Resolution of matrix equations over arbitrary Brouwerian lattices

DOI10.1016/j.fss.2007.07.002zbMath1176.03032OpenAlexW2086624093MaRDI QIDQ834438

Jia-Yin Wang, Song-Chol Han, Hong-Xing Li

Publication date: 26 August 2009

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2007.07.002

zbMATH Keywords

matrix equationBrouwerian latticefuzzy relation equationgeneralized inverse matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Theory of fuzzy sets, etc. (03E72) Matrix equations and identities (15A24) Heyting algebras (lattice-theoretic aspects) (06D20)

Related Items (11)

Explicit formulae for the greatest least-squares and minimum norm \(g\)-inverses and the unique group inverse of matrices over commutative residuated dioids ⋮ Remarks on minimal solutions of a system of fuzzy relation equations over complete infinitely distributive lattices ⋮ Solution sets of finite fuzzy relation equations with sup-inf composition over bounded Brouwerian lattices ⋮ Conditions for the existence of the least solution and minimal solutions to fuzzy relation equations over complete Brouwerian lattices ⋮ Optimal solution of multi-objective linear programming with \(\inf\)-\(\to\) fuzzy relation equations constraint ⋮ A survey on fuzzy relational equations. I: Classification and solvability ⋮ On pre-solution matrices of fuzzy relation equations over complete Brouwerian lattices ⋮ The Existence of Generalized Inverses of Fuzzy Matrices ⋮ The Drazin inverse in an arbitrary semiring ⋮ Moore-Penrose equations in involutive residuated semigroups and involutive quantales ⋮ Conditions under which the solution sets of fuzzy relational equations over complete Brouwerian lattices form lattices

Cites Work

• On compositions of lattice matrices
• On solving relational equations in Brouwerian lattices
• On matrix equations in a class of complete and completely distributive lattices
• Finite fuzzy relation equations with unique solution in complete Brouwerian lattices
• Generalized fuzzy matrices
• Inverses of L-fuzzy matrices
• Infinite fuzzy relational equations on a complete Brouwerian lattice
• Resolution of composite fuzzy relation equations
• Method of solution to fuzzy relation equations in a complete Brouwerian lattice
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