关键词: 犹豫模糊集, 多属性群决策, 阿基米德T-范数和S-范数, 集成算子

Abstract: Based on the Archimedean t-norm and s-norm, the generalized hesitant fuzzy information aggregation operator is proposed under hesitant fuzzy environment, and a new method for multi-attribute group decision making is developed. The generalized hesitant fuzzy operational laws are defined, which is based on the Archimedean t-norm and s-norm. The generalized hesitant fuzzy ordered weighted averaging operator is proposed, and then discusses some of its desirable properties in detail. Discuss in some special circumstances, the generalized hesitant fuzzy ordered weighted averaging operator will be convert into some common hesitant fuzzy information aggregation operators, such as hesitant fuzzy ordered weighted averaging operator, hesitant fuzzy Einstein ordered weighted averaging operator, hesitant fuzzy Hamacher ordered weighted averaging operator and hesitant fuzzy Frank ordered weighted averaging operator. A new approach to hesitant fuzzy multi-attribute group decision making is presented based on the proposed operator, and then apply the developed approach to research on the coordinated development of regional economy, and illustrate the behavior of the proposed approach.

Key words: hesitant fuzzy set, multi-attribute group decision making, Archimedean t-norm and s-norm, aggregation operator