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Processing information, acquired by subjective assessments, involvesinconsistency analysis in most (if not all) applications of which some are ofconsiderable importance at a national level (see, Koczkodaj/Kulakowski/Ligenza,Scientometrics, 99(3): 911-926, 2014)A triad inconsistency axiomatization inpairwise comparisons was informally proposed in Koczkodaj/Szwarc, FUNDAMENTAINFORMATICAE, 132(4): 485-500, 2014. This study, rectifies it by the use of thedistance and theoretical proofs. Three key properties of the indicator arepresented in this study and illustrated by several examples.

The key properties of inconsistency indicators for a triad in pairwise comparison matrices