Rank reversals appearing in AHP are discussed. It is proved with examples that they are in certain degree universal in the process of decision making. The mechanism of rank reversal is expounded. It is believed that...Rank reversals appearing in AHP are discussed. It is proved with examples that they are in certain degree universal in the process of decision making. The mechanism of rank reversal is expounded. It is believed that rank reversal can not deny the reasonableness of AHP and the axioms of independences of irrelevant alternatives.展开更多
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 judgmen...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.展开更多
文摘Rank reversals appearing in AHP are discussed. It is proved with examples that they are in certain degree universal in the process of decision making. The mechanism of rank reversal is expounded. It is believed that rank reversal can not deny the reasonableness of AHP and the axioms of independences of irrelevant alternatives.
文摘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.
