基于前景理论的信息不完全的模糊多准则决策方法

针对准则权重不完全确定且方案的准则值为梯形模糊数的多准则决策问题,提出一种基于前景理论的模糊多准则决策方法.该方法将决策者的风险心理因素引入多准则决策,根据前景理论及模糊数距离公式,定义梯形模糊数的前景价值函数,并以此构建方案综合前景值最大化的非线性规划模型,求解模型得出最优权向量,最终确定出方案的排序.最后通过实例说明了该方法的有效性和可行性.

Multi-criteria fuzzy decision-making method based on prospect theory with incomplete information

With regard to uncertain multi-criteria decision-making problems,in which the criteria weights are incompletely certain and the criteria value of alternatives are in the form of trapezoidal fuzzy numbers,a fuzzy multi-criteria decision-making approach based on prospect theory is proposed.In this method,risk psychological factors of decision makers are introduced into multi-criteria fuzzy decision-making,and a prospect value function of trapezoidal fuzzy numbers is defined based on prospect theory and the fo...