Measuring Similarity and Ordering based on Hesitant Fuzzy Linguistic Term Sets

AuthorsGholamreza Hesamian - Mehdi Shams
JournalJ INTELL FUZZY SYST
Paper TypeFull Paper
Published At2015
Journal GradeScientific - research
Journal TypeElectronic
Journal CountryNetherlands
Journal IndexISI, Scopus

Abstract

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.

Paper URL

tags: ranking method,Hesitant fuzzy linguistic term set,similarity measure,preference degree,reciprocally,reflexivity,transitivity