Journal ArticleDOI
New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making
Chun-fang Liu,Yue-Sheng Luo +1 more
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TLDR
An approach to multi-attribute decision making within the framework of SVNHFS is developed by the proposed aggregation operators and a practical application shows that the approach is reasonable and effective in dealing with uncertain decision-making problems.Abstract:
The single-valued neutrosophic hesitant fuzzy set (SVNHFS) is a combination of single-valued neutrosophic set and hesitant fuzzy set that is designed for some incomplete, uncertain and inconsistent situations in which each element has a few different values designed by truth membership hesitant function, indeterminacy membership hesitant function and falsity membership hesitant function. In this paper, we define the score function, accuracy function and certainty function of SVNHFS and give the laws to compare the SVNHFS. Then, we propose the single-valued neutrosophic hesitant fuzzy ordered weighted averaging operator and the single-valued neutrosophic hesitant fuzzy hybrid weighted averaging operator and study the properties of the operators. Furthermore, an approach to multi-attribute decision making within the framework of SVNHFS is developed by the proposed aggregation operators. Finally, a practical application of the developed approach is given, and the result shows that our approach is reasonable and effective in dealing with uncertain decision-making problems.read more
Citations
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Journal ArticleDOI
Generalization of Maximizing Deviation and TOPSIS Method for MADM in Simplified Neutrosophic Hesitant Fuzzy Environment
TL;DR: This paper proposes a decision-making approach based on the maximizing deviation method and TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) to solve the MADM problems, in which the attribute weight information is incomplete, and the decision information is expressed in simplified neutrosophic hesitant fuzzy elements.
Posted ContentDOI
Single-objective linear goal programming problem with neutrosophic numbers
Durga Banerjee,Surapati Pramanik +1 more
TL;DR: In this paper, the coefficients of objective function and the constraints are considered as neutrosophic numbers of the form (p + qI), where p, q are real numbers and I denotes indeterminacy.
Journal ArticleDOI
Comprehensive Evaluation of Non-waste Cities Based on Two-Tuple Mixed Correlation Degree
Congjun Rao,Yawen He,Xiaolu Wang +2 more
TL;DR: A new evaluation index system for “non-waste cities” is established, a multi-source, heterogeneous and multi-attribute decision-making method based on two-tuple mixed correlation degree (TTMCD-MSHMADM) is proposed, and an empirical analysis is made for the 39 cities in the Yangtze River Economic Zone.
Journal ArticleDOI
Single-Valued Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators for Multi-Attribute Decision Making
Xin Li,Xiaohong Zhang +1 more
TL;DR: In this paper, two aggregation operators based on the Choquet integral, namely, the single-valued neutrosophic hesitant fuzzy Choquet ordered averaging (SVNHFCOA) operator and the singlevalued neutralized hesitant fuzzy (SSNHFCOG) operator, were proposed for multi-attribute decision making.
Book ChapterDOI
A State-of-the-Art Review of Neutrosophic Sets and Theory
Irem Otay,Cengiz Kahraman +1 more
TL;DR: This chapter aims at classifying all these publications and to exhibiting the place of neutrosophic sets and logic in the literature, which is the most comprehensive and updated review on neutrosophile sets.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Journal ArticleDOI
Hesitant fuzzy sets
TL;DR: It is proved that the envelope of the hesitant fuzzy sets is an intuitionistic fuzzy set, and it is proved also that the operations proposed are consistent with the ones of intuitionist fuzzy sets when applied to the envelope.
Posted Content
Single Valued Neutrosophic Sets
TL;DR: This work defines the settheoretic operators on an instance of neutrosophic set, and provides various properties of SVNS, which are connected to the operations and relations over SVNS.
Journal ArticleDOI
Hesitant fuzzy information aggregation in decision making
Meimei Xia,Zeshui Xu +1 more
TL;DR: The relationship between intutionistic fuzzy set and hesitant fuzzy set is discussed, based on which some operations and aggregation operators for hesitant fuzzy elements are developed and their application in solving decision making problems is given.