Boundary properties of the inconsistency of pairwise comparisons in group decisions
This work addresses the problem of ensuring consistent group decisions in fields like social choice and operations research, but it appears incremental as it builds on existing inconsistency indices without introducing new methods.
The paper analyzes how consensus and preference aggregation affect the consistency of pairwise comparisons in group decisions, defining boundary properties for inconsistency and examining their relationship with nine established inconsistency indices to determine which indices satisfy which properties.
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.