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 …

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 …

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 …

[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 …

Novel distance and similarity measures for hesitant fuzzy sets and their applications to multiple attribute decision making

X Tang, Z Peng, H Ding, M Cheng… - Journal of Intelligent & …, 2018 - content.iospress.com
Distance and similarity measures have recently been investigated in-depth within the
context of hesitant fuzzy sets. By analyzing the existing studies concerning distance …

Distance and similarity measures for multiple-attribute decision making with dual hesitant fuzzy sets

P Singh - Computational and Applied Mathematics, 2017 - Springer
Dual hesitant fuzzy set, first proposed by Zhu et al.(Dual hesitant fuzzy sets, J Appl Math, 1–
13, 2012) as an extension of hesitant fuzzy sets, which encompass fuzzy sets, intuitionistic …

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 hesitant fuzzy sets

Z Xu, M Xia - Information sciences, 2011 - Elsevier
In this paper, we propose a variety of distance measures for hesitant fuzzy sets, based on
which the corresponding similarity measures can be obtained. We investigate the …

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 …

Distance measures for higher order dual hesitant fuzzy sets

J Chen, X Huang, J Tang - Computational and Applied Mathematics, 2018 - Springer
In this study, we propose new distance measures for dual hesitant fuzzy sets (DHFSs) in
terms of the mean, standard deviation of dual hesitant fuzzy elements (DHFEs), respectively …