The semiring of matrices over a finite chain

DOI10.1016/j.ins.2008.03.004zbMath1152.15018OpenAlexW1974265194MaRDI QIDQ942323

Fang Ren, Xianzhong Zhao, Jun, Young Bae

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.ins.2008.03.004

zbMATH Keywords

indexhomomorphismchainperiodfuzzy matrixsemiring

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Algebraic theory of languages and automata (68Q70) Algebraic systems of matrices (15A30) Semirings (16Y60) Fuzzy algebraic structures (08A72)

Related Items (3)

Invertible matrices and semilinear spaces over commutative semirings ⋮ On decompositions of matrices over distributive lattices ⋮ Onn×nmatrices over a finite distributive lattice

Cites Work

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• Periodicity of powers of fuzzy matrices (finite fuzzy relations)
• Convergence of powers of a fuzzy matrix
• Convergence of the power sequence of a nearly monotone increasing fuzzy matrix
• On the oscillating power sequence of a fuzzy matrix
• The periodicity of square fuzzy matrices based on minimal strong components
• Locally closed semirings and iteration semirings.
• On the power sequence of a fuzzy matrix. III: A detailed study on the power sequence of matrices of commonly used types
• The period of powers of a fuzzy matrix
• \(*\)-\(\mu\)-semirings and \(*\)-\(\lambda\)-semirings
• Sturdy frames of type (2,2) algebras and their applications to semirings

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