Managing interval-valued multiplicative hesitant fuzzy information in GDM problems

Abstract. Inspired by the idea of multiplicative preference relation as well as intervalvalued hesitant fuzzy set, we introduce a new preference relation called interval-valued multiplicative hesitant fuzzy preference structure. It is a powerful technique to describe the preference information assessed by dierent decision makers. The predominant feature is that it allows decision makers to use the interval-valued hesitant fuzzy information in describing the preference structure. We focus on the information aggregation methods for interval-valued multiplicative hesitant fuzzy preference information and propose a series of useful aggregation operators. Moreover, we propose a Group Decision-Making (GDM) method based on the proposed aggregation operators under interval-valued multiplicative hesitant fuzzy environment. A real case about college application problem is presented to show usefulness and eectiveness of our proposed method.