Pairwise comparison (PC) is a well-established method to assist decision makers in estimating their preferences. In PCs, the acquired judgments are used to construct a PC matrix (PCM) that is used to check whether the inconsistency in judgments is acceptable or requires revision. The use of...

The eigenvector method (EM) is well-known to derive information from pairwise comparison matrices in decision making processes. However, this method is logically incomplete since its actual numerical error is unknown and its reliability is doubted by such phenomena as “right–left...

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...