一种基于占优度的随机多属性决策方法  

A Method Based on Dominance Probability for Stochastic Multiple Attribute Decision Making

作　　者：姜广田[1] 樊治平[1] 张晓[1] 刘洋[1] 

机构地区：[1]东北大学工商管理学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2010年第3期448-450,456,共4页Journal of Northeastern University(Natural Science)

基　　金：国家创新研究群体科学基金资助项目(70721001);国家杰出青年科学基金资助项目(70525002);国家自然科学基金资助项目(70701008)

摘　　要：针对具有随机变量的随机多属性决策(SMADM)问题,提出了一种基于占优度的随机多属性决策方法.首先,给出了两个方案之间比较的占优度定义;然后通过计算针对每个属性的两两方案比较的占优度,构建占优度矩阵,并在此基础上,运用PROMETHEE Ⅱ方法得到方案的排序结果.结果表明,该方法具有概念清晰、计算过程简单等特点,较好地解决了运用基于随机占优准则的方法可能产生的信息损失问题.并通过一个算例说明了所提出方法的可行性和有效性.Proposes a method based on dominance probability for SMADM with random variables.The dominance probability of pairwise comparison of alternatives is defined and calculated to frame a dominance probability matrix,where both attributes of the alternatives are taken into account.Then,the PROMETHEE II method is used to result in ranking the alternatives.The proposed method is clear in concept and easy to calculate,thus solving well the problem of possible data loss due to the method based on stochastic dominance criterion.A numerical example is taken to illustrate the feasibility and validity of the proposed method.

关 键 词：随机多属性决策 随机变量 占优度 PROMETHEE Ⅱ 方案排序 

分 类 号：C934[经济管理—管理学]