基于熵和关联系数的概率对偶犹豫模糊多属性决策方法  

Probabilistic Dual Hesitant Fuzzy Multi-attribute Decision Making Method Based on Entropy and Correlation Coefficient

作　　者：苏冰杰 卢方元[2] 朱峰 SU Bing-jie;LU Fang-yuan;ZHU Feng(School of Economics of Xiamen University, Xiamen 36100, China;School of Business Zhengzhou University, Zhengzhou 450001, China;School of Management Engineering Zhengzhou University, Zhengzhou 450001, China)

机构地区：[1]厦门大学经济学院,福建厦门361001 [2]郑州大学商学院,河南郑州450001 [3]郑州大学管理工程学院,河南郑州450001

出　　处：《运筹与管理》2022年第2期23-28,共6页Operations Research and Management Science

基　　金：河南省软科学重点项目(202400410049)。

摘　　要：针对概率对偶犹豫模糊环境下属性权重完全未知的多属性决策问题,提出基于熵和关联系数的多属性决策方法。首先定义了概率对偶犹豫模糊熵的公理化定义和公式,然后基于概率对偶犹豫模糊集的特征信息集合和熵测度定义了概率对偶犹豫模糊集的关联系数,最后根据概率对偶犹豫模糊集的熵和关联系数构建多属性决策模型,并通过算例验证了该模型的有效性和合理性。A multi-attribute decision making method based on entropy and correlation coefficient is proposed for multi-attribute decision making with completely unknown attribute weights under probabilistic dual hesitant fuzzy environment.First,the axiomatic definition and formula of probabilistic dual hesitant fuzzy entropy are defined.Then,based on the feature information set and entropy measure of probabilistic dual hesitant fuzzy set,the correlation coefficient of probabilistic dual hesitant fuzzy set is defined.Finally,the multi-attribute decision-making model is constructed based on the entropy and correlation coefficient of the probabilistic dual hesitant fuzzy set.And the validity and rationality of the model are verified by an example.

关 键 词：多属性决策 概率对偶犹豫模糊集 熵 关联系数 

分 类 号：C934[经济管理—管理学]