime numbers.

**Category:** General Mathematics

[2287] **viXra:1710.0221 [pdf]**
*submitted on 2017-10-19 07:26:39*

**Authors:** Edgar Valdebenito

**Comments:** 9 Pages.

This note presents some formulas for pi=3.141592...

**Category:** General Mathematics

[2286] **viXra:1710.0194 [pdf]**
*submitted on 2017-10-16 05:22:01*

**Authors:** Wilmer Ortiz Choez, Marcos Quinteros Cortázar, Shirley Huerta Cruz, Katiuska Rubira Carvache

**Comments:** 6 Pages.

Recently, neutrosophic cognitive maps and its
application in decision making have become a topic of great importance for researchers and practitioners alike. In this paper, a new model PEST analysis is presented based on neutrosophic cognitive maps static analysis. The proposed framework is composed of five activities, identifying PEST factors and
sub-factors, modelling interrelation among PEST
factors, calculate centrality measures, factor classification, and factors ranking. A case study developed in environment analysis for a vertical farming project was presented, ranking factor based in interrelation and incorporating indeterminacy in the analysis. Further works will concentrate extending the model for incorporating scenario analysis.

**Category:** General Mathematics

[2285] **viXra:1710.0193 [pdf]**
*submitted on 2017-10-16 05:23:34*

**Authors:** Evelyn Jazmín Henríquez Antepara, Oscar Omar Apolinario Arzube, Jorge Arturo Chicala Arroyave, Eduardo Antonio Alvarado Unamuno, Maikel Leyva Vazquez

**Comments:** 4 Pages.

Recently, neutrosophic sets and its application
to decision making have become a topic of significant im-portance 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

[2284] **viXra:1710.0192 [pdf]**
*submitted on 2017-10-16 05:24:39*

**Authors:** Yingcang Ma, Wanying Zhou, Qing Wan

**Comments:** 7 Pages.

Rough sets theory is a powerful tool to deal with uncertainty and incompleteness of knowledge in information systems. Wang et al. proposed single valued neutrosophic sets as an extension of intuitionistic fuzzy sets to deal with real-world problems. In this paper, we propose the covering-based rough single valued neutrosophic sets by combining covering-based rough sets and single valued neutrosophic sets.

**Category:** General Mathematics

[2283] **viXra:1710.0191 [pdf]**
*submitted on 2017-10-16 05:25:46*

**Authors:** Silvia Liliana Tejada Yepez

**Comments:** 5 Pages.

Neutrosophic sets and its application to decision support have become a topic of great importance for researchers and practitioners alike. In this paper, a new model for decision making in the selection of information system projects is presented based on single valued neutrosophic number (SVN-numbers) allowing the use of linguistic variables with multiples points of view from experts.

**Category:** General Mathematics

[2282] **viXra:1710.0190 [pdf]**
*submitted on 2017-10-16 05:26:53*

**Authors:** R. Anitha Cruz, F. Nirmala Irudayam

**Comments:** 14 Pages.

The P-union, P-intersection, P-OR and P-AND
of neutrosophic soft cubic sets are introduced and their related properties are investigated. We show that the Punion and the P-intersection of two internal neutrosophic soft cubic sets are also internal neutrosophic soft cubic sets.

**Category:** General Mathematics

[2281] **viXra:1710.0189 [pdf]**
*submitted on 2017-10-16 05:35:31*

**Authors:** Ronald Barriga Dias, Wilmer Ortiz Choez, Inelda Martillo Alcivar, Wilber Ortiz Aguilar

**Comments:** 6 Pages.

Software engineers are involved in complex decisions that require multiples viewpoints. A specific case is the requirement prioritization process. This process is used to decide which software requirement to develop in certain release from a group of candidate requirements. Criteria involved in this process can involve indeterminacy. In this paper a software requirement prioritization model is develop based SVN numbers. Finally, an illustrative example is presented in order to show the proposed model.

**Category:** General Mathematics

[2280] **viXra:1710.0188 [pdf]**
*submitted on 2017-10-16 05:36:23*

**Authors:** Pinaki Majumdar

**Comments:** 8 Pages.

The notion of entropy of single valued
neutrosophic sets (SVNS) was first introduced by
Majumdar and Samanta in [10]. In this paper some
problems with the earlier definition of entropy has been pointed out and a new modified definition of entropy for SVNS has been proposed.

**Category:** General Mathematics

[2279] **viXra:1710.0186 [pdf]**
*submitted on 2017-10-16 07:10:03*

**Authors:** Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri, Florentin Smarandache

**Comments:** 9 Pages.

The paper proposes a new technique for dealing
with multi-attribute decision making problems
through an extended TOPSIS method under neutrosophic cubic environment. Neutrosophic cubic set is the generalized form of cubic set and is the hybridization of a neutrosophic
set with an interval neutrosophic set. In this
study, we have defined some operation rules for neutrosophic cubic sets and proposed the Euclidean distance between neutrosophic cubic sets.

**Category:** General Mathematics

[2278] **viXra:1710.0185 [pdf]**
*submitted on 2017-10-16 07:11:01*

**Authors:** Sabu Sebastian, Florentin Smarandache

**Comments:** 5 Pages.

In this paper, we generalize the definition of
Neutrosophic sets and present a method for extending crisp functions on Neutrosophic sets and study some properties of such extended functions.

**Category:** General Mathematics

[2277] **viXra:1710.0184 [pdf]**
*submitted on 2017-10-16 07:12:13*

**Authors:** Surapati Pramanik, Rumi Roy, Tapan Kumar Roy, Florentin Smarandache

**Comments:** 8 Pages.

In this paper, we define correlation coefficient
measure between any two rough neutrosophic sets. We also prove some of its basic properties. We develop a new multiple attribute group decision making method based on the proposed correlation coefficient measure.

**Category:** General Mathematics

[2276] **viXra:1710.0183 [pdf]**
*submitted on 2017-10-16 07:13:21*

**Authors:** Xiaohong Zhang, Yingcang Ma, Florentin Smarandache

**Comments:** 6 Pages.

Neutrosophic set is a new mathematical tool
for handling problems involving imprecise, indeterminacy and inconsistent data. Pseudo-BCI algebra is a kind of non-classical logic algebra in close connection with various non-commutative fuzzy logics.

**Category:** General Mathematics

[2275] **viXra:1710.0182 [pdf]**
*submitted on 2017-10-16 07:15:08*

**Authors:** S. Broumi, A. Dey, A. Bakali, M. Talea, F. Smarandache, L. H. Son, D. Koley

**Comments:** 8 Pages.

In this paper, we propose a new concept named the uniform single valued neutrosophic graph. An illustrative example and some properties are examined. Next, we develop an algorithmic approach for computing the complement of the single valued neutrosophic graph. A numerical example is demonstrated for computing the complement of single valued neutrosophic graphs and uniform single valued neutrosophic graph.

**Category:** General Mathematics

[2274] **viXra:1710.0130 [pdf]**
*submitted on 2017-10-11 07:50:42*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

This note presents a definite integral

**Category:** General Mathematics

[2273] **viXra:1709.0289 [pdf]**
*submitted on 2017-09-19 04:47:04*

**Authors:** Abdelmajid Ben Hadj Salem

**Comments:** 94 Pages. In French.

This book concerns the tome III of the selected papers of the Senior Engineer Abdelmajid Ben Hadj Salem that contains papers about:
- the robust estimators,
- the coordinates Fuseaux in Tunisia,
- the problem of the movement of n body.

**Category:** General Mathematics

[2272] **viXra:1709.0205 [pdf]**
*submitted on 2017-09-14 02:17:17*

**Authors:** Mai Mohamed, Mohamed Abdel-Baset, Yongquan Zhou, Florentin Smarandache

**Comments:** 5 Pages.

The Critical Path Method (CPM) is one of several related techniques for planning and managing of complicated projects in real world applications. In many situations, the data obtained for decision makers are only approximate, which gives rise of neutrosophic critical path problem. In this paper, the proposed method has been made to find the critical path in network diagram, whose activity time uncertain. The vague parameters in the network are represented by triangular neutrosophic numbers, instead of crisp numbers. At the end of paper, two illustrative examples are provided to validate the proposed approach.

**Category:** General Mathematics

[2271] **viXra:1709.0203 [pdf]**
*submitted on 2017-09-14 02:20:17*

**Authors:** Selcuk Topal, Florentin Smarandache

**Comments:** 5 Pages.

The aim of this paper is to provide a contribution to Natural Logic and Neutrosophic Theory. This paper considers lattice structures built on noun phrases. Firstly, we present some
new negations of intersective adjectival phrases and their settheoretic semantics such as non-red non-cars and red non-cars. Secondly, a lattice structure is built on positive and negative nouns and their positive and negative intersective adjectival phrases. Thirdly, a richer lattice is obtained from previous one
by adding neutrosophic prefixes neut and anti to intersective adjectival phrases. Finally, the richest lattice is constructed via extending the previous lattice structures by private adjectives (fake, counterfeit). We call these lattice classes Neutrosophic Linguistic Lattices (NLL).

**Category:** General Mathematics

[2270] **viXra:1709.0202 [pdf]**
*submitted on 2017-09-14 02:22:15*

**Authors:** Yanhui Guo, Yaman Akbulut, Abdulkadir Sengür, Rong Xia, Florentin Smarandache

**Comments:** 25 Pages.

Segmentation is considered as an important step in image processing and computer vision applications, which divides an input image into various non-overlapping homogenous regions and helps to interpret the image more conveniently. This paper presents an efficient image segmentation algorithm using neutrosophic graph cut (NGC).

**Category:** General Mathematics

[2269] **viXra:1709.0201 [pdf]**
*submitted on 2017-09-14 02:23:40*

**Authors:** Yaman Akbulut, Abdulkadir Sengür, Yanhui Guo, Florentin Smarandache

**Comments:** 14 Pages.

Extreme learning machine (ELM) is known as a kind of single-hidden layer feedforward network (SLFN), and has obtained considerable attention within the machine learning community and achieved various real-world applications.

**Category:** General Mathematics

[2268] **viXra:1709.0199 [pdf]**
*submitted on 2017-09-14 02:26:24*

**Authors:** R. Dhavaseelan, S. Jafari, F. Smarandache

**Comments:** 4 Pages.

The concept of neutrosophic locally compact and neutrosophic compact open topology are introduced and some interesting propositions are discussed.

**Category:** General Mathematics

[2267] **viXra:1709.0197 [pdf]**
*submitted on 2017-09-14 02:29:13*

**Authors:** Said Broumi, Assia Bakali, Florentin Smarandache, Mohamed Talea, Mumtaz Ali, Ganeshsree Selvachandran

**Comments:** 6 Pages.

In this paper, we propose the complex neutrosophic soft set model, which is a hybrid of complex fuzzy sets, neutrosophic sets and soft sets. The basic set theoretic operations and some concepts related to the structure of this model are introduced, and illustrated. An example related to a decision making problem involving uncertain and subjective information is presented, to demonstrate the utility of this model.

**Category:** General Mathematics

[2266] **viXra:1709.0194 [pdf]**
*submitted on 2017-09-14 02:33:10*

**Authors:** Luige Vladareanu, Mihaiela Iliescu, Hongbo Wang, Feng Yongfei, Victor Vladareanu, Hongnian Yu, Florentin Smarandache

**Comments:** 6 Pages.

This paper presents relevant aspects of the idea ofusing the digital medicine in cancer, so that to shape a viable strategy for creating and implementing an interactive digital platform, NEO-VIP, that should be the basic support to design
the strategy for integration of basic, clinical and environmental research on neoplasia progression to cancer.

**Category:** General Mathematics

[2265] **viXra:1709.0193 [pdf]**
*submitted on 2017-09-14 02:34:45*

**Authors:** Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache

**Comments:** 7 Pages.

In this research paper, based on the notion of
generalized single valued neutrosophic graphs of type 1, we presented a new type of neutrosophic graphs called generalized bipolar neutrosophic graphs of type 1 (GBNG1) and presented a matrix representation for it and studied some properties of this new concept. The concept of GBNG1 is an extension of
generalized fuzzy graphs of type 1 (GFG1) and generalized single valued neutrosophic of type 1 (GSVNG1).

**Category:** General Mathematics

[2264] **viXra:1709.0191 [pdf]**
*submitted on 2017-09-14 02:37:44*

**Authors:** Victor Vlădăreanu, Florentin Smarandache, Luige Vlădăreanu

**Comments:** 6 Pages.

The paper presents the research undertaken for extending the functionality of a regular fuzzy multi-input decision support system through the application of basic neutrosophy principles. The application is designed and simulated using tools already available for the fuzzy implementation, adapted to the requirements of the neutrosophic extension. The results show an increase in the decision classification index, while improving the environmental accuracy of the considered model.

**Category:** General Mathematics

[2263] **viXra:1709.0187 [pdf]**
*submitted on 2017-09-14 02:43:58*

**Authors:** Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy, Florentin Smarandache

**Comments:** 13 Pages.

The notion of neutrosophic cubic set is originated from the hybridization of the concept of neutrosophic set and intervalvalued neutrosophic set. We define similarity measure for neutrosophic cubic sets and prove some of its basic properties.

**Category:** General Mathematics

[2262] **viXra:1709.0186 [pdf]**
*submitted on 2017-09-14 02:47:36*

**Authors:** Mai Mohamed, Mohamed Abdel-Baset, Abdel-Nasser, Florentin Smarandache

**Comments:** 19 Pages.

In this paper a solution procedure is proposed to solve neutrosophic linear fractional programming problem where the cost of objective function, the resources and the technologal coefficients are triangular neutrosophic numbers.

**Category:** General Mathematics

[2261] **viXra:1709.0185 [pdf]**
*submitted on 2017-09-14 02:49:07*

**Authors:** A. A. A. Agboola, B. Davvaz, F. Smarandache

**Comments:** 29 Pages.

The objective of this paper is to develop neutro-
sophic quadruple algebraic hyperstructures. Specically, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical
hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.

**Category:** General Mathematics

[2260] **viXra:1709.0184 [pdf]**
*submitted on 2017-09-14 02:50:24*

**Authors:** Yaman Akbulut, Abdulkadir Sengur, Yanhui Guo, Florentin Smarandache

**Comments:** 10 Pages.

k-nearest neighbors (k-NN), which is known to be a simple and efficient approach,is a non-parametric supervised classifier. It aims to determine the class label of an unknown sample by its k-nearest neighbors that are stored in a training set.

**Category:** General Mathematics

[2259] **viXra:1709.0183 [pdf]**
*submitted on 2017-09-14 02:51:42*

**Authors:** R. Dhavaseelan, M. Parimala, S. Jafari, F. Smarandache

**Comments:** 5 Pages.

In this paper, we introduce and investigate a new class of sets and functions between topological space called neutrosophic semi-supra open set and neutrosophic semi-supra open continuous functions respectively.

**Category:** General Mathematics

[2258] **viXra:1709.0181 [pdf]**
*submitted on 2017-09-14 02:57:32*

**Authors:** Florentin Smarandache, Nassim Abbas, Youcef Chibani, Bilal Hadjadji, Zayen Azzouz Omar

**Comments:** 4 Pages.

In this paper, we use PCR5 in order to fusion the
information of two sources providing subjective probabilities of an event A to occur in the following form: chance that A occurs, indeterminate chance of occurrence of A, chance that A does not occur.

**Category:** General Mathematics

[2257] **viXra:1709.0173 [pdf]**
*submitted on 2017-09-14 03:10:32*

**Authors:** Ali Hassan, Muhammad Aslam Malik, Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache

**Comments:** 55 Pages.

Neutrosophic theory has many applications in graph theory, bipolar single valued neutrosophic graphs (BSVNGs) is the generalization of fuzzy graphs and intuitionistic fuzzy graphs, SVNGs. In this paper we introduce some types of BSVNGs, such as subdivision BSVNGs, middle BSVNGs, total BSVNGs and bipolar single valued neutrosophic line graphs (BSVNLGs), also investigate the isomorphism, co weak isomorphism and weak isomorphism properties of subdivision BSVNGs, middle BSVNGs,total BSVNGs and BSVNLGs.

**Category:** General Mathematics

[2256] **viXra:1709.0172 [pdf]**
*submitted on 2017-09-14 03:11:54*

**Authors:** Nguyen Xuan Thao, Florentin Smarandache, Nguyen Van Dinh

**Comments:** 6 Pages.

Today, soft computing is a field that is used
a lot in solving real-world problems, such as problems in economics, finance, banking... With the aim to serve for solving the real problem, many new theories and/or tools which were proposed, improved to help soft computing
used more efficiently.

**Category:** General Mathematics

[2255] **viXra:1709.0170 [pdf]**
*submitted on 2017-09-14 03:12:55*

**Authors:** Florentin SMARANDACHE

**Comments:** 3 Pages.

În decembrie 2016 - ianuarie 2017, am întreprins o croazieră culturală și științifică în Arhipelagul Galápagos, Ecuador, în Oceanul Pacific,unde am vizitat șapte insule și insulițe: Mosquera,
Isabela, Fernandina, Santiago, Sombrero Chino,
Santa Cruz și Rabida, într-o croazieră cu vaporul
Golondrina.

**Category:** General Mathematics

[2254] **viXra:1709.0169 [pdf]**
*submitted on 2017-09-14 03:15:30*

**Authors:** W.B. Wasantha Kandasamy, Illanteral Kandasamy, Florentin Smrandache

**Comments:** 8 Pages.

The Collatz conjecture is an open conjecture in mathematics named so after Collatz who proposed it in 1937.

**Category:** General Mathematics

[2253] **viXra:1709.0168 [pdf]**
*submitted on 2017-09-14 03:20:18*

**Authors:** Mai Mohamed, Mohamed Abdel-Baset, Abdel-Nasser H. Zaied, Florentin Smarandache

**Comments:** 5 Pages.

Neutrosophic sets have been introduced as a generalization of crisp sets, fuzzy sets, and intuitionistic fuzzy sets to represent uncertain, inconsistent and incomplete information about real world problems. Elements of neutrosophic set are characterized by a truth-membership, falsity-membership and indeterminacy membership functions. For the first time, this paper attempts to introduce the mathematical representation of Program Evaluation and Review Technique (PERT) in neutrosophic environment. Here the elements of three-times estimates of PERT are considered as neutrosophic elements.

**Category:** General Mathematics

[2252] **viXra:1709.0163 [pdf]**
*submitted on 2017-09-13 13:20:05*

**Authors:** Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy

**Comments:** 17 Pages. The article is accepted for publicatgioin in New Trends in Neutrosophic Theory and Applications-Volume II, 2017

Classical TODIM (an acronym in Portuguese for Interactive Multi criteria Decision Making) method works on crisp numbers to solve multi-attribute group decision making problems. In this paper, we define TODIM method in bipolar neutrosophic set environment to handle multi-attribute group decision making problems, which means we combine the TODIM with bipolar neutrosophic number to deal with multi-attribute group decision making problems. We have proposed a new method for solving multi-attribute group decision making problems. Finally, we solve multi-attribute group decision making problem using our newly proposed TODIM method to show the applicability and effectiveness of the proposed method.

**Category:** General Mathematics

[2251] **viXra:1709.0031 [pdf]**
*submitted on 2017-09-04 06:23:26*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed about One Step Evolution Of Any Real Positive Number.

**Category:** General Mathematics

[2250] **viXra:1708.0419 [pdf]**
*submitted on 2017-08-28 08:22:53*

**Authors:** Edgar Valdebenito

**Comments:** 14 Pages.

This note presents some results on pi.

**Category:** General Mathematics

[2249] **viXra:1708.0418 [pdf]**
*submitted on 2017-08-28 08:28:05*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

In this note we give some double integrals involving pi^2 and pi^3.

**Category:** General Mathematics

[2248] **viXra:1708.0416 [pdf]**
*submitted on 2017-08-28 08:44:11*

**Authors:** Edgar Valdebenito

**Comments:** 2 Pages.

This note presents some infinite products involving pi.

**Category:** General Mathematics

[2247] **viXra:1708.0415 [pdf]**
*submitted on 2017-08-28 08:47:32*

**Authors:** Edgar Valdebenito

**Comments:** 13 Pages.

This note presents fifteen integrals and ten fractals.

**Category:** General Mathematics

[2246] **viXra:1708.0382 [pdf]**
*submitted on 2017-08-27 07:24:43*

**Authors:** Taha Sochi

**Comments:** 90 Pages.

This document contains the solutions of all exercises of my book: Tensor Calculus Made Simple.

**Category:** General Mathematics

[2245] **viXra:1708.0330 [pdf]**
*submitted on 2017-08-24 13:34:48*

**Authors:** David Njeru Kathuri

**Comments:** 52 Pages.

Burden of proof is the obligation on somebody presenting a new idea (a claim) to provide evidence to support its truth (a warrant). Once evidence has been presented, it is up to any opposing "side" to prove the evidence presented is not adequate.
The document is about solving the Division by Zero problem. This is done via scientifically analyzing what quantitative division really entails -After a scientific analysis, it yields a principal/law that states that division of any countable quantity cannot occur without movement. This principle helps in the solving of the Division by Zero problem.
It falls under Mathematical Analysis category and tries to distinguish the scope of limits involving zero and its inverse, that is, divisions by zero.

**Category:** General Mathematics

[2244] **viXra:1708.0240 [pdf]**
*submitted on 2017-08-20 07:40:04*

**Authors:** Koji KOBAYASHI

**Comments:** 3 Pages.

This paper describes about complexity of NP problems by using minimal circuit, and divide class P and NP.
Inputs of uniform circuit family that compute P problem have some symmetry that indicated curcit structure. To clarify this symmetry, we define “Minimal circuit” as subgraph of circuit which are necessary to compute subset of inputs. Minimal circuit divide problem to some symmetric partial problems.
The other hand, inputs of NTM that compute NP problem have extra implicit symmetry that indicated nondeterministic transition functions. To clarify this implicit symmetry, we define special DTM “Concrete DTM Di”which index i correspond to selection of nondeterministic transition functions. That is, NTM split many different asymmetry DTM Di and compute all Di in same time.
Consider Di and minimal circuit family, uniform circuit family N that solve NP problem have to include minimal circuit family that correspond to Di. These minimal circuit family have unique circuit gate and N must include these minimal circuit family and gates. Number of such minimal circuit is over polynomial size of input. Therefore, N is over polynomial size, and P is not NP.

**Category:** General Mathematics

[2243] **viXra:1708.0224 [pdf]**
*submitted on 2017-08-18 20:48:18*

**Authors:** Claude Michael Cassano

**Comments:** 2 Pages.

Elementary ordinary differential equations texts often present factorization of ordinary differential equations with constant coefficients by linear operators. The theorem, here, demonstrates that any Second Order Homogeneous Linear Ordinary Differential Equation with differentiable coefficients may be factored via two linear differential operators, by way of the reduction of order formula. Since the reduction of order formula applies at any order, this theorem may be generalized to any order.

**Category:** General Mathematics

[2242] **viXra:1708.0205 [pdf]**
*submitted on 2017-08-17 05:20:01*

**Authors:** Mohsen Soori, Behrooz Arezoo, Mohsen Habibi

**Comments:** 14 Pages.

Accuracy of produced parts in machining process is influenced by many errors such as tool deflection as well as geometrical deviations of machine tool structure. To increase accuracy
and productivity in part manufacturing, the errors are modelled by using mathematical concepts. This paper presents an application for the virtual machining systems to analyse accuracy in modelling of tool deflection error. A virtual machining system is used to create actual parts in
virtual environments. Then, a comparison for different methods of tool deflection error such as
cantilever beam model of the cutting tool, Finite Element Method (FEM) of the cutting tool and
workpiece and geometrical model of the cutting tool effects on the workpiece is presented to
show accuracy and reliability of the methods in prediction of milled surfaces. So, capabilities and difficulties of the methods in the error modelling are presented to increase accuracy and
efficiency in part manufacturing.

**Category:** General Mathematics

[2241] **viXra:1708.0102 [pdf]**
*submitted on 2017-08-09 13:30:28*

**Authors:** Edgar Valdebenito

**Comments:** 15 Pages.

This note presents some results related with fractals,polynomials and number pi.

**Category:** General Mathematics

[85] **viXra:1708.0240 [pdf]**
*replaced on 2017-10-01 12:50:17*

**Authors:** Koji KOBAYASHI

**Comments:** 5 Pages.

This paper describes about complexity of NP problems by using “Effective circuit” independency, and apply SAT problem.
Inputs of circuit family that compute P problem have some explicit symmetry that indicated circuit structure. To clarify this explict symmetry, we define “Effective circuit” as partial circuit which are necessary to compute target inputs. Effective circuit set divide problem to some symmetric partial problems.
The other hand, inputs of NTM that compute NP problem have extra implicit symmetry that indicated nondeterministic transition functions. To clarify this implicit symmetry, we define special DTM “Concrete DTM”which index i correspond to selection of nondeterministic transition functions. That is, NTM split many different asymmetry DTM and compute all DTM in same time.
Consider concrete DTM and effective circuit set, circuit family [SAT] that solve SAT problem have to include all effective circuit set [CVPi] that correspond to concrete DTM as Circuit Value Problem. [CVPi] have unique gate and [SAT] must include all [CVPi]. Number of [CVPi] is over polynomial size of input. Therefore, [SAT] is over polynomial size.

**Category:** General Mathematics

[84] **viXra:1708.0240 [pdf]**
*replaced on 2017-08-21 12:33:00*

**Authors:** Koji KOBAYASHI

**Comments:** 5 Pages.

This paper describes about complexity of NP problems by using
minimal circuit, and divide class P and NP.
Inputs of uniform circuit family that compute P problem have some symme-
try that indicated curcit structure. To clarify this symmetry, we define “Min-
imal circuit” as subgraph of circuit which are necessary to compute subset of
inputs. Minimal circuit divide problem to some symmetric partial problems.
The other hand, inputs of NTM that compute NP problem have extra im-
plicit symmetry that indicated nondeterministic transition functions. To clar-
ify this implicit symmetry, we define special DTM “Concrete DTM Di”which
index i correspond to selection of nondeterministic transition functions. That
is, NTM split many different asymmetry DTM Di and compute all Di in same
time.
Consider Di and minimal circuit family, uniform circuit family N that solve
NP problem have to include minimal circuit family that correspond to Di.
These minimal circuit family have unique circuit gate and N must include
these minimal circuit family and gates. Number of such minimal circuit is
over polynomial size of input. Therefore, N is over polynomial size, and P is
not NP.

**Category:** General Mathematics