Boundary properties of the inconsistency of pairwise comparisons in group decisions

TL;DR

This paper analyzes how consensus and preference aggregation influence the inconsistency of group pairwise comparisons, defining boundary properties and examining their relation with various inconsistency indices to better interpret group preference inconsistencies.

Contribution

It introduces boundary properties for inconsistency indices and provides a comprehensive analysis of their relation with group preference consistency measures.

Findings

Identifies boundary properties for inconsistency indices

Analyzes relations between properties and indices

Offers insights into interpreting group preference inconsistency

Abstract

This paper proposes an analysis of the effects of consensus and preference aggregation on the consistency of pairwise comparisons. We define some boundary properties for the inconsistency of group preferences and investigate their relation with different inconsistency indices. Some results are presented on more general dependencies between properties of inconsistency indices and the satisfaction of boundary properties. In the end, given three boundary properties and nine indices among the most relevant ones, we will be able to present a complete analysis of what indices satisfy what properties and offer a reflection on the interpretation of the inconsistency of group preferences.