Z-number综合熵及其在多属性决策中的应用  

Z-number Comprehensive Entropy and Its Application in Multi-attribute Decision Making

作　　者：王翠翠[1] WANG Cuicui(Department of Basic Courses,Anhui Sanlian University,Hefei 230601,China)

机构地区：[1]安徽三联学院基础部,安徽合肥230601

出　　处：《宿州学院学报》2022年第3期16-20,35,共6页Journal of Suzhou University

基　　金：安徽省教育厅高等学校自然科学研究重点项目(KJ2019A0887);安徽三联学院自然科学研究重点项目(KJZD2019008);安徽三联学院星级教师工作坊项目(XJJS201902)。

摘　　要：针对以Z-number为信息环境的多属性决策问题,提出Z-number复合效用函数和综合熵,并构建Z-number多属性决策新方法。基于积分中值与模糊集截集的特性提出两类模糊集效用函数,进而得到Z-number的复合效用函数;根据Z-number的不确定性来源构造Z-number的综合熵测度,提出两种度量模糊数模糊度的新公式,并通过熵权法求解各决策属性的权重,从而求得各方案加权综合得分以确定各方案的优劣;通过一个出行交通工具选择的案例验证了所提决策方法的可行性与有效性。Aiming at the multi-attribute decision making problem under Z-number environment, the paper has proposed Z-number compound utility function and comprehensive entropy, and constructed a new multi-attribute decision making method.Two kinds of fuzzy set utility functions are proposed based on the characteristics of integral median value and fuzzy set truncation, and the compound utility function of Z-number is obtained.The comprehensive entropy measure of Z-number is constructed according to the uncertainty source of Z-number.Two new fuzziness measure formulas of fuzzy numbers are proposed.The entropy weight method is used to solve the weight of each decision attribute, and then the weighted comprehensive score of each scheme is obtained to determine the merits and demerits.The feasibility and effectiveness of the proposed decision making method is verified by a case study of vehicle selection.

关 键 词：Z-number 复合效用函数 综合熵 模糊度 多属性决策 

分 类 号：C934[经济管理—管理学]