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Triantaphyllou, E. (2001). Two new cases of rank reversals when the ahp andsome of its additive variants are used that do not occurwith the multiplicative ahp. Journal of multi-criteria decision analysis, 10, 11–25. 
Added by: Klaus-admin (16 Sep 2019 18:19:31 Asia/Singapore)   
Resource type: Journal Article
BibTeX citation key: Triantaphyllou2001
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Categories: AHP/ANP
Keywords: AHP, geometric mean method, Modified AHP, Order Preservation, weakness, weighted product model (WPM), weighted sum model (WSM), weighting methods
Creators: Triantaphyllou
Collection: Journal of multi-criteria decision analysis
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Many researchers have long observed some cases in which certain ranking irregularities can occur when the original analytic hierarchy process (AHP), or some of its variants, are used. This paper presents two new categories of ranking irregularities which defy common intuition. These ranking irregularities occur when one decomposes a
decision problem into a set of smaller problems each defined on two alternatives and the same criteria as the original problem. These irregularities are possible when the original AHP, or some of its additive variants, are used. Computational experiments on random test problems and an examination of some real-life case studies
suggest that these ranking irregularities are dramatically likely to occur. This paper also proves that these ranking irregularities are not possible when a multiplicative variant of the AHP is used.
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