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On topology of pairwise comparison matrices

Year: 2025

Type: article

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.

Source: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

DOI: 10.31801/cfsuasmas.1542622

Authors: Selcuk Koyuncu, Ali Mryr Ahamad, Cenap Özel

Institutions: University of North Georgia, Jazan University, King Abdulaziz University

Language: English

Topic: Multi-Criteria Decision Making

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: diamond

Funder: King Abdulaziz University

OpenAlex ID: W4411448314

FWCI:

Cites: 9

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Related to: 10