考虑对称交互熵的对偶犹豫模糊企业环境行为决策模型分析  

Analysis of Dual Hesitant Fuzzy Enterprise Environmental Behavior Decision Model Considering Symmetric Interaction Entropy

作　　者：曲国华[1] 栗赟余 曲卫华 董丹琪 叶佳蒙 QU Guohua;LI Yunyu;QU Weihua;DONG Danqi;YE Jiameng(School of Management Science and Engineering,Shanxi University of Finance and Economics,Taiyuan 030006,China;School of Economics and Management,Shanxi University,Taiyuan 030006,China;Institute of Management and Decision,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西财经大学管理科学与工程学院,山西太原030006 [2]山西大学管理与决策研究所,山西太原030006 [3]山西大学经济与管理学院,山西太原030006

出　　处：《运筹与管理》2024年第2期49-56,共8页Operations Research and Management Science

基　　金：国家社会科学基金资助项目(21FGLB043);教育部哲学社会科学研究后期资助项目(23JHQ093)。

摘　　要：顺应绿色新发展理念,建设高质量生态文明,提升企业环境治理能力现代化水平,企业环境行为指标已逐渐被纳入投资者考量范围。本文针对第三方国际环境审计平台对企业环境行为评价的问题,研究面向对偶犹豫模糊评价信息的聚类方法。首先,定义对偶犹豫模糊相对熵与对称交互熵,并基于信息论角度提出一个新的对偶犹豫模糊相似度公式;然后,构造相似系数矩阵,并基于编网聚类方法对对偶犹豫模糊集进行聚类。最后,以不同指标权重下评价企业环境行为优劣程度为例进行计算,并与使用传统相关系数聚类方法所得结果进行对比,说明在考虑决策者提供的信息量较大的情况下,本文方法概念清晰、计算简单、分辨率高,是一种更加灵活、全面的多层次评价方法,为完善企业环境评价系统的构建提供了一种新思路。Accompanied by increasingly serious ecological and environmental problems,the whole society’s awareness of ecological protection is gradually strengthened.Enterprises,as the main source of pollution,are paid more attention to in the market,and thus all kinds of corporate environmental behavior indicators as the information to understand the environmental protection efforts of the enterprise,are gradually included in investor considerations.This paper focuses on the third-party international environmental auditing platform to evaluate the environmental behavior of enterprises,researches the clustering method of corporate environmental behavior information for dual hesitant fuzzy evaluation information,and identifies and selects excellent enterprises in this regard.First of all,this paper combs through the relevant research literature on enterprise environmental behavior at home and abroad in recent years,and agrees that the decision-making of enterprise environmental behavior belongs to the multi-attribute problem,and determines that the fuzzy mathematical theory will be used next to conduct research on enterprise environmental evaluation.Firstly,based on the third party international environmental audit process,this paper proposes that the dual hesitant fuzzy set consisting of two sets of possible values of affiliation and non-affiliation has a relative advantage in solving this kind of multi-attribute decision-making problem.Referring to related literature,based on the definition of dual hesitant fuzzy distance measure,we construct dual hesitant fuzzy relative entropy and dual hesitant fuzzy symmetric interaction entropy,and prove that the symmetric interaction entropy has non-negativity,symmetry,and uniqueness of the value of zero.Then,a new dual hesitant fuzzy similarity formula is proposed based on the information theoretic perspective,and its five properties suitable for use as an evaluation criterion are clarified,and it is further extended to a similarity formula considering weights.Finally,the similarit

关 键 词：企业环境行为 对偶犹豫模糊集 对称交互熵 相似度 聚类 

分 类 号：F272[经济管理—企业管理]