[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 …

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 …

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 …

Some new similarity measures for hesitant fuzzy sets and their applications in multiple attribute decision making

X Zhou, Q Li - arXiv preprint arXiv:1211.4125, 2012 - arxiv.org
Similarity measure is a very important topic in fuzzy set theory. Torra (2010) proposed the
notion of hesitant fuzzy set (HFS), which is a generalization of the notion of Zadeh'fuzzy set …

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 …

Distance and similarity measures for higher order hesitant fuzzy sets

B Farhadinia - Knowledge-Based Systems, 2014 - Elsevier
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 …

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 …

New distance measures on hesitant fuzzy sets based on the cardinality theory and their application in pattern recognition

F Zhang, S Chen, J Li, W Huang - Soft Computing, 2018 - Springer
As a generalization of fuzzy set, hesitant fuzzy set (HFS) permits the membership of an
element to a set having a set of possible values. Distance is one of important tools in …

[PDF][PDF] Z-Score Functions of Hesitant Fuzzy Sets

Z Rodzi, AG Ahmad, NF Ismail, NL Abdullah - Math. Stat., 2021 - researchgate.net
The hesitant fuzzy set (HFS) concept as an extension of fuzzy set (FS) in which the
membership degree of a given element, called the hesitant fuzzy element (HFE), is defined …

New distance and similarity measures for hesitant fuzzy sets and their application in hierarchical clustering

K Rezaei, H Rezaei - Journal of Intelligent & Fuzzy Systems, 2020 - content.iospress.com
The hesitant fuzzy sets (HFSs) are an extension of the classical fuzzy sets. The membership
degree of each element in a hesitant fuzzy set can be a set of possible values in the interval …