| 逆序和AHP加性合成规则的保序性 |
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| 引用本文： | 王明哲.逆序和AHP加性合成规则的保序性[J].华中科技大学学报(自然科学版),1998(1). |
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| 作者姓名： | 王明哲 |
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| 作者单位： | 华中理工大学自动控制工程系!430074 |
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| 摘 要： | 针对近年来众多文献所讨论的逆序问题，指出产生逆序现象的主要原因不是层次分析法的缺陷．根据同序类的概念，从理论上证明了传统层次分析法中的加性合成规则所具有的保序性，从而为层次分析法更广泛、有效地应用提供了保证．
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| 关 键 词： | AHP 逆序 同序类 加性合成 保序性 |
Rank Reversal and Rank Preservation of Additive Composition in AHP |
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| Wang Mingzhe.Rank Reversal and Rank Preservation of Additive Composition in AHP[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1998(1). |
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| Authors: | Wang Mingzhe |
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| Institution: | Wang Mingzhe |
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| Abstract: | The author's opinion is expressed on the rank reversal problem discussed recently in a large number of published papers. The main reason why the rank reversal phenomenon is occurred in the analytic hierarchy process (AHP) is the ambiguity of alternative preference order derived from the decision-maker's mind, but not the fatal flaw of the AHP itself. It is proved with the concept of rank equivalence classes that the additive composition rule of the conventional saaty's AHP is a preservative composition, which is important for the users to perform the multi-criteria ranking. |
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| Keywords: | AHP rank reversal rank equivalence classed additive composition rank preservation |
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