关键词: 犹豫模糊集, 软集, 模糊软集

Abstract: Hesitant fuzzy set is generalization of fuzzy sets. It’s defined in terms of a function that returns a set of membership values for each element in domain. It’s very useful to deal with group decision making problems. But inherent difficulties to deal with uncertain data are inadequacy of the parameterization tool of hesitant fuzzy set theory. In this paper, hesitant fuzzy soft sets are proposed as a new mathematic model so as to improve the certainty of decision making. Some basic operations of hesitant fuzzy soft set are studied and fundamental properties of hesitant fuzzy soft sets are discussed as well.

Key words: hesitant fuzzy sets, soft sets, fuzzy soft sets