Belief structure-based induced aggregation operators in decision making with hesitant fuzzy information

Xihua Li, Xiaohong Chen

Abstract: In this paper, the decision-making problems under hesitant fuzzy environment are investigated with Dempster–Shafer (D–S) theory. Firstly, some basic concepts of hesitant fuzzy sets, generalized hesitant fuzzy sets and D–S theory are introduced. Then two new aggregation operators: belief structure hesitant fuzzy induced ordered weighted averaging operator and belief structure hesitant fuzzy induced ordered weighted geometric operator are developed, and some properties of the proposed operators are studied. A belief structure hesitant fuzzy induced aggregation operators-based decision-making approach under uncertainty is developed. Then the proposed operators and procedures are extended to generalized hesitant fuzzy environment. Finally, some illustrative examples show the feasibility of the proposed methods.