%0 Journal Article %T Managing interval-valued multiplicative hesitant fuzzy information in GDM problems %J Scientia Iranica %I Sharif University of Technology %Z 1026-3098 %A Yu, Dejian %A Li, Deng-Feng %D 2016 %\ 08/01/2016 %V 23 %N 4 %P 1918-1927 %! Managing interval-valued multiplicative hesitant fuzzy information in GDM problems %K Hesitant fuzzy set %K interval-valued multiplicative hesitant fuzzy set %K Aggregation operator %K GDM %K college application %R 10.24200/sci.2016.3937 %X 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.  %U https://scientiairanica.sharif.edu/article_3937_af0f59597b54f55490f6fcf3497f058e.pdf