Managing interval-valued multiplicative hesitant fuzzy information in GDM problems

Inspired by the idea of multiplicative preference relation as well as interval-valued 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 appraise subjective. The predominant feature of it was 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 proposed a series of useful aggregation operators. Moreover, we propose a group decision making (GDM) method based on proposed aggregation operators under interval-valued multiplicative hesitant fuzzy environment. Real case about college application problem is presented to show the useful and effectiveness of our proposed method.