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Characterization of an inconsistency ranking for pairwise comparison matrices

2016/10/31 by László Csató · 1 citation
Computer Science · #cs.AI #msc:90B50 #msc:91B08

paper · pdf · doi:10.1007/s10479-017-2627-8

published as Annals of Operations Research, 261(1-2): 155-165, 2018 · 13 pages

arxiv created 2017/06/12 · arxiv updated 2019/06/20

Abstract

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.

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