The key properties of inconsistency indicators for a triad in pairwise comparison matrices
arXiv:1505.05220
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.
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)