Computationally efficient orthogonalization for pairwise comparisons method

Julio Benítez, Waldemar W. Koczkodaj and Adam Kowalczyk

Applied Mathematics and Computation, 2024, vol. 473, issue C

Abstract: Orthogonalization is one of few mathematical methods conforming to mathematical standards for approximation. Finding a consistent PC matrix of a given an inconsistent PC matrix is the main goal of a pairwise comparisons method. We introduce an orthogonalization for pairwise comparisons matrix based on a generalized Frobenius inner matrix product. The proposed theory is supported by numerous examples and visualizations.

Keywords: Pairwise comparison; Orthogonalization; Orthogonal basis; Inner matrix product; Approximation; Group theory (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:473:y:2024:i:c:s0096300324001231

DOI: 10.1016/j.amc.2024.128651

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