A Reexamination of Methods of Hierarchic Composition in the AHP

作     者：ZHANG Zhi-yong Economics and Management Department, Xi′an Petroleum University, Xi′an 710065, Shaanxi Province, China 

作者机构：Economics and Management Department Xi' an Petroleum University Xi'an 710065 Shaanxi Province China 

出 版 物：《Systems Science and Systems Engineering》 (系统科学与系统工程学报（英文版）)

年 卷 期：2002年第11卷第4期

页      面：503-510页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：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 

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.