基于前景理论和VIKOR的直觉梯形模糊多属性决策模型研究  

Intuitionistic trapezoidal fuzzy multi-attribute decision making based on prospect theory and VIKOR

作　　者：杨国俊 周小虎[1] Yang Guojun;Zhou Xiaohu(School of Economics and Management,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]南京理工大学经济管理学院,江苏南京210094

出　　处：《南京理工大学学报》2022年第5期642-648,共7页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(71672084)。

摘　　要：在直觉梯形模糊型多属性决策问题中,评价值的模糊特征使得数据集结较为困难。该文引入前景理论,通过非参数检验的方式获取不同状态下直觉梯形模糊值的分布状况,形成期望值参考点,给出前景价值矩阵。充分考虑VIKOR方法可以获取妥协解,给出了融合前景理论和VIKOR的直觉梯形模糊型多属性决策方法和步骤。案例分析表明,该文方法在距离测度和方案评估等方面有较好的稳定性和可靠性。In intuitionistic trapezoidal fuzzy multi-attribute decision-making problems,data aggregation is difficult due to the fuzzy characteristics of evaluation values.Therefore,this paper introduces the prospect theory,and obtains the distribution of intuitionistic trapezoidal fuzzy number in different states by means of nonparametric test,forms expected value reference points,and gives the prospect value matrix.Combined with the advantages of VIKOR method in compromise solution,steps of intuitionistic trapezoidal fuzzy multi-attribute decision-making based on prospect theory and VIKOR are given.The case analysis shows that this method has good stability and reliability in distance measurement and scheme evaluation.

关 键 词：多属性决策 前景理论 直觉梯形模糊数 VIKOR方法 

分 类 号：C934[经济管理—管理学]