Convex hesitant fuzzy sets

Article type: Research Article

Authors: Rashid, Tabasam^a | Beg, Ismat^{b; *}

Affiliations: [a] Department of Mathematics, University of Management and Technology, Lahore, Pakistan | [b] Lahore School of Economics, Lahore, Pakistan

Correspondence: [*] Corresponding author. Ismat Beg, Lahore School of Economics, Lahore, Pakistan. Tel.: +92 345 4161107; Fax: +92 423 6560905; E-mail: ibeg@lahoreschool.edu.pk.

Abstract: Convex hesitant fuzzy sets are define as an extension of convex fuzzy sets. Also level sets are defined for hesitant fuzzy sets and discussed with their convexity. We focus on aggregation functions for hesitant fuzzy elements. These aggregation functions are further extended for hesitant fuzzy sets as well as for the convex structures of these sets.

Keywords: Fuzzy set, hesitant fuzzy set, convexity, aggregation function

DOI: 10.3233/IFS-152057

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2791-2796, 2016