Hesitant Fuzzy Information Aggregation Operators under Confidence Levels

In this paper, we focus on the hesitant fuzzy information aggregation operators in the situation where there are confidence levels of the aggregated arguments. Firstly, we develop a series of aggregation operators under confidence levels: the confidence induced hesitant fuzzy hybrid averaging (CIHFHA) operator, and discuss its excellent properties such as Idem potency, Boundary and Commutatively, which provides a powerful theory guarantee to make decisions by using the operator. Finally, the example demonstrates the effectiveness of the proposed aggregation operator.