Managing interval-valued multiplicative hesitant fuzzy information in GDM problems

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 different 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 effectiveness of our proposed method.