Journal ArticleDOI
Distance and similarity measures for higher order hesitant fuzzy sets
TLDR
HOHFS is the actual extension of HFS that enables us to define the membership of a given element in terms of several possible generalized type of fuzzy sets (G-Type FSs).Abstract:
In this study, we extend the hesitant fuzzy set (HFS) to its higher order type and refer to it as the higher order hesitant fuzzy set (HOHFS). HOHFS is the actual extension of HFS that enables us to define the membership of a given element in terms of several possible generalized type of fuzzy sets (G-Type FSs). The rationale behind HOHFS can be seen in the case that the decision makers are not satisfied by providing exact values for the membership degrees and therefore the HFS is not applicable. However, in order to indicate HOHFSs have a good performance in decision making, we first introduce some information measures for HOHFSs and then apply them to multiple attribute decision making with higher order hesitant fuzzy information.read more
Citations
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Journal ArticleDOI
A position and perspective analysis of hesitant fuzzy sets on information fusion in decision making. Towards high quality progress
Rosa M. Rodríguez,Benjamin Bedregal,Humberto Bustince,Yucheng Dong,Bahram Farhadinia,Cengiz Kahraman,Luis Martínez,Vicenç Torra,Yejun Xu,Zeshui Xu,Francisco Herrera +10 more
TL;DR: This position paper studies the necessity of hesitant fuzzy sets and provides a discussion about current proposals including a guideline that the proposals should follow and some challenges of HFSs.
Journal ArticleDOI
Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems
TL;DR: Multi-valued neutrosophic sets (MVNSs) are introduced, which allow the truth-membership, indeterminacy- membership and falsity- membership degree to have a set of crisp values between zero and one, respectively.
Journal ArticleDOI
Decision Making with Uncertainty Using Hesitant Fuzzy Sets
TL;DR: This paper proposes to extend COMET using hesitant fuzzy set (HFS) theory, a powerful tool to express the uncertainty that derives from an expert comparing characteristic objects and identifying membership functions for each criterion domain.
Journal ArticleDOI
Multi-criteria evaluation of alternative-fuel vehicles via a hierarchical hesitant fuzzy linguistic model
TL;DR: A hierarchical hesitant fuzzy linguistic model is proposed that captures hesitant linguistic evaluations of multiple experts on multiple criteria for alternative-fuel vehicles and is applied on the alternative- fuel vehicle selection problem of a home health care service provider in the USA.
Posted Content
Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems
TL;DR: In this article, multi-valued neutrosophic sets (MVNSs) are introduced, which allow the truthmembership, indeterminacy membership and falsity-membership degree have a set of crisp values between zero and one, espectively.
References
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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.
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TL;DR: This book effectively constitutes a detailed annotated bibliography in quasitextbook style of the some thousand contributions deemed by Messrs. Dubois and Prade to belong to the area of fuzzy set theory and its applications or interactions in a wide spectrum of scientific disciplines.
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L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].