Measuring Similarity and Ordering based on Hesitant Fuzzy Linguistic Term Sets

Article type: Research Article

Authors: Hesamian, Gholamreza | Shams, Mehdi

Affiliations: Department of Statistics, Payame Noor University, Tehran, Iran | Department of Mathematical Sciences, University of Kashan, Isfahan, Iran

Note: [] Corresponding author. Gholamreza Hesamian, Department of Statistics, Payame Noor University, Tehran, Iran. E-mails: [email protected] (Gholamreza Hesamian); [email protected] (Mehdi Shams).

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.

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

DOI: 10.3233/IFS-141382

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 2, pp. 983-990, 2015