Print Email Facebook Twitter Correcting Illegitimate Rank Reversals: Proper Adjustment of Criteria Weights Prevent Alleged AHP Intransitivity Title Correcting Illegitimate Rank Reversals: Proper Adjustment of Criteria Weights Prevent Alleged AHP Intransitivity Author Wijnmalen, D.J.D. Wedley, W.C. TNO Defensie en Veiligheid Publication year 2009 Abstract This note comments on a paper by Triantaphyllou (J. Multi-Crit. Decis. Anal. 2001; 10: 11–25) that attempts to demonstrate new types of rank reversal that can occur with the analytic hierarchy process (AHP). He contends that the reversals are attributable to the various types of normalization that are used with the addition step in AHP synthesis. His paper goes on to suggest that the multiplicative AHP should be used instead. This note shows that the cause of the problem is another one: AHP’s independence axiom, which prohibits adjusting the criteria weights when the set of alternatives or the type of normalization change. If the criteria weights are adjusted properly, none of the rank reversals will occur Subject Operations ResearchAnalytic hierarchy processCommensurabilityIndependence axiomRank reversalDecision making To reference this document use: http://resolver.tudelft.nl/uuid:93449c2e-b6c9-4af0-a06f-3760e5e3504b DOI https://doi.org/10.1002/mcda.431 TNO identifier 242082 Source Journal of Multi-Criteria Decision Analysis, 15 (5/6), 135-141 Document type article Files To receive the publication files, please send an e-mail request to TNO Library.