基于累积前景理论的犹豫模糊TOPSIS多属性决策方法  

HESITANT FUZZY TOPSIS MULTI-ATTRIBUTE DECISION MAKING METHOD BASED ON CUMULATIVE PROSPECT THEORY

作　　者：方承武[1] 梁英平 吴凡[1] FANG Cheng-wu;LIANG Ying-ping;WU Fan(School of Management Science and Engineering,Anhui University of Technology,Maanshan 243002,China)

机构地区：[1]安徽工业大学管理科学与工程学院,安徽马鞍山243002

出　　处：《南阳理工学院学报》2019年第6期20-23,30,共5页Journal of Nanyang Institute of Technology

摘　　要：针对属性权重未知、属性值为犹豫模糊元的多属性决策问题,考虑到决策者在现实中的"有限理性",该文提出一种将累积前景理论与逼近理想解(TOPSIS)相结合的方法。首先,在决策过程中以各个方案的正、负理想解作为参照点,确定出方案的损失、收益矩阵,然后计算各方案属性的累积前景值,根据综合前景值的大小得到各个方案的优劣次序。最后,通过算例验证了该方法在实际运用过程中的可行性。This paper proposes a combination of cumulative prospect theory and approximation ideal solution(TOPSIS)for multi-attribute decision making problems with unknown attribute weights,attribute values hesitant fuzzy elements,and considering the"limited rationality"of decision makers in reality.method.Firstly,in the decision-making process,the positive and negative ideal solutions of each scheme are used as reference points to determine the loss and benefit matrix of the scheme,then calculate the cumulative foreground value of each scheme attribute,and obtain the pros and cons of each scheme according to the size of the comprehensive foreground value.order.Finally,an example is given to verify the feasibility of the method in the actual application process.

关 键 词：多属性决策 累积前景理论 犹豫模糊集 参照点 

分 类 号：F253[经济管理—国民经济]