基于累积前景理论的时间矩阵多属性综合评判模型

A Multiple Attribute Evaluation Decision Making Model of Time Sequence Matrix Based on Cumulative Prospect Theory

针对动态多属性方案排序优选决策问题,提出了一种基于累积前景理论的时间矩阵序列动态多属性综合评判系统模型。依据累积前景理论,将时间矩阵序列动态多属性决策转化为关于属性期望的益损时间矩阵序列动态决策,综合考虑各属性权重、各时间点的权重,计算各方案的最终综合前景值,并依据其大小对方案进行综合评判排序。最后给出了一个决策实例。

A multiple attribute evaluation decision making model of time sequence matrix based on cumulative prospect theory is presented to solve the dynamic multiple attribute ranking and optimization. Firstly,the time sequence decision matrix with dynamic multiple attribute is transformed into the decision matrix of gains and losses relative to the aspiration of the attribute. Then the comprehensive prospect values of each alternative are calculated with reference to the weight of attributes and time. Furthermore,the optimal scheme ranking is acquired based on the obtained values.Finally,an example is provided to illustrate the proposed model.