Generalized Hesitant Fuzzy Soft Sets and Its Application to Decision Making

Abstract

In this paper, we propose generalized hesitant fuzzy soft sets by integrating generalized fuzzy soft sets with hesitant fuzzy sets. Then we investigate several fundamental properties of generalized hesitant fuzzy soft sets. In particular, a system of all the generalized hesitant fuzzy soft sets with narrow strict union and generalized strict intersection operators turns out to be a lattice. Meanwhile, a system of all the generalized hesitant fuzzy soft sets with generalized strict union and narrow strict intersection operators is a lattice. Based on generalized hesitant fuzzy soft sets, we provide an effective approach to decision making. Finally, three examples are presented to illuminate the feasibility of the method.