| 层次结构综合评判中各种递结算子保序性研究 |
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| 引用本文： | 马东辉,郭小东,周锡元. 层次结构综合评判中各种递结算子保序性研究[J]. 控制与决策, 2007, 22(8): 873-877 |
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| 作者姓名： | 马东辉 郭小东 周锡元 |
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| 作者单位： | 北京工业大学,抗震减灾研究所,北京,100022;北京工业大学,抗震减灾研究所,北京,100022;中国建筑科学研究院,北京,100013 |
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| 基金项目： | 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. |
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| 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．
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| 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 |
| 文章编号： | 1001-0920（2007）08-0873-05 |
| 收稿时间： | 2006-04-11 |
| 修稿时间： | 2006-04-112006-07-05 |
Research on keep-order characteristics of functional operators of integrated assessment for hierarchy process |
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| MA Dong-hui,GUO Xiao-dong,ZHOU Xi-yuan. Research on keep-order characteristics of functional operators of integrated assessment for hierarchy process[J]. Control and Decision, 2007, 22(8): 873-877 |
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| Authors: | MA Dong-hui GUO Xiao-dong ZHOU Xi-yuan |
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| Affiliation: | 1. Institute of Earthquake Engineering, Beijing University of Technology, Beijing 100022, China; 2. China Academy of Building Research, Beijing 100013, China |
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| 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. |
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| Keywords: | AHP Keep-order characteristic Functional operators Keep-order requirements Weighted operators for synthesizing judgments |
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