# Studying a set of properties of inconsistency indices for pairwise comparisons

arXiv: https://arxiv.org/abs/1507.08826 · HTML: https://mlsanity.com/paper/1507.08826/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 31 Jul 2015.

## Built on by (most cited first, 3 of 3)

- [Almost optimal manipulation of a pair of alternatives](https://mlsanity.com/paper/2304.03060/) (2023)
- [Manipulation of individual judgments in the quantitative pairwise comparisons method](https://mlsanity.com/paper/2211.01809/) (2022)
- [An Overview and Comparison of Axiomatization Structures Regarding Inconsistency Indices' Properties in Pairwise Comparisons Methods](https://mlsanity.com/paper/2408.13297/) (2024)

## Abstract (arXiv)

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 its present form, two fail to satisfy some properties. An adjusted version of one index is proposed so that it fulfills them.