# On normalization of inconsistency indicators in pairwise comparisons

## TL;DR

This paper justifies the normalization of inconsistency indicators in pairwise comparisons to the [0,1] range, discusses related issues, and introduces a new paradox of infinity.

## Contribution

It provides mathematical and practical justification for normalization and describes a novel paradox related to inconsistency measures.

## Key findings

- Normalization to [0,1] is justified mathematically and practically.
- Problems arise from lack of normalization.
- A new paradox of infinity is introduced.

## Abstract

In this study, we provide mathematical and practice-driven justification for using $[0,1]$ normalization of inconsistency indicators in pairwise comparisons. The need for normalization, as well as problems with the lack of normalization, are presented. A new type of paradox of infinity is described.