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 …

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 …

Uncertainty measures for probabilistic hesitant fuzzy sets in multiple criteria decision making

B Farhadinia, U Aickelin… - International Journal of …, 2020 - Wiley Online Library
This contribution reviews critically the existing entropy measures for probabilistic hesitant
fuzzy sets (PHFSs), and demonstrates that these entropy measures fail to effectively …

New distance and similarity measures on hesitant fuzzy sets and their applications in multiple criteria decision making

D Li, W Zeng, J Li - Engineering applications of artificial intelligence, 2015 - Elsevier
The distance measures of hesitant fuzzy elements (HFEs) h 1 (x) and h 2 (x) introduced in
the literature only cover the divergence of the values, but fail to consider the difference …

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 …

Novel correlation coefficients between hesitant fuzzy sets and their application in decision making

H Liao, Z Xu, XJ Zeng - Knowledge-Based Systems, 2015 - Elsevier
Hesitant fuzzy set (HFS) is now attracting more and more scholars' attention due to its
efficiency in representing comprehensively uncertain and vague information. Considering …

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 …

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 …

Extended hesitant fuzzy sets

B Zhu, Z Xu - Technological and Economic Development of …, 2016 - Taylor & Francis
Hesitant fuzzy sets (HFSs) are a useful tool to manage situations in which the decision
makers (DMs) hesitate about several possible values for the membership to assess a …

Deviation degree: a perspective on score functions in hesitant fuzzy sets

B Wang, J Liang, J Pang - International Journal of Fuzzy Systems, 2019 - Springer
Score functions play an important role in ranking hesitant fuzzy elements (HFEs) and
hesitant fuzzy sets (HFSs). Currently, various kinds of HFE and HFS score functions have …