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46

Nov 20, 2015
11/15

by
Broumi Said, Florentin Smarandache

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In this paper we study the concept of intuitionistic neutrosophic set of Bhowmik and Pal. We have introduced this concept in soft sets and def ned intuitionistic neutrosophic soft set. Some def nitions and operations have been introduced on intuitionistic neutrosophic soft set. Some properties of this concept have been established.

Topics: Soft sets, Neutrosophic set, Intuitionistic neutrosophic set, Intuitionistic neutrosophic soft set

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54

Nov 20, 2015
11/15

by
Zhiming Zhang, Chong Wu

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A single-valued neutrosophic set (SVNS) and an interval neutrosophic set (INS) are two instances of a neutrosophic set, which can efficiently deal with uncertain, imprecise, incomplete, and inconsistent information. In this paper, we develop a novel method for solving singlevalued neutrosophic multi-criteria decision making with incomplete weight information, in which the criterion values are given in the form of single-valued neutrosophic sets (SVNSs), and the information about criterion...

Topics: neutrosophic set, single-valued neutrosophic set (SVNS), interval neutrosophic set (INS)

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91

Nov 20, 2015
11/15

by
Haibin Wang, Florentin Smarandache, Yanqing Zhang, Rajshekhar Sunderraman

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Neutrosophic set is a part of neutrosophy which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic set is a powerful general formal framework that has been recently proposed. However, neutrosophic set needs to be specified from a technical point of view. To this effect, we define the settheoretic operators on an instance of neutrosophic set, we call it single valued neutrosophic set (SVNS). We provide various...

Topics: Neutrosophic set, single valued neutrosophic set, set-theoretic operator

69
69

Nov 20, 2015
11/15

by
Pranab Biswas, Surapati Pramanik, Bibhas C. Giri

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In this paper, we present multi-attribute decision-making problem with neutrosophic assessment. We assume that the information about attribute weights is incompletely known or completely unknown. The ratings of alternatives with respect to each attributes are considered as single-valued neutrosophic set to catch up imprecise or vague information. Neutrosophic set is characterized by three independent degrees namely truthmembership degree (T), indeterminacy-membership degree (I), and...

Topics: Neutrosophic set, Single-valued neutrosophic set, Grey relational analysis, Multi-attribute...

The Dezert-Smarandache Theory (DSmT) of plausible and paradoxist reasoning is a natural extension of the classical Dempster-Shafer Theory (DST) but includes fundamental differences with the DST. DSmT allows to formally combine any types of independent sources of information represented in term of belief functions, but is mainly focused on the fusion of uncertain, highly conflicting and imprecise quantitative or qualitative sources of evidence. DSmT is able to solve complex, static or dynamic...

Topics: Plausible and paradoxical reasoning, Data Fusion, Information fusion, Dezert-Smarandache Theory,...

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58

Nov 20, 2015
11/15

by
Jun Ye

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A single valued neutrosophic set (SVNS), which is the subclass of a neutrosophic set, can be considered as a powerful tool to express the indeterminate and inconsistent information in the process of decision making. Then, correlation is one of the most broadly applied indices in many fields and also an important measure in data analysis and classification, pattern recognition, decision making and so on. Therefore, we propose another form of correlation coefficient between SVNSs and establish a...

Topics: single valued neutrosophic set, decision-making approach

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136

Nov 20, 2015
11/15

by
Yanhui Guo, Abdulkadir Şengür

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Image segmentation is an important step in image processing and analysis, pattern recognition, and machine vision. A few of algorithms based on level set have been proposed for image segmentation in the last twenty years. However, these methods are time consuming, and sometime fail to extract the correct regions especially for noisy images. Recently, neutrosophic set (NS) theory has been applied to image processing for noisy images with indeterminant information. In this paper, a novel image...

Topics: Image segmentation, Neutrosophic set, Directional alpha-mean filter, Level set

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61

Nov 26, 2015
11/15

by
A. E. Amin

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In this paper, a new technique is used to an unsupervised learning image classification based on integration between neutrosophic sets and optimization linear programming.

Topics: Neutrosophic set, image classification

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121

Nov 20, 2015
11/15

by
Pranab Biswas, Surapati Pramanik, Bibhas C. Giri

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In this paper we investigate multi-attribute decision making problem with single-valued neutrosophic attribute values. Crisp values are inadequate to model real life situation due to imprecise information frequently used in decision making process. Neutrosophic set is one such tool that can handle these situations.

Topics: Neutrosophic set, Single-valued neutrosophic set, Grey relational analysis, Information Entropy

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64

Nov 24, 2015
11/15

by
Florentin Smarandache

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A T-norm is a function defined in fuzzy/neutrosophic set theory and fuzzy/neutrosophic logic to represent the “intersection” of two fuzzy/neutrosophic sets and the fuzzy/neutrosophic logical operator “and” respectively. Extended to the fusion theory the T-norm will be a substitute for the conjunctive rule.

Topics: fuzzy/neutrosophic set theory, fusion theory

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74

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The purpose of this paper is to present quality clay-brick selection approach based on multi-attribute decisionmaking with single valued neutrosophic grey relational analysis. Brick plays a significant role in construction field. So it is important to select quality clay-brick for construction based on suitable mathematical decision making tool.

Topics: Single-valued neutrosophic set, Grey relational analysis

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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.

Topics: Neutrosophic Set, Correlation Coefficient of Interval Neutrosophic Set, Weighted Correlation...

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79

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tIn this paper, a new filtering method is presented to remove the Rician noise from magnetic resonanceimages (MRI) acquired using single coil MRI acquisition system. This filter is based on nonlocal neutro-sophic set (NLNS) approach of Wiener filtering.

Topics: neutrosophic set, neutrosophy theory

74
74

Nov 20, 2015
11/15

by
Anjan Mukherjee, Mithun Datta, Florentin Smarandache

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In this paper we introduce the concept of interval valued neutrosophic soft topological space together with interval valued neutrosophic soft finer and interval valued neutrosophic soft coarser topology. We also define interval valued neutrosophic interior and closer of an interval valued neutrosophic soft set. Some theorems and examples are cites. Interval valued neutrosophic soft subspace topology are studied. Some examples and theorems regarding this concept are presented..

Topics: Soft set, interval valued neutrosophic set, interval valued neutrosophic soft set

118
118

Nov 13, 2015
11/15

by
Said Broumi , Florentin Smarandache

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In this paper, we firstly review the neutrosophic set, and then construct two new concepts called neutrosophic implication of type 1 and of type 2 for neutrosophic sets.

Topics: Neutrosophic Implication, Neutrosophic Set, N-norm, N-conorm

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49

Nov 13, 2015
11/15

by
Florentin Smarandache

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In this paper, we make a short history about: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, and elementary neutrosophic algebraic structures.

Topics: neutrosophic set, elementary neutrosophic algebraic structures, neutrosophic numerical components

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75

Nov 13, 2015
11/15

by
Said Broumi, Irfan Deli, Florentin Smarandache

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In this work, we present definition of neutrosophic parameterized (NP) soft set and its operations. Then we define NP-aggregation operator to form NP-soft decision making method which allows constructing more efficient decision processes. We also dive an example which shows that they can be successfully applied to problem that contain indeterminacy.

Topics: Soft set, neutrosophic set, neutrosophic soft set

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88

Nov 20, 2015
11/15

by
Shan Ye, Jun Ye

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This paper introduces the concept of a single valued neutrosophic multiset (SVNM) as a generalization of an intuitionistic fuzzy multiset (IFM) and some basic operational relations of SVNMs, and then proposes the Dice similarity measure and the weighted Dice similarity measure for SVNMs and investigates their properties. Finally, the Dice similarity measure is applied to a medical diagnosis problem with SVNM information. This diagnosis method can deal with the medical diagnosis problem with...

Topics: Single valued neutrosophic set, multiset, single valued neutrosophic multiset

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97

Nov 26, 2015
11/15

by
A.A.Salama, I.R.Sumathi, I. Arockiarani

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In this paper we introduce the concept of fuzzy neutrosophic product spaces and investigate some of their properties.

Topics: Fuzzy Neutrosophic set, Fuzzy Neutrosophic topological space, Fuzzy Neutrosophic product space

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97

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In this work, we introduce the concept of generalized interval neutrosophic soft set and study their operations. Finally, we present an application of generalized interval neutrosophic soft set in decision making problem.

Topics: Soft set, neutrosophic set, neutrosophic soft set, decision making

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66

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In this paper several distance and similarity measures of interval neutrosophic soft sets are introduced. The measures are examined based on the geometric model, the set theoretic approach and the matching function.Finally,we have successfully shown an application of this similarity measure of interval neutrosophic soft sets.

Topics: Distance, Similarity Measure, Neutrosophic set, Interval Neutrosohic sets, Interval Neutrosohic...

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64

Nov 18, 2015
11/15

by
Florentin Smarandache

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Thirty-three new definitions are presented, derived from neutrosophic set, neutrosophic probability, neutrosophic statistics, and neutrosophic logic. Each one is independent, short, with references and cross references like in a dictionary style.

Topics: Fuzzy set, fuzzy logic, neutrosophic logic, Neutrosophic set

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95

Nov 23, 2015
11/15

by
Irfan Deli, Said Broumi, Mumtaz Ali

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In this study, we introduce the concept of neutrosophic soft multi-set theory and study their properties and operations. Then, we give a decision making meth-ods for neutrosophic soft multi-set theory. Finally, an application of this method in decision making problems is presented.

Topics: Soft set, neutrosophic set, neutrosophic refined set, neutrosophic soft multi-set, decision making

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74

Nov 23, 2015
11/15

by
Faruk Karaaslan

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In this study, we firstly present definitions and properties in study of Maji on neutrosophic soft sets. We then give a few notes on his study.

Topics: Neutrosophic Set, Soft Set, Neutrosophic Soft Set

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111

Dec 2, 2015
12/15

by
Florentin Smarandache

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In this paper one generalizes the intuitionistic fuzzy set, paraconsistent set and intuitionistic set to the neutrosophic set.

Topics: Intuitionistic Fuzzy Set, neutrosophic set

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71

Nov 13, 2015
11/15

by
Said Broumi, Florentin Smarandache

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In this paper, the cosine similarity measure of neutrosophic refined (multi-) sets is proposed and its properties are studied. The concept of this cosine similarity measure of neutrosophic refined sets is the extension of improved cosine similarity measure of single valued neutrosophic. Finally, using this cosine similarity measure of neutrosophic refined set, the application of medical diagnosis is presented.

Topics: Neutrosophic set, neutrosophic refined set, cosine similarity measure

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146

Nov 23, 2015
11/15

by
Shawkat Alkhazaleh

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In 1993, Gau and Buehrer proposed the theory of vague sets as an extension of fuzzy set theory. Vague sets are regarded as a special case of context-dependent fuzzy sets. In 1995, Smarandache talked for the first time about neutrosophy, and he defined the neutrosophic set theory as a new mathematical tool for handling problems involving imprecise, indeterminacy, and inconsistent data. In this paper, we define the concept of a neutrosophic vague set as a combination of neutrosophic set and vague...

Topics: Vague set, Neutrosophy, Neutrosophic set, Neutrosophic vague set

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79

Nov 18, 2015
11/15

by
Haibin WANG, Florentin SMARANDACHE, Yanqing ZHANG, Rajshekhar SUNDERRAMAN

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Neutrosophic set is a part of neutrosophy which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic set is a powerful general formal framework that has been recently proposed. However, neutrosophic set needs to be specified from a technical point of view. To this effect, we define the set-theoretic operators on an instance of neutrosophic set, we call it single valued neutrosophic set (SVNS). We provide various...

Topics: neutrosophic set, single valued neutrosophic set, set-theoretic operator

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85

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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...

Topics: Neutrosophic Set, Matching Function, Hausdorff Distance, Similarity Measure

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103

Nov 18, 2015
11/15

by
Florentin SMARANDACHE

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In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Topics: Intuitionistic Fuzzy Set, Paraconsistent Set, Intuitionistic Set, Neutrosophic Set

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108

Nov 20, 2015
11/15

by
Said Broumi, Irfan Deli, Florentin Smarandache

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eye 108

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In this paper several distance and similarity measures of interval neutrosophic soft sets are introduced. The measures are examined based on the geometric model, the set theoretic approach and the matching function. Finally, we have successfully shown an application of this similarity measure of interval neutrosophic soft sets.

Topics: Distance, Similarity Measure, Neutrosophic set, Interval Neutrosohic sets, Interval Neutrosohic...

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83

Nov 24, 2015
11/15

by
Said Broumi , Florentin Smarandache

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In this paper, we firstly review the neutrosophic set, and then construct two new concepts called neutrosophic implication of type 1 and of type 2 for neutrosophic sets. Furthermore, some of their basic properties and some results associated with the two neutrosophic implications are proven.

Topics: Neutrosophic Implication, Neutrosophic Set, N-norm, N-conorm

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141

Nov 24, 2015
11/15

by
A.A.A. Agboola, B. Davvaz

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The objective of this paper is to introduce and study neutrosophic ideals of neutrosophic BCI-algebras. Elementary properties of neutrosophic ideals of neutrosophic BCI-algebras are presented.

Topics: BCI/BCK-algebra, Neutrosophic set, Neutrosophic BCI/BCK- algebra, Neutrosophic ideal

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98

Nov 24, 2015
11/15

by
Kalyan Mondal, Surapati Pramanik

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This paper presents multi-attribute decision making based on rough accuracy score function with rough neutrosophic attribute values. While the concept of neutrosophic sets is a powerful logic to handle indeterminate and inconsistent information, the theory of rough neutrosophic sets is also a powerful mathematical tool to deal with incompleteness. The rating of all alternatives is expressed with the upper and lower approximation operator and the pair of neutrosophic sets which are characterized...

Topics: Neutrosophic set, Rough neutrosophic set, Single-valued neutrosophic set

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82

Nov 20, 2015
11/15

by
Mamouni Dhar, Said Broumi, Florentin Smarandache

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In this article, we shall define the addition and multiplication of two neutrosophic fuzzy matrices. Thereafter, some properties of addition and multiplication of these matrices are also put forward.

Topics: Neutrosophic fuzzy matrice, Neutrosophic Set

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73

Dec 2, 2015
12/15

by
Jing Fu, Jun Ye

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

Topics: Simplified neutrosophic set, Single valued neutrosophic set

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59

Nov 24, 2015
11/15

by
Said Broumi, Florentin Smarandache

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In this paper we proposed a new distance and several similarity measures between interval neutrosophic sets.

Topics: Neutrosophic set, Interval neutrosohic set, Similarity measure

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60

Nov 26, 2015
11/15

by
Mohammad Reza Faraji, Xiaojun Qi

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Face recognition (FR) is a challenging task in biometrics due to various illuminations, poses, and possible noises. In this paper, we propose to apply a novel neutrosophic set (NS)-based preprocesssing method to simultaneously remove noise and enhance facial features in original face images.

Topics: Face recognition, neutrosophic set, kernel fisher linear discriminant analysis, linear ternary...

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69

Nov 16, 2015
11/15

by
Said Broumi, Florentin Smarandache

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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.

Topics: Neutrosophic Set, Correlation Coefficient of Interval Neutrosophic Set

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85

Nov 26, 2015
11/15

by
Jun Ye

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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.

Topics: Trapezoidal neutrosophic set, Score function, Accuracy function

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79

Nov 13, 2015
11/15

by
Said Broumi, Florentin Smarandache, Mamoni Dhar

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Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information. In this paper we develop an hybrid structure called rough neutrosophic sets and studied their properties.

Topics: Rough set, rough neutrosophic set

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74

Nov 20, 2015
11/15

by
Florentin Smarandache

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In this paper we give a geometric interpretation of the Neutrosophic Set using the Neutrosophic Cube. Distinctions between the neutrosophic set and intuitionistic fuzzy set are also presented.

Topics: Intuitionistic Fuzzy Set, Paraconsistent Set, Intuitionistic Set, Neutrosophic Set, Neutrosophic...

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68

Nov 18, 2015
11/15

by
Broumi Said, Florentin Smarandache

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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.

Topics: Soft sets, Neutrosophic set, Intuitionistic neutrosophic set, Intuitionistic neutrosophic soft set

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58

Nov 26, 2015
11/15

by
Partha Pratim DEY, Surapati PRAMANIK, Bibhas C. GIRI

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The objective of the paper is to present neutrosophic soft multi attribute group decision making based on grey relational analysis involving multiple decision makers.

Topics: Neutrosophic set, neutrosophic soft set, grey relational analysis

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54

Nov 24, 2015
11/15

by
Florentin Smarandache

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In this paper, we make a short history about: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, and elementary neutrosophic algebraic structures. Afterwards, their generalizations to refined neutrosophic set, respectively refined neutrosophic numerical and literal components, then refined neutrosophic numbers and refined neutrosophic algebraic structures

Topics: neutrosophic set, elementary neutrosophic algebraic structures

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67

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In this work, we present definition of neutrosophic parameterized (NP) soft set and its operations. Then we define NP-aggregation operator to form NP-soft decision making method which allows constructing more efficient decision processes. We also dive an example which shows that they can be successfully applied to problem that contain indeterminacy.

Topics: Soft set, neutrosophic set, neutrosophic soft set, neutrosophic parameterized soft set, aggregation...

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In this work, we present definition of interval valued neutrosophic parameterized (IVNP-)soft set and its operations. Then we define parameter reduction method for IVNP-soft set.We also give an example which shows that they can be successfully applied to problem that contains indeterminacy.

Topics: soft set, neutrosophic set, neutrosophic soft set.

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60

Nov 23, 2015
11/15

by
A. A. Salama, Florentin Smarandache, Valeri Kromov

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In this paper, we introduce and study the concept of "neutrosophic closed set "and "neutrosophic continuous function". Possible application to GIS topology rules are touched upon.

Topics: Neutrosophic Closed Set, Neutrosophic Set, Neutrosophic Topology

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Nov 23, 2015
11/15

by
Vasantha Kandasamy, Florentin Smarandache

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In this paper authors for the first time define a new notion called neutrosophic lattices. We define few properties related with them. Three types of neutrosophic lattices are defined and the special properties about these new class of lattices are discussed and developed. This paper is organised into three sections. First section introduces the concept of partially ordered neutrosophic set and neutrosophic lattices. Section two introduces different types of neutrosophic lattices and the final...

Topics: Neutrosophic set, neutrosophic lattices and neutrosophic partially ordered set

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124

Nov 23, 2015
11/15

by
A. A. Salama, Florentin Smarandache

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The purpose of this paper is to introduce new types of neutrosophic crisp sets with three types 1, 2, 3. After given the fundamental definitions and operations, we obtain several properties, and discussed the relationship between neutrosophic crisp sets and others. Also, we introduce and study the neutrosophic crisp point and neutrosophic crisp relations. Possible applications to database are touched upon.

Topics: Neutrosophic Set, Neutrosophic Crisp Sets, Neutrosophic Crisp Relations, Generalized Neutrosophic...