Bideterminant and Generalized Kronecker-Capelli Theorem for Fuzzy Relation Equations

DOI10.1007/978-3-642-34922-5_5zbMath1283.15029OpenAlexW113020526MaRDI QIDQ5402712

Irina Perfilieva, Jiří Kupka

Publication date: 17 March 2014

Published in: Soft Computing: State of the Art Theory and Novel Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-34922-5_5

zbMATH Keywords

ranksemiringbideterminantresiduated latticesemilinear space

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Theory of fuzzy sets, etc. (03E72) Semirings (16Y60) Basic linear algebra (15A99) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invertible matrices and semilinear spaces over commutative semirings
• On the existence of solutions of systems of fuzzy equations
• System of fuzzy relation equations with inf-\(\rightarrow \) composition: Complete set of solutions
• Algebraic analysis of fuzzy systems
• Inverse problem in fuzzy relational equations
• Semiring rank versus column rank
• Finite fuzzy relation equations with unique solution in complete Brouwerian lattices
• Bideterminants, arborescences and extension of the matrix-tree theorem to semirings
• Some properties of sup-min fuzzy relational equations on infinite domains
• Bases in max-algebra
• Graphs, dioids and semirings. New models and algorithms.
• Infinite fuzzy relational equations on a complete Brouwerian lattice
• Resolution of composite fuzzy relation equations
• Solvability and approximate solvability of fuzzy relation equations*
• COMPATIBILITY OF SYSTEMS OF FUZZY RELATION EQUATIONS

This page was built for publication: Bideterminant and Generalized Kronecker-Capelli Theorem for Fuzzy Relation Equations