Journal of Computer Applications ›› 2020, Vol. 40 ›› Issue (11): 3152-3158.

• Artificial intelligence •

### Multi-attribute group decision making method for probabilistic linguistic term set based on regret theory and distance from average solution method

1. School of Economics and Management, Fuzhou University, Fuzhou Fujian 350116, China
• Received:2020-02-15 Revised:2020-03-25 Online:2020-11-10 Published:2020-03-28
• Supported by:
This work is partially supported by the National Natural Science Foundation of China (61773123).

### 基于后悔理论及EDAS法的概率语言多属性群决策方法

1. 福州大学 经济与管理学院, 福州 350116
• 通讯作者: 童玉珍(1994-);女,福建龙岩人,硕士研究生,主要研究方向:决策理论与方法;576856545@qq.com
• 作者简介:王应明(1964-),男,江苏海安人,教授,博士,主要研究方向:决策理论与方法、数据包络分析
• 基金资助:
国家自然科学基金资助项目（61773123）。

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.

CLC Number: