基于q阶orthopair模糊集和参考理想法的多准则决策方法  

A Multi-Criteria Decision-Making Method Based on q-Rung Orthopair Fuzzy Set and Reference Ideal Method

作　　者：王浩伦 张发明 完颜晓盼 韩雪 WANG Hao-lun;ZHANG Fa-ming;WAN-YAN Xiao-pan;HAN Xue(School of Economics and Management,Nanchang Hangkong University,Nanchang 330063,China;School of Economics and Management,Nanchang University,Nanchang 330031,China;School of Business,Guilin University of Electronic Technology,Guilin 541004,China;School of Transportation and Logistics,East China JiaoTong University,Nanchang 330013,China)

机构地区：[1]南昌航空大学经济管理学院,江西南昌330063 [2]南昌大学经济管理学院,江西南昌330031 [3]桂林电子科技大学商学院,广西桂林541004 [4]华东交通大学交通运输与物流学院,江西南昌330013

出　　处：《中国管理科学》2023年第10期245-253,共9页Chinese Journal of Management Science

基　　金：国家自然科学基金资助项目(72361026,72161006);教育部人文社会科学基金资助项目(21XJA630009,19YJC630164);广西自然科学基金资助项目(2021JJA180078);广西哲学社会科学规划项目(21FGL037);江西省主要学科学术和技术带头人项目(20194BCJ22001);江西省博士后科研资助项目(2019KY14)。

摘　　要：针对现有决策方法理想解确定不合理和秩反转的问题,提出一种基于q阶orthopair模糊集(q-rung orthopair fuzzy set,q-ROFS)和参考理想法(reference ideal method,RIM)的多准则决策方法。在q-ROFS概念基础上分别定义了q-ROF可能度和q-ROFS交叉熵,并讨论其相关性质;将传统RIM在q-ROF环境下进行扩展,构建一种基于q-ROFRIM的多准则决策模型,利用q-ROF可能度确定准则最优权重以及作为q-ROF信息差异程度测度的q-ROF交叉熵替代传统RIM中距离测度。最后通过实例分析说明该方法可行和有效,方法对比结果表明,所提方法不仅使决策过程更加科学和合理,而且能够解决秩反转问题。Among traditional decision methods,such as TOPSIS and VIKOR,the maximum or minimum value is considered to be the best choice,but the best choice may occur between the maximum and minimum value in the real world,such as the temperature suitable for plant growth.Meanwhile,q-rung orthopair fuzzy set(q-ROFS)can help decision-makers express their opinions freely and comprehensively in the face of complex decision-making problems.To solve the problems of unreasonable determination of ideal solution and rank reversal in existing decision-making methods,a multi-criteria decision-making method based on q-ROFS and reference ideal method(RIM)is proposed.Firstly,the q-rung orthopair fuzzy(q-ROF)possibility degree and q-ROFS cross entropy are defined respectively,and their related properties are discussed;Secondly,the traditional RIM is extended in the q-ROF environment,and a multi-criteria decision-making model based on q-ROFRIM is built,where the q-ROF possibility degree is used to determine the optimal weight of the criteria,and the q-ROF cross entropy,as a measure of the information difference degree of q-ROF,is used to replace the distance measure in the traditional RIM.Finally,an example analysis illustrates the feasibility and effective⁃ness of the proposed method.In addition,comparison with previous methods shows that the proposed method not only makes the decision process more scientific and reasonable,but also avoids the rank reversal problem.

关 键 词：q-ROFS q-ROF可能度 q-ROFS交叉熵 q-ROFRIM 多准则决策 

分 类 号：C934[经济管理—管理学]