Using power aggregation operators to fuse hesitant fuzzy information in multiple attribute decision making

Hesitant fuzzy set, as an extension of fuzzy set, is useful to depict fuzzy information with several possible values of membership of an element to a set in multiple attribute decision making. Motivated by the idea of power average operator, in this paper, several hesitant fuzzy power aggregation operators are developed, and their properties are investigated. An accuracy function and a set of comparison rules are established for ranking hesitant fuzzy sets. Moreover, an approach to multiple-attribute decision-making with hesitant information is developed on the basis of the power aggregation operators and comparison rules. Finally, an application of them to multiple-attribute decision-making is given by an illustrative example.