A critical analysis of the eigenvalue method used to derive priorities in AHP

A lot of research has been devoted to the critical analysis of the Analytic Hierarchy Process (AHP), from various perspectives. However, as far as we know, no one has addressed a fundamental problem, discussed in this paper, concerning the meaning of the priority vector derived from the principal ei...

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Bibliographic Details
Published in:	European journal of operational research Vol. 187; no. 3; pp. 1422 - 1428
Main Authors:	Bana e Costa, Carlos A., Vansnick, Jean-Claude
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 16-06-2008 Elsevier Elsevier Sequoia S.A
Series:	European Journal of Operational Research
Subjects:	Analytic Hierarchy Process Condition of order preservation Decision analysis Eigenvalue method Eigenvalues Hierarchies Studies Analytic Hierarchy Process Condition of order preservation Decision analysis Eigenvalue method
Online Access:	Get full text
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Summary:	A lot of research has been devoted to the critical analysis of the Analytic Hierarchy Process (AHP), from various perspectives. However, as far as we know, no one has addressed a fundamental problem, discussed in this paper, concerning the meaning of the priority vector derived from the principal eigenvalue method used in AHP. The role of AHP’s consistency ratio is also analysed.
ISSN:	0377-2217 1872-6860
DOI:	10.1016/j.ejor.2006.09.022