关键词: 犹豫模糊集, Bonferroni平均, 阿基米德范数, 多准则决策, 群决策, 计算机网络系统

Abstract: Aiming at multi-criteria group decision making problems where criteria values are hesitant fuzzy information and decision making information is associated with each other, a Generalized Hesitant Fuzzy Bonferroni Mean（GHFBM） operator is proposed on the base of Archimedean t-conorm and t-norm, and then a novel multi-criteria group decision making method is investigated. The advantages of the developed method are not only its capability to capture the interrelationship among the input arguments, but also it has wider range of application. Some desirable properties of the GHFBM operator are discussed, such as monotonicity, idempotency, boundedness, commutativity and so on. In addition, when the parameter and?additive operator takes different?values and functions, some special cases of the GHFBM operator are obtained. In the end, a numerical example about update alternative of computer network system selection illustrates the rationality and effectiveness of the proposed method.

Key words: hesitant fuzzy set, Bonferroni mean, Archimedean norm, multi-criteria decision making, group decision making, computer network system