Computationally efficient orthogonalization for pairwise comparisons method
arXiv:2404.15286 · doi:10.1016/j.amc.2024.128651
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.
online, submitted as 22 pages and 2 figures