基于前景理论的具有指标期望的多指标决策方法

针对决策者给出单一与组合指标期望情形的多指标决策问题, 提出一种基于前景理论的决策分析方法. 首先, 依据前景理论将决策者给出的指标期望视为参照点, 分别计算各方案针对各单一与各组合指标期望的前景价值,并构建各方案的综合前景价值向量; 然后, 将原始决策问题转化为相应的广义优序模糊约束满意问题(GPFCSP), 进而计算各方案针对相应推理准则的总体满意度, 并据此对各方案进行排序; 最后, 通过算例表明了该方法的可行性.

Multiple attribute decision making considering attribute aspirations: A method based on prospect theory

A method based on the prospect theory is proposed to solve the multiple attribute decision making problem in which single and combination attribute aspirations are provided by the decision-maker. Firstly, according to the prospect theory, the attribute aspirations given by the decision-maker are regarded as the reference points. Then the prospect values of each alternative with regard to all single and combination attribute aspirations are calculated, respectively, and the comprehensive prospect value vector concerning each alternative is constructed. Based on this, the original decision problem is converted into the corresponding generalized prioritized fuzzy constraint satisfaction problem (GPFCSP). Further, the overall satisfaction degree of each alternative with regard to the corresponding reasoning standard is calculated, and the ranking of all alternatives can be determined. Finally, a numerical example is used to illustrate the feasibility of the proposed method.