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      On Axiomatization of Inconsistency Indicators for Pairwise Comparisons

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          Abstract

          We examine the notion of inconsistency in pairwise comparisons and propose an axiomatization which is independent of any method of approximation or the inconsistency indicator definition (e.g., Analytic Hierarchy Process, AHP). It has been proven that the eigenvalue-based inconsistency (proposed as a part of AHP) is incorrect.

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          A scaling method for priorities in hierarchical structures

          Thomas L. Saaty (1977)
          Article 0 comments Cited 1163 times – based on 0 reviews     Review now
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            A critical analysis of the eigenvalue method used to derive priorities in AHP

            Jean-Claude Vansnick, Carlos A Bana e Costa (2008)
            Article 0 comments Cited 51 times – based on 0 reviews     Review now
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              ON THE METHOD OF PAIRED COMPARISONS

              M. Kendall, B. Smith (1940)
              Article 0 comments Cited 42 times – based on 0 reviews     Review now
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                Author and article information

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                Publication date Created: 2013-07-23
                Publication date Updated: 2013-10-13
                Article
                DOI: 10.3233/FI-2014-1055
                ArXiV ID: 1307.6272
                SO-VID: 6bebee7d-8358-428a-b71a-a578f2adce09
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                ACM classes 65F30
                Report No 2013-10-04 (jrn revised submission)
                Journal reference Fundamenta Informaticae, Volume 132, Number 4 / 2014, pages 485-500
                Comments Enhanced text, with 21 pages and 3 figures, proves that arbitrarily inaccurate pairwise matrices are considered acceptable by theories with a inconsistency based on the principal eigenvalue (e.g., AHP). CPC (corner pairwise comparisons) matrix is the crucial part of this study as it invalidates any eigenvalue-based inconsistency. All comments are highly appreciated
                Categories cs.DM cs.GT

                ScienceOpen disciplines: Theoretical computer science,Discrete mathematics & Graph theory
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                ScienceOpen disciplines: Theoretical computer science, Discrete mathematics & Graph theory

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