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Computationally efficient orthogonalization for pairwise comparisons method (2404.15286v1)
Published 18 Mar 2024 in math.NA and cs.NA
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.