基于后悔理论的具有期望水平的直觉语言多准则决策方法

针对准则具有期望水平的直觉语言多准则决策问题, 考虑决策者后悔规避的心理行为特征, 提出一种基于后悔理论的决策方法. 该方法利用期望效用函数构建各准则值的效用值矩阵; 利用后悔-欣喜函数构建各准则值相对于准则期望水平的后悔-欣喜值矩阵; 在此基础上, 依据后悔理论构建各准则值相对于准则期望水平的感知价值矩阵; 进一步, 利用线性加权法计算各方案的综合感知价值, 并确定方案排序. 最后通过实例分析表明了所提出方法的可行性和有效性.

Approach to intuitionistic linguistic multi-criteria decision making with aspiration levels on criteria based on regret theory

For intuitionistic linguistic multi-criteria decision making problems with aspiration levels on criteria, a decision making method based on the regret theory is presented considering the psychological behavior of regret aversion of decision makers. The utility value matrix of all criterion values is constructed by using the expected utility function. Then, the regret-rejoice value matrix of all criterion values relative to the aspiration levels on criteria is built by using the regret-rejoice function. On the basis of these, the perceived value matrix of all criterion values relative to the aspiration levels on criteria is set up according to the regret theory. Furthermore, the comprehensive perceived values of alternatives are calculated by using the linear weighted method, and the ranking of alternatives is determined. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.