基于前景理论和证据理论的混合型多属性决策方法  

Method for hybrid multi-attribute decision making based on prospect theory and dempster- shafer theory

作　　者：靳留乾[1,2] 徐扬[2] 方新[3] 

机构地区：[1]西南交通大学经济管理学院,四川成都610031 [2]西南交通大学智能控制开发中心,四川成都610031 [3]西南交通大学交通运输与物流学院,四川成都610031

出　　处：《济南大学学报（自然科学版）》2015年第4期292-296,共5页Journal of University of Jinan(Science and Technology)

基　　金：国家自然科学基金(61175055);国家自然科学基金青年科学基金(61305074)

摘　　要：针对混合型多属性决策问题,提出基于前景理论和证据理论的决策方法。考虑属性值类型,将实数和语言变量转化为区间数形式,保留原属性值的不确定性。结合决策者的心理行为,依据前景理论和属性权重给出各方案在不同属性下的评价价值,根据证据理论将同一方案的评价价值合成得到综合评价值,按照基于可能度的区间数排序方法对方案的综合评价值进行排序,从而得到方案的排序结果。算例分析说明了该方法的可行性和有效性。A method based on prospect theory and Dempster- Shafer theory is proposed to solve hybrid multi-attribute decision making problems. In view of the type of attribute values,real numbers and linguistic variables were described in the form of interval numbers so as to retain the uncertainty of original attribute values. Considering psychological behaviors of the decision-maker,the evaluation values for each alternatives on each attribute were obtained according to the prospect theory and attribute weight. The evaluation values of the same alternative were combined to get its comprehensive evaluation value based on Dempster-Shafer theory. A ranking of alternatives was obtained by the ranking of their comprehensive evaluation values based on the possibility degree. A numerical example is used to illustrate the feasibility and validity of the proposed method.

关 键 词：混合型多属性决策 前景理论 证据理论 评价价值 综合评价值 

分 类 号：O29[理学—应用数学]