Some Notes on the Similarity of Priority Vectors Derived by the Eigenvalue Method and the Geometric Mean Method

This paper examines the differences in ordinal rankings obtained from a pairwise comparison matrix using eigenvalue method and geometric mean method. First, we introduce several propositions on (dis)similarity of both concerning size its inconsistency expressed by Koczkodaj's index. Further on, examine relationship between Kendall's rank correlation coefficient τ Spearman's ρ. Apart theoretical results, intuitive numerical examples Monte Carlo simulations are also provided.