Divergence measures on hesitant fuzzy sets

Article type: Research Article

Authors: Kobza, Vladimír^{a; *} | Janiš, Vladimír^a | Montes, Susana^b

Affiliations: [a] Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Slovakia | [b] Department of Statistics and Operational Research, University of Oviedo, Spain

Correspondence: [*] Corresponding author. Vladimír Kobza, Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Slovakia. Tel.: +421 908 505 488; E-mail: Vladimir.Kobza@umb.sk.

Abstract: Measures of difference are studied for hesitant fuzzy sets, i.e. mappings where the values are multisets in the unit interval. Locality (the change of the value of the difference is dependent only on changes in singletons) of such mappings is discussed and the class of all local divergences is characterized. Entropies for hesitant fuzzy sets are also studied, namely fuzziness entropy measure and hesitance entropy measure.

Keywords: Hesitant fuzzy set, divergence measure, hesitant divergence measure, locality, entropy

DOI: 10.3233/JIFS-161430

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1589-1601, 2017