2022/03/11 by Jiří Mazurek, Konrad Kułakowski, Mazurek, Jiří +5
Decision Sciences · #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Multi-Criteria Decision Making #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.2203.06221
openalex publication_date 2022/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper examines the differences in ordinal rankings obtained from a pairwise comparison matrix using the eigenvalue method and the geometric mean method. First, we introduce several propositions on the (dis)similarity of both rankings concerning 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 also provided.