Interval-Valued Hesitant Fuzzy Geometric Bonferroni Mean Aggregation Operator

摘要

Hesitant fuzzy set (HFS) is one of the most common used techniques for expressing the decision maker's subjective evaluation information. Interval-valued hesitant fuzzy set (IVHFS) is the extension of HFS and can reflect our intuition more objectively. In this paper we focus on the IVHF information aggregation methods based on Bonferroni mean (BM). We proposed the IVHF geometric BM operator (IVHFGBM) and weighted IVHFGBM operators. Some numerical examples for the operators are designed for showing their effectiveness. The desirable properties of weighted IVHFGBM operator are also discussed in detail. These operators can be applied in many areas especially in decision making problems.