节点文献
层次结构综合评判中各种递结算子保序性研究
Research on keep-order characteristics of functional operators of integrated assessment for hierarchy process
【摘要】 针对综合评判方法中常用的层次分析法,在分析常见逆序问题的基础上,提出层次分析法的递结算子的概念,给出满足严格保序性的5个基本条件.对常见递结算子(权重综合评判算子)的保序性进行研究,并证明加权乘积法是符合所有5种保序条件的算子,为综合评价方法中递结算子的合理选择提供了依据.
【Abstract】 For studying the inversed-order problem of the analytic hierarchy process(AHP) commonly used,the definition of a functional operator and five essential keep-order requirements are presented.Furthermore,keep-order characteristics of frequently used functional operators(weighted operators for synthesizing judgments) is researched.It is proved that weighted product technique is one that meets all five keep-order requirements.The research supplies references for the selection of functional operators in synthesizing judgments.
【关键词】 层次分析法；
保序性；
递结算子；
保序条件；
权重综合评判算子；
【Key words】 AHP； Keep-order characteristic； Functional operators； Keep-order requirements； Weighted operators for synthesizing judgments；
【Key words】 AHP； Keep-order characteristic； Functional operators； Keep-order requirements； Weighted operators for synthesizing judgments；
【基金】 国家“十一五”科技支撑计划项目(2006BAJ13B04,2006BAJ04A03,2006BAJ06B01,2006BAJ06B06);国家自然科学基金项目(50478114);北京市博士基金项目;建设部重点项目
- 【文献出处】 控制与决策 ,Control and Decision , 编辑部邮箱 ,2007年08期
- 【分类号】N945.1
- 【被引频次】11
- 【下载频次】191