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

摘要

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.