On some similarity measures and entropy on quadripartitioned single valued neutrosophic sets

Chatterjee, Rajashi; Majumdar, Parthasarathi; Samanta, Sourav

doi:10.3233/ifs-152017

Cited by 50 publications

(26 citation statements)

References 10 publications

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“…Gradually research develops based on the single valued neutrosophic set theory. In 2016, R. Chatterjee et al introduced the quadripartitioned neutrosophic set and studied its properties in their paper [5].…”

Section: Preliminariesmentioning

confidence: 99%

“…On the other hand, another extension of single valued neutrosophic sets, i.e. quadripartitioned single valued neutrosophic set was introduced by R. Chatterjee et al [5] in 2016. It is four valued logic set A consisting truthmembership T A , a contradiction membership C A , an ignorance-membership U A and a falsity membership F A for each x ∈ X.…”

Section: Introductionmentioning

confidence: 99%

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Bipolar quadripartitioned single valued neutrosophic sets

Sinha¹,

Majumdar²

2020

Proyecciones (Antofagasta)

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The notion of simple bipolar quadripartition is presented valuable neutrosophic set. Some basic set theoretic terminologies, operations and properties of bipolar quadripartitioned single valued neutrosophic set are given here. Also different types of distances, similarity measures and entropy measure are discussed. Finally a decision making problem using the similarity measure technique of bipolar quadripartitioned single valued neutrosophic sets has been solved.

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Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bipolar quadripartitioned single valued neutrosophic sets

Sinha¹,

Majumdar²

2020

Proyecciones (Antofagasta)

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“…Moreover, interval neutrosophic sets (INSs) [14], as a particular extension of an NS, have also been proposed. Subsequently, various aspects of SVNSs and INSs have been studied by more and more scholars and experts [15][16][17][18][19][20][21][22][23]. Ye [24] presented correlation and weighted correlation coefficients of SVNSs.…”

Section: Introductionmentioning

confidence: 99%

Induced Choquet Integral Aggregation Operators with Single‐Valued Neutrosophic Uncertain Linguistic Numbers and Their Application in Multiple Attribute Group Decision‐Making

Zhao

Wang

Liang

et al. 2019

Mathematical Problems in Engineering

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For real decision-making problems, aggregating the attributes which have interactive or correlated characteristics by traditional aggregation operators is unsuitable. Thus, applying Choquet integral operator to approximate and simulate human subjective decision-making process, in which independence among the input arguments is not necessarily assumed, would be suitable. Moreover, using single-valued neutrosophic uncertain linguistic sets (SVNULSs) can express the indeterminate, inconsistent, and incomplete information better than FSs and IFSs. In this paper, we studied the MAGDM problems with SVNULSs and proposed two single-valued neutrosophic uncertain linguistic Choquet integrate aggregation operators where the interactions phenomena among the attributes or the experts are considered. First, the definition, operational rules, and comparison method of single-valued neutrosophic uncertain linguistic numbers (SVNULNs) are introduced briefly. Second, induced single-valued neutrosophic uncertain linguistic Choquet ordered averaging (I-SVNULCA) operator and induced single-valued neutrosophic uncertain linguistic Choquet geometric (I-SVNULCG) operator are presented. Moreover, a few of its properties are discussed. Further, the procedure and algorithm of MAGDM based on the above single-valued neutrosophic uncertain linguistic Choquet integral operator are proposed. Finally, in the illustrative example, the practicality and effectiveness of the proposed method would be demonstrated.

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“…Considering that SVNS may not be able to accurately describe the truth-membership, indeterminacy-membership and falsity-membership of things in real life, Wang [25] further defined interval NS (INS). After that, although it also defined simplified NS [26], multi-valued NS [27], quadripartitioned SVNS [28], complex NS [29] and others, INS can describe the MADM information and evaluate the impact of each attribute on the decision-making results through some corresponding methods very well. These methods include TODIM [7,[30][31][32][33], TOPSIS [22,[34][35][36][37][38], VIKOR [39], EDAS(Evaluation Based on Distance from Average Solution) [40], PROMETHEE [41], ELECTRE [42] and so on.…”

Section: Introductionmentioning

confidence: 99%

Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital

Hong

Xiang

et al. 2019

Mathematics

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Fuzzy information in venture capital can be well expressed by neutrosophic numbers, and TODIM method is an effective tool for multi-attribute decision-making. The distance measure is an essential step in TODIM method. The keystone of this paper is to define several new distance measures, in particular the improved interval neutrosophic Euclidean distance, and these measures are applied in the TODIM method for multi-attribute decision-making. Firstly, the normalized generalized interval neutrosophic Hausdorff distance is defined and proved to be valid in this paper. Secondly, we define a weighted parameter interval neutrosophic distance and discuss whether different weight parameters affect the decision result based on TODIM method. Thirdly, considering the preference perspective of decision-makers in behavioral economics, we define the improved interval neutrosophic Euclidean distance with the known parameter of risk preference. Finally, an application example is given to compare the effects of different parameters on the result and discuss the feasibility of these two distance measures in TODIM method.

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On some similarity measures and entropy on quadripartitioned single valued neutrosophic sets

Cited by 50 publications

References 10 publications

Bipolar quadripartitioned single valued neutrosophic sets

Bipolar quadripartitioned single valued neutrosophic sets

Induced Choquet Integral Aggregation Operators with Single‐Valued Neutrosophic Uncertain Linguistic Numbers and Their Application in Multiple Attribute Group Decision‐Making

Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital

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