考虑指标期望的个体与协同多指标决策方法

Method for individual and collaborative multiple attribute decision making considering attribute aspirations

针对决篡者给出指标期望的个体与协同多指标决策问题,提出了一种决策分析方法.在该方法中,依据前景理论,将决策者给出的个体与协同指标期望视为参照点,分别计算各方案针对个体指标的个体前景价值和针对协同指标的协同前景价值,并基于得到的个体与协同前景价值,分别计算个体指标集与协同指标集的综合权重,进而构建总体加权前景价值矩阵,在此基础上,依据TOPSIS的基本思想,通过计算各方案与正负理想点向量的距离,进而得到各方案的相似系数,并依据相似系数的大小对各方案进行排序.最后,通过一个算例说明了该方法的可行性.

This paper proposes a method for the individual and collaborative multiple attribute decision making problem considering attribute aspirations. First, according to the prospect theory, the individual and collaborative attribute aspirations given by the decision maker are regarded as the reference points. Then the individual prospect values of each alternative with regard to all individual attributes and the collaborative prospect values of each alternative with regard to all collaborative attributes are calculated respectively. According to the individual and collaborative prospect values, the comprehensive weights of the individual and collaborative attribute set are calculated respectively. Then the overall weighted prospect value matrix is constructed. On this basis, according to the basic idea of TOPSIS, the distance between each alternative and the positive ideal point vector （negative ideal point vector） is calculated, and the similarity coefficient of each alternative can be obtained. The ranking result of the all alternatives can be determined. Finally, a numerical example is used to illustrate the feasibility of the proposed method.