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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.
Aiming at the multi-criteria decision-making problem with uncertain gray information and randomness, this paper proposes a gray stochastic multi-criteria decision-making method. By the definition of gray number and white number, the stochastic dominance rule is generalized to the gray random In the process of variable-type guideline value, we get the stochastic dominance relation between the schemes. By using the general criteria, we convert the stochastic dominance relation to construct the dominant matrix and inferior matrix, and obtain the dominant flow and inferior flow of each scheme. And then determine the order of the program.Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method.