On topology of pairwise comparison matrices
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.
Authors
- Cenap Özel (ORCID: https://orcid.org/0000-0001-9673-8875)
- Selcuk Koyuncu (ORCID: https://orcid.org/0000-0001-6720-4751)
- Ali Mryr Ahamad
Institutions
- King Abdulaziz University (SA)
- Jazan University (SA)
- University of North Georgia (US)
Publication Details
- Journal
- Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
- Published
- 2025-06-19
- DOI
- https://doi.org/10.31801/cfsuasmas.1542622
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- King Abdulaziz University