Strong regularity of matrices in general max-min algebra

DOI10.1016/S0024-3795(03)00462-2zbMath1030.15016OpenAlexW1973167345MaRDI QIDQ1406294

Martin Gavalec, Ján Plavka

Publication date: 9 September 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(03)00462-2

zbMATH Keywords

strong regularityfuzzy algebramax-min algebra

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear equations (linear algebraic aspects) (15A06) Fuzzy algebraic structures (08A72)

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Cites Work

• Unnamed Item
• Unnamed Item
• Linear independence in bottleneck algebras
• Strong regularity of matrices in a discrete bottleneck algebra
• Strong linear independence in bottleneck algebra
• Minimax algebra
• Strong regularity of matrices -- a survey of results
• Solvability and unique solvability of max-min fuzzy equations
• Strong regularity of matrices in a discrete bounded bottleneck algebra
• Unique solvability of max-min fuzzy equations and strong regularity of matrices over fuzzy algebra
• Identification in fuzzy systems
• Resolution of composite fuzzy relation equations
• COMPATIBILITY OF SYSTEMS OF FUZZY RELATION EQUATIONS