| A Reexamination of Methods of Hierarchic Composition in the AHP |
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| 作者姓名： | ZHANGZhi－yong |
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| 作者单位： | ZHANG Zhi-yong Economics and Management Department，Xi′an Petroleum University，Xi′an 710065，Shaanxi Province，China |
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| 摘 要： | 1 IntroductionHierarchic composition orpriority synthesis is an importantstep of the Analytic HierarchyProcess ( AHP) .The original method used in the AHP( Saaty,1977) to conducthierarchic composition is the weighted arithmetic mean.Since the weighted a…
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| 关 键 词： | 多重标准分析 决策论 综合优先 加权几何平均 加权算术平均 解析分层过程 |
A Reexamination of Methods of Hierarchic Composition in the AHP |
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| ZHANG Zhi-yong.A Reexamination of Methods of Hierarchic Composition in the AHP[J].Journal of Systems Science and Systems Engineering,2002,11(4):503-510. |
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| Authors: | ZHANG Zhi-yong |
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| Abstract: | This paper demonstrates that we should use two different hierarchic composition methods for the two different types of levels in the AHP. The first method is using the weighted geometric mean to synthesize the judgments of alternative-type-level elements, which is the only hierarchic composition method for the alternative-type level in an AHP hierarchy, and the rank is preserved automatically. The second one is using the weighted arithmetic mean to synthesize the priorities of the criteria-type-level elements, which is the only hierarchic composition method for all the criteria-type levels, and rank reversals are allowed. |
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| Keywords: | analytic hierarchy process multicriteria analysis decision theory hierarchic composition priority synthesis rank preservation and reversal of the soil thermodynamic parameters such as the soil thermal conductivity soil heat capacity so |
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