Artificial Intelligence

1310 Submissions

[7] viXra:1310.0040 [pdf] submitted on 2013-10-05 19:17:48

Connections Between Extenics and Refined Neutrosophic Logic

Authors: Florentin Smarandache
Comments: 9 Pages.

The aim of this presentation is to connect Extenics with new fields of research, i.e. fuzzy logic and neutrosophic logic. We show herein: - How Extenics is connected to the 3-Valued Neutrosophic Logic, - How Extenics is connected to the 4-Valued Neutrosophic Logic, - How Extenics is connected to the n-Valued Neutrosophic Logic, when contradictions occurs.
Category: Artificial Intelligence

[6] viXra:1310.0039 [pdf] submitted on 2013-10-05 19:25:24

New Operations on Intuitionistic Fuzzy Soft Set

Authors: Said Broumi, Pinaki Majumdar, Florentin Smarandache
Comments: 10 Pages.

In this paper, we have defined First Zadeh’s implication , First Zadeh’s intuitionistic fuzzy conjunction and intuitionistic fuzzy disjunction of two intuitionistic fuzzy soft sets and some their basic properties are studied with proofs@@ and examples.
Category: Artificial Intelligence

[5] viXra:1310.0038 [pdf] submitted on 2013-10-05 19:29:18

Intuitionistic Neutrosphic Soft Set Over Rings

Authors: Said Broumi, Florentin Smarandache
Comments: Pages.

S.Broumi and F.Smarandache introduced the concept of intuitionistic neutrosophic soft set, which is an extension to the soft set. In this paper we apply the concept of intuitionistic neutrosophic soft set to rings theory .The notion of intuitionistic neutrosophic soft rings is introduced and their basic properties are presented . Intersection, union, AND, and OR operations of intuitionistic neutrosophic soft rings are defined . Also ,we have defined the product of two intuitionistic neutrosophic soft set over Ring.
Category: Artificial Intelligence

[4] viXra:1310.0036 [pdf] submitted on 2013-10-05 19:49:13

Correlation Coefficient of Interval Neutrosophic Set

Authors: Said Broumi, Florentin Smarandache
Comments: 9 Pages.

In this paper we introduce for the first time the concept of correlation coefficients of interval valued neutrosophic set (INS for short). Respective numerical examples are presented.
Category: Artificial Intelligence

[3] viXra:1310.0035 [pdf] submitted on 2013-10-05 19:53:37

More on Intuitionistic Neutrosophic Soft Sets

Authors: Said Broumi, Florentin Smarandache
Comments: 14 Pages.

Intuitionistic Neutrosophic soft set theory proposed by S.Broumi and F. Samarandache [28 ], has been regarded as an effective mathematical tool to deal with uncertainties. In this paper new operations on intuitionistic neutrosophic soft sets have been introduced . Some results relating to the properties of these operations have been established. Moreover ,we illustrate their interconnections between each other.
Category: Artificial Intelligence

[2] viXra:1310.0032 [pdf] submitted on 2013-10-05 21:25:30

Several Similarity Measures of Neutrosophic Sets

Authors: Said Broumi, Florentin Smarandache
Comments: 11 Pages.

Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets. We will present a method to calculate the distance between neutrosophic sets (NS) on the basis of the Hausdorff distance. Then we will use this distance to generate a new similarity measure to calculate the degree of similarity between NS. Finally we will prove some properties of the proposed similarity measures.
Category: Artificial Intelligence

[1] viXra:1310.0029 [pdf] submitted on 2013-10-05 21:41:20

Intuitionistic Neutrosophic Soft Set

Authors: Said Broumi, Florentin Smarandache
Comments: 11 Pages.

In this paper we study the concept of intuitionistic neutrosophic set of Bhowmik and Pal. We have introduced this concept in soft sets and defined intuitionistic neutrosophic soft set. Some definitions and operations have been introduced on intuitionistic neutrosophic soft set. Some properties of this concept have been established.
Category: Artificial Intelligence