Journal ArticleDOI
Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets
TLDR
The primary goal of the study is to suggest the systematic transformation of the entropy into the similarity measure for HFSs and vice versa, and two clustering algorithms are developed under a hesitant fuzzy environment.About:
This article is published in Information Sciences.The article was published on 2013-08-01. It has received 328 citations till now. The article focuses on the topics: Similarity measure & Fuzzy set.read more
Citations
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Journal ArticleDOI
Hesitant Fuzzy Sets: State of the Art and Future Directions
TL;DR: An overview on hesitant fuzzy sets is presented with the aim of providing a clear perspective on the different concepts, tools and trends related to this extension of fuzzy sets.
Journal ArticleDOI
Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems
TL;DR: This work focuses on multi-criteria decision-making (MCDM) problems in which the criteria are in different priority levels and the criteria values take the form of interval-valued hesitant fuzzy linguistic numbers (IVHFLNs).
Journal ArticleDOI
Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making
Deepa Joshi,Sanjay Kumar +1 more
TL;DR: The main purpose of this paper is to define the Choquet integral operator for interval-valued intuitionistic hesitant fuzzy sets (IVIHFS) and to extend the technique for order preference by similarity to ideal solution (TOPSIS) method using Choquet Integral operator in interval- valued intuitionists hesitant fuzzy environment.
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
The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment
Xiaolu Zhang,Zeshui Xu +1 more
TL;DR: The TODIM (an acronym in Portuguese of interactive and multi-criteria decision making) method is extended, which is based on prospect theory and can effectively capture the decision maker's psychological behavior, to solve this type of problems under hesitant fuzzy environment.
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
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.
Journal ArticleDOI
A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory
A. De Luca,Settimo Termini +1 more
TL;DR: A functional defined on the class of generalized characteristic functions (fuzzy sets), called “entropy≓, is introduced using no probabilistic concepts in order to obtain a global measure of the indefiniteness connected with the situations described by fuzzy sets.
Journal ArticleDOI
Hesitant Fuzzy Linguistic Term Sets for Decision Making
TL;DR: The concept of a hesitant fuzzy linguistic term set is introduced to provide a linguistic and computational basis to increase the richness of linguistic elicitation based on the fuzzy linguistic approach and the use of context-free grammars by using comparative terms.
Book
Intuitionistic Fuzzy Sets: Theory and Applications
TL;DR: The basic definitions and properties of the Intuitionistic Fuzzy Sets (IFSs) are introduced in the book and readers will find discussions on some of the IFS extensions (for example, interval-values IFSs, temporal I FSs and others) and applications.