关键词: 犹豫正态模糊元, 多属性群决策, 信息集成算子, 计算机网络系统

Abstract: Hesitant normal fuzzy elements（HNFEs） as well as their operational laws, score functions and Euclidean distance are defined. Then, the generalized hesitant normal fuzzy ordered weighted averaging（GHNFOWA） operator is proposed and some desirable properties of the GHNFOWA operator are studied. The GHNFOWA operator not only preserves the decision maker’s preference information as much as possible, but also the values of the parameter and attribute weights can changes on the base on decision makers’ attitude to make the results fix the expected values of decision makers. Furthermore, some special cases of the GHNFOWA operator are given when the weight vector?and?operator?parameter takes different values, and the relationship between two common operators is studied. Finally, for multi-attribute decision making problems with the information of attribute weights is completely unknown, a method based on the GHNFOWA operator is investigated. The optimal weights are calculated by the distances of each alternative under an attribute, and then aggregate all the attribute values into the overall attribute values, which is followed by the ranking of the alternative. An example is given to demonstrate the developed method is practicality and effectiveness.

Key words: hesitant normal fuzzy elements, multi-attribute group decision making, information aggregation operator, computer network systems