On homology groups for pairwise comparisons method

DOI10.1016/j.ins.2024.121195zbMATH Open1542.91068MaRDI QIDQ6588370

Witold Pedrycz, Waldemar W. Koczkodaj, Jacek Szybowski, Alexander Pigazzini, Yingli Song

Publication date: 15 August 2024

Published in: Information Sciences (Search for Journal in Brave)

zbMATH Keywords

homology groupinconsistencytopological data analysisfirst Betti numberpairwise comparisons method

Mathematics Subject Classification ID

Decision theory (91B06) Persistent homology and applications, topological data analysis (55N31)

Cites Work

• On reducing inconsistency of pairwise comparison matrices below an acceptance threshold
• The limit of inconsistency reduction in pairwise comparisons
• Studying a set of properties of inconsistency indices for pairwise comparisons
• On pairwise comparison matrices that can be made consistent by the modification of a few elements
• A semiring-based study of judgment matrices: properties and models
• An LP-based inconsistency monitoring of pairwise comparison matrices
• The homology of a locally finite graph with ends
• A note on the analysis of subjective judgement matrices
• An orthogonal basis for computing a consistent approximation to a pairwise comparison matrix
• A new definition of consistency of pairwise comparisons
• Computational homology
• Characterization of an inconsistency ranking for pairwise comparison matrices
• A characterization of the logarithmic least squares method
• Inconsistency reduction in decision making via multi-objective optimisation
• Reducing inconsistency measured by the geometric consistency index in the analytic hierarchy process
• On Axiomatization of Inconsistency Indicators for Pairwise Comparisons
• A lexicographically optimal completion for pairwise comparison matrices with missing entries

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