The key properties of inconsistency indicators for a triad in pairwise comparison matrices
Abstract
Processing information, acquired by subjective assessments, involves inconsistency analysis in most (if not all) applications of which some are of considerable importance at a national level (see, Koczkodaj/Kulakowski/Ligenza, Scientometrics, 99(3): 911-926, 2014)A triad inconsistency axiomatization in pairwise comparisons was informally proposed in Koczkodaj/Szwarc, FUNDAMENTA INFORMATICAE, 132(4): 485-500, 2014. This study, rectifies it by the use of the distance and theoretical proofs. Three key properties of the indicator are presented in this study and illustrated by several examples.
Keywords
Cite
@article{arxiv.1505.05220,
title = {The key properties of inconsistency indicators for a triad in pairwise comparison matrices},
author = {W. W. Koczkodaj and J. Szybowski},
journal= {arXiv preprint arXiv:1505.05220},
year = {2015}
}
Comments
8 pages, 14 references; creative use of the distance to define inconsistency in pairwise comparisons (project originated in 2014 but submitted for a review in July 2015)