  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.
