Ranking by eigenvector versus other methods in the analytic hierarchy process

DOI10.1016/S0893-9659(98)00068-8zbMath0942.91020OpenAlexW2007209794MaRDI QIDQ1808655

Publication date: 24 August 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00068-8

zbMATH Keywords

decision making eigenvector transitivity pairwise comparison matrix counter-examples logarithmic least squares correct ranking

Mathematics Subject Classification ID

Decision theory (91B06)

Related Items

Hesitant analytic hierarchy process ⋮ The harmonic consistency index for the analytic hierarchy process ⋮ Relationship between priority ratios disturbances and priority estimation errors ⋮ Robustness to rank reversal in pairwise comparison matrices based on uncertainty bounds ⋮ The weighted sum method for multi-objective optimization: new insights ⋮ A note on ``A new approach for weight derivation using data envelopment analysis in the analytic hierarchy process ⋮ Evaluating the effects of uncertainty in interval pairwise comparison matrices ⋮ Eigenproblem driven triangular fuzzy analytic hierarchy process ⋮ A proportional linguistic distribution based model for multiple attribute decision making under linguistic uncertainty ⋮ Further analysis on matrix operation of AHP ⋮ Achieving matrix consistency in AHP through linearization ⋮ Optimal inconsistency repairing of pairwise comparison matrices using integrated linear programming and eigenvector methods ⋮ A generalization of the Thurstone method for multiple choice and incomplete paired comparisons ⋮ A comparative study of the numerical scales and the prioritization methods in AHP ⋮ A critical analysis of the eigenvalue method used to derive priorities in AHP ⋮ Analysis of benefits, opportunities, costs, and risks (BOCR) with the AHP-ANP: a critical validation ⋮ Group decision support for hazards planning and emergency management: a group analytic network process (GANP) approach ⋮ Matrices with eigenvectors in a given subspace ⋮ Inconsistency in the ordinal pairwise comparisons method with and without ties ⋮ Aggregation of direct and indirect judgments in pairwise comparison matrices with a re-examination of the criticisms by Bana e Costa and Vansnick ⋮ Multicriteria analysis of the quality of teaching process in higher education: how to evaluate implementation of critical thinking ⋮ Decision-making with the AHP: Why is the principal eigenvector necessary

Cites Work