Ideal solutions for hesitant fuzzy soft sets

Article type: Research Article

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

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

Correspondence: [*] Corresponding author. Ismat Beg, Lahore School of Economics, Lahore, Pakistan. Tel.: +92 345 4161107; Fax: +92 42 36560905; E-mail: [email protected].

Abstract: Dealing with uncertainty is a difficult task and different tools have been proposed in the literature to handle it. Hesitant fuzzy sets are highly useful in resolving situations where people hesitate when providing their preferences. In this paper, the concept of a hesitant fuzzy soft set is modified to manage the situations in which experts assess an alternative according to finite criteria in all possible values. Next a distance measure is defined between any two elements of hesitant fuzzy soft set. Technique for order preference by similarity to ideal solution is also proposed in hesitant fuzzy soft set. An example is constructed for ranking of alternatives.

Keywords: Hesitant fuzzy soft set, TOPSIS, multiple attributes group decision making

DOI: 10.3233/IFS-151740

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 143-150, 2016