Axiomatization of Inconsistency Indicators for Pairwise Comparisons
Other Computer Science
2023-07-25 v4
Abstract
This study proposes revised axioms for defining inconsistency indicators in pairwise comparisons. It is based on the new findings that "PC submatrix cannot have a worse inconsistency indicator than the PC matrix containing it" and that there must be a PC submatrix with the same inconsistency as the given PC matrix. This study also provides better reasoning for the need of normalization. It is a revision of axiomatization by Koczkodaj and Szwarc, 2014 which proposed axioms expressed informally with some deficiencies addressed in this study.
Keywords
Cite
@article{arxiv.1509.03781,
title = {Axiomatization of Inconsistency Indicators for Pairwise Comparisons},
author = {W. W. Koczkodaj and J. -P. Magnot},
journal= {arXiv preprint arXiv:1509.03781},
year = {2023}
}
Comments
Project aborted, not published