基于WC-OWA算子的随机多准则决策方法

Stochastic multi-criteria decision-making method based on WC-OWA operator

针对准则权重信息不完全确定且准则值为正态分布随机变量的多准则决策问题,提出一种基于WC-OWA算子的多准则决策方法.该方法根据正态分布3σ原则,将正态分布准则值转化为区间数,并利用连续区间有序加权平均算子集结区间数,通过方案贴近度和加权的连续区间有序加权平均算子建立非线性规划模型,利用遗传算法对模型进行求解,得到准则的最优权系数,进而确定方案的排序.实例分析表明了所提出方法的有效性和可行性.

For stochastic multi-criteria decision-making problems, in which the information on criteria＇s weights is incomplete certain and criteria＇s values of alternatives are normal distribution, a method based on WC-OWA operator is proposed. In this method, according to 3σ principle of normal distribution, the criteria^s values of alternatives are transformed into interval numbers. Interval numbers are aggregated by using C-OWA operator. By using ideal closedegree and WC-OWA operator, a nonlinear programming model is constructed . Then, the optimal criteria＇s weights are obtained by using genetic algorithms to solve the nonlinear programming model. Ranking of alternatives is performed. Finally, an example shows the feasibility and effectiveness of this method.