Benítez López, JulioKoczkodaj, WaldemarKowalczyk, Adam2025-06-062025-06-062024-07-150096-3003https://riunet.upv.es/handle/10251/221506[EN] 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.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Pairwise comparisonOrthogonalizationOrthogonal basisInner matrix productApproximationGroup theoryArtículo10.1016/j.amc.2024.128651Abierto