Computationally efficient orthogonalization for pairwise comparisons method
Numerical Analysis
2024-04-25 v1 Numerical Analysis
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.
Cite
@article{arxiv.2404.15286,
title = {Computationally efficient orthogonalization for pairwise comparisons method},
author = {Julio Benitez and Waldemar W. Koczkodaj and Adam Kowalczyk},
journal= {arXiv preprint arXiv:2404.15286},
year = {2024}
}
Comments
online, submitted as 22 pages and 2 figures