概率对偶犹豫模糊PROMETHEE多属性群决策算法

doi:10.3778/j.issn.1002-8331.2203-0483

摘要/Abstract

摘要： 为解决犹豫模糊环境中由随机性和不确定性对实际决策造成偏差的多属性群决策问题，提出一种基于概率对偶犹豫模糊PROMETHEE的多属性群决策算法。构建各决策专家的概率对偶犹豫模糊信息矩阵；运用最大离差法与熵值法确定各决策专家与各指标属性的客观权重，结合改进的得分函数与偏离函数得到专家的综合决策评价信息矩阵；进而通过概率对偶犹豫模糊集与PROMETHEE结合的决策算法得到最终决策结果。将该算法运用于航空灾难事故应急响应方案评估的算例分析中，通过与TOPSIS、VIKOR及PDHFS决策算法的计算结果进行对比，验证了概率对偶犹豫模糊PROMETHEE多属性群决策算法的有效性与可靠性。

关键词: 概率对偶犹豫模糊集, PROMETHEE方法, 最大离差法, 熵值法, 多属性群决策

Abstract: A multi-attribute group decision-making method based on probabilistic dual hesitant fuzzy sets and the PROMETHEE method is proposed to solve the multi-attribute group decision-making problem in the field of hesitant fuzzy information. Firstly, each decision expert’s probabilistic dual hesitant fuzzy information matrix is constructed. Secondly, the maximum dispersion method and the entropy value method are used to determine the objective weight of each decision-making expert and each index attribute, then the score function and the deviation function are combined to obtain the comprehensive decision-making evaluation information matrix of the decision-making experts. Then, the final decision results are obtained based on the method of combining probabilistic dual hesitant fuzzy sets with PROMETHEE. Finally, the method is applied to the analysis of the case analysis of the emergency response scheme for evaluating the aviation disaster accident, and compared with the calculation results of the TOPSIS, VIKOR, and PDHFS decision-making methods, the validity and reliability of the method have been verified.

Key words: probabilistic dual hesitant fuzzy sets, PROMETHEE method, maximum dispersion, entropy method, multi-attribute group decision

朱钰婷, 张文宇, 侯俊杰, 张仁杰. 概率对偶犹豫模糊PROMETHEE多属性群决策算法[J]. 计算机工程与应用, 2022, 58(19): 88-97.

ZHU Yuting, ZHANG Wenyu, HOU Junjie, ZHANG Renjie. Multi-Attribute Group Decision Making Algorithm with Probabilistic Dual Hesitant Fuzzy Sets and PROMETHEE Method[J]. Computer Engineering and Applications, 2022, 58(19): 88-97.

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