Some Notes on the Similarity of Priority Vectors Derived by the Eigenvalue Method and the Geometric Mean Method
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The aim of this paper is to examine the differences in ordinal rankings obtained from a pairwise comparison matrix using the eigenvalue method and the geometric mean method. We introduce several propositions on the (dis)similarity of both rankings with respect to the matrix size and its inconsistency expressed by the Koczkodaj's inconsistency index. Further on, we examine the relationship between differences in both rankings and Kendall's rank correlation coefficient τ and Spearman's rank coefficient ρ. Apart from theoretical results, intuitive numerical examples and Monte Carlo simulations are provided as well.
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