| A PRACTICAL METHOD FOR IMPROVING CONSISTENCY OF JUDGEMENT MATRIX IN THE AHP |
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| 引用本文： | XU Zeshui (Institute of Sciences,PLA University of Science and Technology,Nanjing 210007,China). A PRACTICAL METHOD FOR IMPROVING CONSISTENCY OF JUDGEMENT MATRIX IN THE AHP[J]. 系统科学与复杂性, 2004, 17(2): 169-175 |
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| 作者姓名： | XU Zeshui (Institute of Sciences PLA University of Science and Technology Nanjing 210007 China) |
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| 作者单位： | Institute of Sciences，PLA University of Science and Technology，Nanjing 210007，China |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China under Project 79970093,，the Ph.D. Dissertation Foundation of Southeast University-NARI-Relays Electric Co. Ltd. |
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| 摘 要： | In this paper, an approach to improving consistency of judgement matrix in the Analytic Hierarchy Process (AHP) is presented, which utilizes the eigenvector to revise a pair of entries of judgement matrix each time. By using this method, any judgement matrix with a large C.R. can be modified to a matrix which can both tally with the consistency requirement and reserve the most information that the original matrix contains. An algorithm to derive a judgement matrix with acceptable consistency (i.e., C.R. < 0.1) and two criteria of evaluating modificatory effectiveness are also given.
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| 关 键 词： | 一致性 判定矩阵 层次分析法 AHP 加权算术平均形式 |
A PRACTICAL METHOD FOR IMPROVING CONSISTENCY OF JUDGEMENT MATRIX IN THE AHP |
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| XU Zeshui. A PRACTICAL METHOD FOR IMPROVING CONSISTENCY OF JUDGEMENT MATRIX IN THE AHP[J]. Journal of Systems Science and Complexity, 2004, 17(2): 169-175 |
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| Authors: | XU Zeshui |
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| Abstract: | In this paper, an approach to improving consistency of judgement matrix in the Analytic Hierarchy Process (AHP) is presented, which utilizes the eigenvector to revise a pair of entries of judgement matrix each time. By using this method, any judgement matrix with a large C.R. can be modified to a matrix which can both tally with the consistency requirement and reserve the most information that the original matrix contains. An algorithm to derive a judgement matrix with acceptable consistency (i.e., C.R. < 0.1) and two criteria of evaluating modificatory effectiveness are also given. |
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| Keywords: | AHP judgement matrix consistency criterion algorithm. |
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