基于Choquet积分的直觉语言TODIM多属性群决策方法  

Multi Attribute Group Decision Making Method of Intuitionistic Linguistic TODIM Based on Choquet Integral

作　　者：刘宁元[1] LIU Ning-yuan(School of Finance and Traade,Guangdong Industry Polytechnic,Guangzhou 51000,China)

机构地区：[1]广东轻工职业技术学院财贸学院,广东广州510000

出　　处：《数学的实践与认识》2020年第4期10-19,共10页Mathematics in Practice and Theory

基　　金：湖南省自然科学基金(2015JJ2047);“天诚汇智”创新促教基金项目(2018B04001).

摘　　要：针对属性间存在着关联性的直觉语言多属性群决策问题,提出一种基于Choquet积分的直觉语言TODIM多属性群决策方法.首先定义直觉语言Choquet积分平均算子、直觉语言Choquet积分几何算子,并讨论其性质;然后考虑决策者参照依赖和损失规避心理行为,对每个属性下方案两两之间的优势-劣势进行比较,计算属性关联情境下每个方案相对于其它方案的益损值,构建益损值感知价值函数矩阵;进一步计算方案相对于其它所有方案的综合感知价值函数值,进而依据备选方案综合感知价值函数值大小进行排序择优,并通过实例分析表明该方法的可行性和有效性.Aiming at the intuitionistic linguistic multi-attribute decision making problem of attribute association,this paper proposes a TODIM multi-attribute group decision making method based on Choquet integral.Firstly,the intuitional linguistic Choquet integral averaging operator and the intuitional linguistic Choquet integral geometric operator are defined and their properties are discussed.Then,considering the decision maker’s psychological behavior of dependence and loss aversion,the advantages and disadvantages between the two schemes under each attribute are compared,and the profit and loss values of each scheme relative to other schemes are calculated in the context of attribute correlation,and the perceived value function of profit and loss values is constructed Then we calculate the total perceived value function of the scheme relative to all other schemes,and rank the schemes according to their size.Finally,an example is given to illustrate the feasibility and effectiveness of the proposed method.

关 键 词：直觉语言数 属性关联 TODIM方法 多属性群决策 

分 类 号：O225[理学—运筹学与控制论]