基于前景理论和VIKOR的风险型模糊多准则决策方法

Risky fuzzy multi-criteria decision method based on prospect theory and VIKOR

针对准则值均为模糊数的风险型多准则决策问题,提出一种基于前景理论和VIKOR的多准则决策方法.首先,进行区间数、三角模糊数、梯形模糊数、直觉模糊数和语言值的无量纲化处理;然后,基于各个准则各种状态下各个方案的准则值排序,确定中位数参考点以及各个方案在各个准则下的综合前景值;接着,基于前景价值矩阵,给出基于VIKOR的扩展方法;最后,通过具体实例验证了所提出方法的有效性和可行性.

According to the multi-criteria decision making problems with fuzzy criteria values, a decision making approach based on the prospect theory and the VIKOR method is proposed. Firstly, the interval numbers, the triangular fuzzy number, the trapezoidal fuzzy number, the intuitionistic fuzzy number and the linguistic information are nondimensionalized. Then, the median reference points are given based on the order of all the alternatives with different criteria under all the conditions, thus the comprehensive prospect values of each alternative under each criterion are obtained. Furthermore, the extended VIKOR method is proposed based on the prospect value matrix. Finally, an example illustrates the feasibility and effectiveness of the proposed method.