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ICSES Transactions on Neural and Fuzzy Computing
Vol. 2, No. 2, Jun. 2019

An Overview on Hesitant Fuzzy Information Measures

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a Quchan University of Technology, Quchan, Iran

 

Highlights and Novelties
1- We are going to ‎give a thorough and systematic review of distance measures for HFSs.

2- We are going to ‎give a thorough and systematic review of similarity measures for HFSs.

3- We are going to ‎give a thorough and systematic review of entropy measures for HFSs‎.

 

Manuscript Abstract
Although the concept of fuzzy set (FS) has been widely and successfully applied in many different areas to model some types of uncertainty, the limitation of this concept is still more serious in case of dealing with imprecise and vague information when different sources of vagueness appear simultaneously. Due to this fact and to overcome such limitations, a number of extensions of FSs have been introduced in the literature. By the way, among the most known extensions of FSs, hesitant fuzzy set (HFS) has attracted great attention of many scholars that have been extended to new types and these extensions have been used in many areas such as decision making, aggregation operators, and information measures. Because of such a growth, throughout the present manuscript, we are going to give a thorough and systematic review to the main research results in the field of information measures for HFSs including the distance measures, the similarity measures, and the entropy measures. What seems more considerable in this study is the systematic transformation of the distance measure into the similarity measure and vice versa, and moreover, the two categories of entropy measures including those are derived from the other information measures, and those are based on axiomatic frameworks.

 

Keywords
 Hesitant fuzzy set   Distance measure   Similarity measure   Entropy measure 

 

Copyright and Licence
© Copyright was transferred to International Computer Science and Engineering Society (ICSES) by all the Authors. This manuscript is published in Open-Access manner based on the copyright licence of Creative Commons Attribution Non Commercial 4.0 International (CC BY-NC 4.0).

 

Cite this manuscript as
Bahram Farhadinia, "An Overview on Hesitant Fuzzy Information Measures," ICSES Transactions on Neural and Fuzzy Computing, vol. 2, no. 2, pp. 22-27, Jun. 2019.

 

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Manuscript ID: 288
Pages: 22-27
Submitted: 2019-05-13
Revised: 2019-06-01
Accepted: 2019-06-01
Published: 2019-06-30

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Journal's Title
ITNFC Cover Page

Journal

ICSES Transactions on Neural and Fuzzy Computing
ISSN: 2717-0055
ISSN: 2717-0055
Frequency: Quarterly
Accessability: Online - Open Access
Founded in: Feb. 2018
Publisher: ICSES
DOI Suffix: 10.31424/icses.itnfc