Abstract: For the group decision making problem with unknown attribute weight, a multi-attribute group decision making method was proposed combining Evaluation based on Distance from Average Solution (EDAS) and Probabilistic Linguistic Term Set (PLTS), considering the decision maker's psychological behavior of regret avoidance. First, the entropy and cross entropy of PLTS were defined according to the properties of PLTS and the attribute weight model was established. Second, the group satisfaction formula was extended to the PLTS environment and was used for the calculation of the utility values in regret theory. Third, the model and the group satisfaction formula were determined based on the attribute weights of PLTS, the regret theory and EDAS method were combined to propose a new multi-attribute decision making method, and the selection sort was performed to the alternatives. Finally, taking the selection sort of real internet public opinion emergencies as an example, the proposed method was verified, and the effectiveness of the method was proved through comparative analysis.

Key words: Probabilistic Linguistic Term Set (PLTS), regret theory, Evaluation based on Distance from Average Solution (EDAS), information entropy, internet public opinion emergency

摘要： 针对属性权重未知的群体决策问题，提出基于离平均方案（平均解）距离的评价方法（EDAS）及考虑决策者后悔规避心理行为的概率语言术语集（PLTS）多属性群决策方法。首先，根据PLTS的相关性质定义概率语言术语集信息熵及交叉熵并建立属性权重模型；然后，将群体满意度公式拓展到概率语言术语集环境下，并用于后悔理论中效用值的计算；随后，基于概率语言术语集的属性权重确定模型及群体满意度公式，将后悔理论与EDAS法相结合提出新的多属性决策方法，并对各备选方案进行选择排序；最后，以实例网络舆情突发事件的选择排序为实例对所提出的方法进行验证，并通过对比分析来证明所提方法的有效性。

关键词: 概率语言术语集, 后悔理论, 离平均方案（平均解）距离的评价方法, 信息熵, 网络舆情突发事件