2019/12/12 by Dóra Gréta Petróczy, Petróczy, Dóra Gréta, Łászló Csató +1
Mathematics · #90B50 #91B08 #Advanced Topology and Set Theory #FOS: Mathematics #Functional Equations Stability Results #Optimization and Control (math.OC) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1912.05968
openalex publication_date 2019/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The extensively cited work of Barzilai, J. (1997): Deriving weights from pairwise comparison matrices, published in Journal of the Operational Research Society, 48(12), 1226-1232., derives the geometric mean method from two simple axioms. This note reveals that the central result of the paper called the Fundamental Theorem by the author does not hold as there exists at least one further method satisfying both requirements.