@article{article_1542622, title={On topology of pairwise comparison matrices}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={74}, pages={346–354}, year={2025}, DOI={10.31801/cfsuasmas.1542622}, author={Koyuncu, Selcuk and Ahamad, Ali Mryr and Özel, Cenap}, keywords={Hankel matrix, Lie group, Lie algebra, pairwise comparison matrices}, abstract={The aim of this paper is to study the topology of the additive (Lie algebra) and multiplicative (Lie group) pairwise comparison matrices ($PCM$). We prove that both additive and multiplicative $PCM$ are connected while only multiplicative consistent $PCM$ is compact. We also provide that there is no upper bound for the Perron norm of an inconsistent pairwise comparison matrix.}, number={2}, publisher={Ankara University}