基于方案综合评价值和效用值偏差的多属性决策方法  

Multi-attribute decision-making method based on deviation between synthesizing values and utility values on alternatives

作　　者：何霞[1] 刘卫锋[1] 

机构地区：[1]郑州航空工业管理学院数理系,郑州450015

出　　处：《应用数学与计算数学学报》2013年第3期289-294,共6页Communication on Applied Mathematics and Computation

基　　金：河南省教育厅科学技术研究重点资助项目(12B110027)

摘　　要：研究了属性权重未知、方案偏好为效用值的多属性决策问题,提出了一种多属性决策模型.首先,分析了部分文献中利用方案属性值与效用值的偏差建模求出属性权重的不合理性,以及根据方案综合评价值与效用值的偏差建模得到属性权重的合理性.然后,通过最小化方案综合评价值与效用值的偏差,建立了一个规划模型,计算出属性权重,进而利用方案综合评价值实现方案的排序择优.最后,通过一个实例说明了方法的可行性.To solve the problem of multi-attribute decision-making with attribute unknown weights and preference information on alternatives as utility values, a multi-attribute decisiommaking model is presented. The irrationality of attribute weights obtained by using deviation existed between attribute values and utility values on alternatives in some references is analyzed, and the rationality of at- tribute weights obtained by using deviation existed between synthesizing values and utility values on alternatives is explained. Then, by minimizing deviations between synthesizing values and utility values on alternatives, attribute weights are obtained by building and solving a programming model, and the rank of al- ternatives is achieved by synthesizing values on alternatives. Finally, a practical example is given to illustrate the developed method.

关 键 词：多属性决策 效用值 规划模型 属性权重 

分 类 号：O223[理学—运筹学与控制论] C934[理学—数学]