On the spectrum of pairwise comparison matrices

DOI10.1016/j.laa.2003.12.034zbMath1061.15008OpenAlexW2074898807MaRDI QIDQ1827515

András György, András Farkas, Pál Rózsa

Publication date: 6 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.12.034

zbMATH Keywords

analytic hierarchy processspectral decompositionsymmetrically reciprocal matrixtransitive matrixPerron-eigenvectorpseudo-circulant matrixvehicle system dynamics

Mathematics Subject Classification ID

Decision theory (91B06) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (3)

Reciprocal matrices: properties and approximation by a transitive matrix ⋮ Further analysis on matrix operation of AHP ⋮ A sensitivity analysis algorithm for hierarchical decision models

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• A Graphical Analysis of Ratio-Scaled Paired Comparison Data
• Consistency adjustments for pairwise comparison matrices
• The description of road surface roughness
• On the spectrum and pseudoinverse of a special bordered matrix
• Data perturbations of matrices of pairwise comparisons

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