灰色随机多准则决策的优劣势排序法

针对准则值具有灰色性和随机性两种信息不确定的多准则决策问题,提出一种灰色随机多准则决策方法.通过对灰数与白数比较的定义,将随机支配规则推广到对灰色随机变量型准则值的处理中,得出方案之间的随机支配关系;利用一般性准则对该随机支配关系进行转换,构建出优势矩阵和劣势矩阵,得出每一方案的优势流和劣势流,进而确定出方案的排序.最后通过算例说明了所提出方法的可行性和有效性.

Superiority and inferiority ranking method for grey stochastic multi-criteria decision-making

For the multi-criteria decision-making problems in which the criteria value of alternatives is in the form of grey as well as stochastic,a grey stochastic multi-criteria decision-making approach is proposed by combining the stochastic dominance method and the superiority and inferiority ranking method together.In this method,as the comparison rule for grey number and white number is defined,the stochastic dominance method can be extended to handle the criteria value which is in the form of grey random varia...