属性具有线性优先级的区间数多属性决策方法  

Approach For Linear Prioritized Multiple Attribute Decision-Making with Interval Numbers

作　　者：陶长琪[1] 凌和良[1,2] 

机构地区：[1]江西财经大学信息管理学院,江西南昌330032 [2]南昌工程学院理学系,江西南昌330099

出　　处：《数学的实践与认识》2015年第4期177-185,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71073073)

摘　　要：针对属性具有线性优先级、属性值为区间数的多属性决策问题进行了决策方法的研究.在属性权重的确定上,采用低级属性的权重值由所有比其高级属性效用值的乘积,并引入决策者的风险态度因子将区间数映射成点值,再经过规范化后得到.接着,给出了属性具有线性优先级的、属性值为区间数的加权算术平均算子,讨论了该算子的相关性质.最后,利用算子对具有线性优先级的区间数多属性决策问题进行算例分析,结果说明方法是有效的.In this paper, we presented approach ibr linear pmorx^lzeo mut^xv^c ~ decision-making with interval numbers. Prioritization between attribute is modeled by making the lower priority attribute weights dependent on the value of the higher priority attribute, by coefficient of risk attitude factor, interval attribute weights is mapped into point value. Then, we proposed linear prioritized weighted averaging aggregation with interval numbers,and discussed its property. Finally, a practicM example is provided to illustrate the method.

关 键 词：多属性决策 线性优先级 区间数 加权算术平均算子 

分 类 号：C934[经济管理—管理学] O225[理学—运筹学与控制论]