Characterization of an inconsistency ranking for pairwise comparison matrices
This work addresses inconsistency measurement for decision-makers using pairwise comparisons, but it is incremental as it focuses on characterizing an existing index rather than introducing a new method.
The paper tackles the problem of measuring inconsistency in pairwise comparison matrices by providing an axiomatic characterization of the inconsistency ranking induced by the Koczkodaj index, establishing a unique linear order based on six independent properties.
Pairwise comparisons between alternatives are a well-known method for measuring preferences of a decision-maker. Since these often do not exhibit consistency, a number of inconsistency indices has been introduced in order to measure the deviation from this ideal case. We axiomatically characterize the inconsistency ranking induced by the Koczkodaj inconsistency index: six independent properties are presented such that they determine a unique linear order on the set of all pairwise comparison matrices.