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

By C. B. E. Costa, Jean-Claude Vansnick. European Journal of Operational Research, 2008

357 citations recorded by the source corpus.

Subfields: Ecological Modeling, Management Science and Operations Research, Safety, Risk, Reliability and Quality

View Paper: https://www.semanticscholar.org/paper/034b413e36d121e485bee208edec7c6c470f6fc4

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In Ecological Modeling

In Management Science and Operations Research

In Safety, Risk, Reliability and Quality

Citations in the corpus

CLUSTERS AND PIVOTS FOR EVALUATING A LARGE NUMBER OF ALTERNATIVES IN AHP (2012, background): “The consistency check has been criticized because it allows contradictory judgements in matrices (Kwiesielewicz & van Uden, 2004; Bana e Costa & Vansnick, 2008) or rejects reasonable matrices (Karapetrovic & Rosenbloom, 1999).”
Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment (2011, methodology): “AHP has been extensively applied by academics and professionals [12,14–20].”
Introduction to the Analytic Hierarchy Process (2014, methodology): “Bana e Costa and Vansnick [41] also moved a criticism against the eigenvector method based on what they called the condition of order preservation (COP).”
Review of the main developments in the analytic hierarchy process (2011, background): “This consistency index has been criticised because it allows contradictory judgements in matrices (Bana e Costa & Vansnick, 2008; Kwiesielewicz & van Uden, 2004) or rejects reasonable matrices (Karapetrovic & Rosenbloom, 1999).”
The state of the art development of AHP (1979–2017): a literature review with a social network analysis (2017, methodology): “For example, conditions for order preservation (COP) is highlighted by Bana e Costa and Vansnick (2008) and further conceptualised by Kułakowski (2015) who proposed precise criteria for determining when the COP are met.”
Silage corn production in conventional and conservation tillage systems. Part I: Sustainability analysis using combination of GIS/AHP and multi-fuzzy modeling (2014, methodology): “It should also be considered that there may be some errors in the prioritized vector derived from the principal eigenvalue method used in AHP (Bana e Costa and Vansnickc, 2008).”
Analytic Hierarchy Process and Expert Choice: Benefits and limitations (2009, background): “However, this consistency ratio has been criticized because it allows contradictory judgements in matrices (Kwiesielewicz and van Uden, 2004; Bana e Costa and Vansnick, 2008) or rejects reasonable matrices (Karapetrovic and Rosenbloom, 1999).”