针对属性值为随机变量的多属性决策问题,提出了一种随机多属性决策分析方法。首先给出了随机占优准则的描述,并提出了随机占优度的定义及其计算公式;然后,依据随机占优准则判断并确定两两方案之间比较所具有的占优关系,进而计算得到两两方案之间的随机占优度,进一步地通过计算可以得到每个方案的总体相对随机优势程度,并得到所有方案的排序结果。最后,通过一个算例说明了该方法的可行性和有效性。
This paper proposes a method for stochastic multiple attribute decision making problems,where attribute values are in the form of stochastic variables.Firstly,the related description of stochastic dominance rules are given,and the definition and the calculation formula of the stochastic dominance degree are proposed.Then,dominance relations on pairwise comparisons of alternatives are established using stochastic dominance rules,after that,stochastic dominance degrees of alternative pairs are calculated.Furthermore,total relative stochastic dominance degree of each alternative is calculated to obtain the ranking of alternatives.Finally,a numerical example is used to illustrate the feasibility and validity of the proposed method.