Entropy for hesitant fuzzy sets based on Hausdorff metric with construction of hesitant fuzzy TOPSIS

Z Hussain, MS Yang - International Journal of Fuzzy Systems, 2018 - Springer
In this paper, new entropy measures for hesitant fuzzy sets (HFSs) are proposed. Measuring
uncertainty for an HFS is computed by an amount of distinction between an HFS and its …

Inclusion measure for typical hesitant fuzzy sets, the relative similarity measure and fuzzy entropy

H Zhang, S Yang - Soft Computing, 2016 - Springer
Typical hesitant fuzzy sets (THFSs), possessing a finite-set-valued fuzzy membership
degrees called typical hesitant fuzzy elements (THFEs), is a special kind of hesitant fuzzy …

Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets

B Farhadinia - Information Sciences, 2013 - Elsevier
The main purpose of this paper is to investigate the relationship between the entropy, the
similarity measure and the distance measure for hesitant fuzzy sets (HFSs) and interval …

Entropy measures for hesitant fuzzy sets and their application in multi-criteria decision-making

C Wei, F Yan, RM Rodriguez - Journal of Intelligent & Fuzzy …, 2016 - content.iospress.com
Entropy is used to measure the uncertain degree of fuzzy sets and has been widely used in
many fields. This paper introduces an axiomatic definition of entropy measure and a novel …

Distance and similarity measures of hesitant fuzzy sets based on Hausdorff metric with applications to multi-criteria decision making and clustering

MS Yang, Z Hussain - Soft Computing, 2019 - Springer
Distance and similarity measures play a vital role to differentiate between two sets or
objects. Different distance and similarity measures had been proposed for hesitant fuzzy …

Similarity and entropy measures for hesitant fuzzy sets

J Hu, Y Yang, X Zhang, X Chen - International Transactions in …, 2018 - Wiley Online Library
Hesitant fuzzy sets (HFSs) are beneficial tools for expressing the hesitancy of decision
makers (DMs) to access alternatives in daily life, thereby enabling the membership of an …

Synthetic correlation coefficient between hesitant fuzzy sets with applications

X Guan, G Sun, X Yi, Z Zhou - International Journal of Fuzzy Systems, 2018 - Springer
Hesitant fuzzy sets (HFSs) are becoming more and more popular in the fuzzy domain and
attract great attentions. As an important research orientation of HFSs, the correlation …

[图书][B] Information measures for hesitant fuzzy sets and their extensions

B Farhadinia, Z Xu - 2019 - Springer
In fuzzy set (FS) theory, which is a generalization of classical set theory introduced by Zadeh
[1], distance, similarity and entropy measures have drawn the attention of many researchers …

Hesitant fuzzy information measures and their applications in multi-criteria decision making

J Hu, X Zhang, X Chen, Y Liu - International Journal of Systems …, 2016 - Taylor & Francis
Hesitant fuzzy set (HFS) is a powerful decision tool to express uncertain information more
flexibly and comprehensively. The aim of this paper is to propose more reasonable …

Distance measures on intuitionistic hesitant fuzzy set and its application in decision-making

X Chen, C Suo, Y Li - Computational and Applied Mathematics, 2021 - Springer
Intuitionistic hesitant fuzzy set (IHFS) provides a valid mean for dealing with the uncertainty
of complex problems. Information measures on IHFS can measure the uncertain information …