Power Convex Operator-Based Multiple-Criteria Decision Making for Hesitant Multiplicative Fuzzy Information

Multi-hesitant fuzzy set (MHFS) is an extended hesitant fuzzy set, which allows the values to be repeated more than once. Here, we introduce a new convex combination of MHFS values. The weighted MHF power average operator is established and the corresponding properties are explained. Next, a novel aggregation operator-based multiple-criteria decision making approach is designed for the problem of ranking alternatives. Lastly, we provide an example to validate the proposed method and evaluate its feasibility and robustness.