Two new cases of rank reversals when the AHP and some of its additive variants are used that do not occur with the multiplicative AHP

DOI10.1002/mcda.284zbMath0985.90057OpenAlexW2101042672MaRDI QIDQ2720014

Evangelos Triantaphyllou

Publication date: 26 June 2001

Published in: Journal of Multi-Criteria Decision Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mcda.284

zbMATH Keywords

analytic hierarchy processmulticriteria decision makingAHPmultiplicative AHPranking reversalsweighted product model

Mathematics Subject Classification ID

Management decision making, including multiple objectives (90B50) Production models (90B30)

Related Items (10)

Robustness to rank reversal in pairwise comparison matrices based on uncertainty bounds ⋮ On rank reversal and TOPSIS method ⋮ Evaluating the effects of uncertainty in interval pairwise comparison matrices ⋮ Analytical hierarchy process: revolution and evolution ⋮ A subgroup dominance-based benefit of the doubt method for addressing rank reversals: a case study of the human development index in Europe ⋮ Unnamed Item ⋮ Interactive consistency correction in the analytic hierarchy process to preserve ranks ⋮ On the hierarchical model PCbHA: a more general case ⋮ Correcting illegitimate rank reversals: proper adjustment of criteria weights prevent alleged AHP intransitivity ⋮ A Multiplicative Alo-group Based Hierarchical Decision Model and Application

Cites Work

• Stochastic decision making using multiplicative AHP
• Multi-criteria decision analysis via ratio and difference judgement
• Minimization approach to membership evaluation in fuzzy sets and error analysis
• Axiomatic Foundation of the Analytic Hierarchy Process
• Scale sensitivity in the multiplicative AHP and SMART
• Rank disagreement: A comparison of multi‐criteria methodologies

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