Computationally efficient orthogonalization for pairwise comparisons method

DOI10.1016/j.amc.2024.128651zbMATH Open1545.91103MaRDI QIDQ6585489

Waldemar W. Koczkodaj, Adam Kowalczyk, Julio Benitez

Publication date: 12 August 2024

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

approximationorthogonalizationorthogonal basisgroup theorypairwise comparisoninner matrix product

Mathematics Subject Classification ID

Factorization of matrices (15A23) Decision theory (91B06) Monte Carlo methods (65C05)

Cites Work

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• Pairwise comparisons simplified
• An orthogonal basis for computing a consistent approximation to a pairwise comparison matrix
• A simple formula to find the closest consistent matrix to a reciprocal matrix
• Pairwise comparisons matrix decomposition into approximation and orthogonal component using Lie theory
• The linear algebra of pairwise comparisons
• Ramon Llull: from `Ars electionis' to social choice theory
• Gram-Schmidt orthogonalization: 100 years and more
• On Orthogonal Projections on the Space of Consistent Pairwise Comparisons Matrices
• Graphs and matrices

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