Issue: 2018/Vol.28/No.1, Pages 27-42
SOME NOTES ON THE PROPERTIES OF INCONSISTENCY INDICES IN PAIRWISE COMPARISONS
Jiří Mazurek
Cite as: J. Mazurek. Some notes on the properties of inconsistency indices in pairwise comparisons. Operations Research and Decisions 2018: 28(1), 27-42. DOI 10.5277/ord180102
Abstract
Pairwise comparisons are an important tool of modern (multiple criteria) decision making. Since human judgments are often inconsistent, many studies have focused on the means of expressing and measuring this inconsistency, and several inconsistency indices have been proposed as an alternative to Saaty’s inconsistency index, CI, and consistency ratio, CR, for reciprocal pairwise comparison matrices. The aims of this paper are threefold: firstly, a row inconsistency index (RIC) is proposed and the properties of this index are examined. Secondly, a comparison of selected inconsistency indices for a corner pairwise comparison matrix is provided. Last, but not least, another axiom about the upper bound on the value of an inconsistency index is postulated, and a set of selected inconsistency indices is examined with respect to this axiom. Numerical examples complete the paper.
Keywords: pairwise comparisons, AHP, inconsistency, inconsistency index, axioms of inconsistency
Received: 16 October 2017 Accepted: 5 April 2018