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A Reexamination of Methods of Hierarchic Composition in the AHP

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A Reexamination of Methods of Hierarchic

Composition in the AHP

ZHANG Zhi-yong

【期刊名称】《系统科学与系统工程学报(英文版)》 【年(卷),期】2002(011)004

【摘要】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.

【总页数】8页(503-510)

【关键词】analytic hierarchy process;multicriteria analysis;decision theory;hierarchic composition;priority synthesis;rank preservation and reversal

【作者】ZHANG Zhi-yong

【作者单位】Economics and Management Department, Xi' an Petroleum University, Xi'an 710065, Shaanxi Province, China

A Reexamination of Methods of Hierarchic Composition in the AHP

AReexaminationofMethodsofHierarchicCompositionintheAHPZHANGZhi-yong【期刊名称】《系统科学与系统工程学报(英文版)》【年(卷),期】2002(011)004【摘要】Thispaperdemonstratesthatwes
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