Measuring Similarity and Ordering based on Hesitant Fuzzy Linguistic Term Sets

This paper deals with proposing two family of similarity measures between Hesitant Fuzzy Linguistic Term Sets. It will proved that the proposed similar measures satisfy the properties of the axiomatic definition for similarity measures and introduces several theorems. A method is also suggested to r...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 28; no. 2; pp. 983 - 990
Main Authors Hesamian, Gholamreza, Shams, Mehdi
Format Journal Article
LanguageEnglish
Published 2015
Subjects
Decision making
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Linguistics
Mathematical analysis
Similarity
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Summary:This paper deals with proposing two family of similarity measures between Hesitant Fuzzy Linguistic Term Sets. It will proved that the proposed similar measures satisfy the properties of the axiomatic definition for similarity measures and introduces several theorems. A method is also suggested to rank Hesitant Fuzzy Linguistic Term Sets. Then some desirable properties of the ranking method is put into investigation. An illustrative example from the area of decision making will be used to present the calculation of the similar measures and preference degrees between Hesitant Fuzzy Linguistic Term Sets.
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ISSN:1064-1246
DOI:10.3233/IFS-141382