Computationally efficient orthogonalization for pairwise comparisons method
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911851236818944 |
|---|---|
| author | Benitez, Julio Koczkodaj, Waldemar W. Kowalczyk, Adam |
| author_facet | Benitez, Julio Koczkodaj, Waldemar W. Kowalczyk, Adam |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15286 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computationally efficient orthogonalization for pairwise comparisons method Benitez, Julio Koczkodaj, Waldemar W. Kowalczyk, Adam Numerical Analysis 65F25 G.m; F.m 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. |
| title | Computationally efficient orthogonalization for pairwise comparisons method |
| topic | Numerical Analysis 65F25 G.m; F.m |
| url | https://arxiv.org/abs/2404.15286 |