基于近似随机优势度的随机多属性决策方法

ASD-Degree-Based Method of Stochastic Multiattribute Decision Making

针对属性值为随机变量形式的决策问题,提出了一种随机多属性决策分析方法.首先给出了近似随机优势准则的描述及相关分析,并提出了近似随机优势度的定义和计算公式;然后,依据近似随机优势准则判断并确定两两方案之间比较所具有的优势关系,进而计算得到方案之间的近似随机优势度,并构建相应的近似随机优势度矩阵.进一步地,通过计算可以得到每个方案的总体相对近似随机优势程度,从而得到所有方案的排序结果.最后,通过一个算例说明了所给出方法的可行性和有效性.

A method of stochastic multiattribute decision making was proposed where the attribute values were in form of stochastic variables.Describing and analyzing the ASD rules,the ASD degree was defined with its calculation formula given.Then,dominance relations on pairwise comparisons of alternatives were established according to ASD rules,thus ASD degrees of alternative pairs were calculated and the ASD degree matrix with regard to each attribute was built.Furthermore, total relative ASD degree of each alternative is calculated to obtain the ranking of alternatives.A numerical example is given to illustrate the feasibility and validity of the proposed method.