On the order of the preference intensities in fuzzy AHP
Computers and Industrial Engineering
On rank reversal in decision analysis
Mathematical and Computer Modelling: An International Journal
A Semiring-based study of judgment matrices: properties and models
Information Sciences: an International Journal
Information Sciences: an International Journal
The optimal group consensus deviation measure for multiplicative preference relations
Expert Systems with Applications: An International Journal
A linear programming approximation to the eigenvector method in the analytic hierarchy process
Information Sciences: an International Journal
Measure of inconsistency for the potential method
MDAI'12 Proceedings of the 9th international conference on Modeling Decisions for Artificial Intelligence
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In a recent paper by Bana e Costa and Vansnick [C.A. Bana e Costa, J.C. Vansnick, A critical analysis of the eigenvalue method used to derive priorities in AHP, European Journal of Operational Research 187 (3) (2008) 1422-1428], analytic hierarchy process (AHP), particularly its eigenvector method (EM) used for deriving priorities from pairwise comparison matrices, was criticized for the violation of a so-called condition of order preservation (COP). Due to this violation, the EM was considered to have a serious fundamental weakness which makes the use of AHP as a decision support tool very problematic. The consistency ratio (CR) index in the AHP was also criticized for its failure to act as an alert of this violation of COP. In this paper, we look into decision makers' overall judgments which can be obtained through the aggregation of their direct and indirect judgments and then re-examine Bana e Costa and Vansnick's numerical examples with a detailed analysis to show the invalidity of their criticisms.