Axiomatization of inconsistency indicators for pairwise comparisons

This study proposes revised axioms for defining inconsistency indicators in pairwise comparisons. It includes 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. The use of normalized distance for the inconsistency at the level of a triad corrected the former insufficiency in expressing it in the 2014 study on axiomatization by Koczkodaj and Szwarc.