A note on the proportionality between some consistency indices in the AHP

TL;DR

This paper demonstrates proportional relationships between various consistency indices in the AHP, simplifying the evaluation process by reducing redundant measures of preference consistency.

Contribution

It proves the proportionality between certain consistency indices in AHP, clarifying their interrelations and eliminating redundancy in preference consistency assessment.

Findings

Proves proportionality between specific consistency indices in AHP.

Reduces redundancy in preference consistency evaluation.

Simplifies decision-making process in AHP by clarifying index relationships.

Abstract

Analyzing the consistency of preferences is an important step in decision making with pairwise comparison matrices, and several indices have been proposed in order to estimate it. In this paper we prove the proportionality between some consistency indices in the framework of the Analytic Hierarchy Process. Knowing such equivalences eliminates redundancy in the consideration of evidence for consistent preferences.