Studying a set of properties of inconsistency indices for pairwise comparisons

Research output: Contribution to journalArticleScientificpeer-review


  • Matteo Brunelli

Research units


Pairwise comparisons between alternatives are a well-established tool to decompose decision problems into smaller and more easily tractable sub-problems. However, due to our limited rationality, the subjective preferences expressed by decision makers over pairs of alternatives can hardly ever be consistent. Therefore, several inconsistency indices have been proposed in the literature to quantify the extent of the deviation from complete consistency. Only recently, a set of properties has been proposed to define a family of functions representing inconsistency indices. The scope of this paper is twofold. Firstly, it expands the set of properties by adding and justifying a new one. Secondly, it continues the study of inconsistency indices to check whether or not they satisfy the above mentioned properties. Out of the four indices considered in this paper, in their present form, two fail to satisfy some properties. An adjusted version of one index is proposed so that it fulfills them.


Original languageEnglish
Pages (from-to)143–161
JournalAnnals of Operations Research
Issue number1-2
Publication statusPublished - Jan 2017
MoE publication typeA1 Journal article-refereed

    Research areas

  • Analytic hierarchy process, Consistency, Inconsistency indices, Pairwise comparisons

ID: 2096427