Optimal triangular decompositions of matrices with entries from residuated lattices

DOI10.1016/j.ijar.2009.05.006zbMath1195.15011OpenAlexW2105280728MaRDI QIDQ962936

Radim Bělohlávek

Publication date: 7 April 2010

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2009.05.006

zbMATH Keywords

fuzzy logicfixed pointmatrix decompositionresiduated latticeisotone Galois connection

Mathematics Subject Classification ID

Factorization of matrices (15A23) Fuzzy logic; logic of vagueness (03B52) Lattices (06B99)

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Cites Work

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• Discovery of optimal factors in binary data via a novel method of matrix decomposition
• Concept lattices of fuzzy contexts: formal concept analysis vs. rough set theory
• A mathematical analysis of human leukocyte antigen serology
• Metamathematics of fuzzy logic
• Non-dual fuzzy connections
• Concept lattices and order in fuzzy logic
• On the fundamentals of fuzzy set theory
• Logics from Galois connections
• L-fuzzy sets
• Mathematical Fuzzy Logics
• Factor Analysis of Incidence Data via Novel Decomposition of Matrices
• Fuzzy Galois Connections
• Optimal decompositions of matrices with entries from residuated lattices
• A Generalized Concept Lattice
• Residuated Lattices
• Fuzzy closure operators