On the powers of matrices in bottleneck/fuzzy algebra

DOI10.1016/0024-3795(94)00338-6zbMath0866.15009OpenAlexW2085463223MaRDI QIDQ1816932

Katarína Cechlárova

Publication date: 24 July 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00338-6

zbMATH Keywords

circulant matrixstable matrixassociated graphmax-min matrix productbottleneck/fuzzy algebramax-min matrix power

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items

Orbits in max--min algebra, On nilpotent fuzzy matrices, The transitive closure, convergence of powers and adjoint of generalized fuzzy matrices, Dioïds and semirings: Links to fuzzy sets and other applications, Powers of circulants in bottleneck algebra, On the \(\lambda \)-robustness of matrices over fuzzy algebra, The robustness of interval fuzzy matrices, Computing orbit period in max-min algebra, Indices and periods of incline matrices, Linear matrix period in max-plus algebra, On the asymptotic period of powers of a fuzzy matrix, On the powers of matrices over a distributive lattice, Orbits and critical components of matrices in max-min algebra, \(X^{A E}\) and \(X^{E A}\) robustness of max-min matrices, Powers of matrices over distributive lattices -- a review, On the sequence of consecutive powers of a fuzzy matrix with max-Archimedean-t-norms, Strong regularity of matrices -- a survey of results, Simultaneously controllable fuzzy matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Linear and combinatorial optimization in ordered algebraic structures
• Periodicity of powers of fuzzy matrices (finite fuzzy relations)
• Eigenvectors in Bottleneck algebra
• Convergence of powers of a fuzzy matrix
• An upper bound on indices of finite fuzzy relations
• Iterates of fuzzy circulant matrices
• Minimizing Wallpaper Waste, Part 1: A Class of Traveling Salesman Problems
• Modularity of cycles and paths in graphs