Infinite fuzzy relational equations on a complete Brouwerian lattice

DOI10.1016/S0165-0114(02)00330-5zbMath1075.03026MaRDI QIDQ2572282

Xue-ping Wang

Publication date: 16 November 2005

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

zbMATH Keywords

Fuzzy relationFuzzy relational equationMinimal solutionSolution setComplete Brouwerian lattice

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fuzzy lattices (soft algebras) and related topics (06D72)

Related Items (23)

Fuzzy Relation Equations in Semilinear Spaces ⋮ Iteration algorithm for solving \(Ax = b\) in max--min algebra ⋮ On the minimal solutions of max-min fuzzy relational equations ⋮ Resolution of matrix equations over arbitrary Brouwerian lattices ⋮ System of fuzzy relation equations with inf-\(\rightarrow \) composition: Complete set of solutions ⋮ Some properties of infinite fuzzy relational equations on complete Brouwerian lattices ⋮ Solution sets of \(\inf\)-\(\alpha_{\mathcal J}\) fuzzy relational equations on complete Brouwerian lattices ⋮ Remarks on minimal solutions of a system of fuzzy relation equations over complete infinitely distributive lattices ⋮ Finitary solvability conditions for systems of fuzzy relation equations ⋮ Bideterminant and Generalized Kronecker-Capelli Theorem for Fuzzy Relation Equations ⋮ An algorithm for solving fuzzy relation equations with \(\max\)-\(T\) composition operator ⋮ Infinite fuzzy relation equations with continuous t-norms ⋮ Necessary and sufficient conditions for existence of maximal solutions for inf-\(\alpha\) composite fuzzy relational equations ⋮ Some properties of sup-min fuzzy relational equations on infinite domains ⋮ On the convergence exponent of decomposable relations ⋮ 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 ⋮ Solutions and strong solutions of min-product fuzzy relation inequalities with application in supply chain ⋮ On the resolution and optimization of a system of fuzzy relational equations with sup-\(T\) composition ⋮ The solution sets of infinite fuzzy relational equations with sup-conjunctor composition on complete distributive lattices ⋮ Conditions under which the solution sets of fuzzy relational equations over complete Brouwerian lattices form lattices

Cites Work

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• Resolution of finite fuzzy relation equations
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• On matrix equations in a class of complete and completely distributive lattices
• Finite fuzzy relation equations with unique solution in complete Brouwerian lattices
• On the existence of minimal solutions for fuzzy equations with tolerances
• Some properties fo minimal solutions for a fuzzy relation equation
• Unique solvability of max-min fuzzy equations and strong regularity of matrices over fuzzy algebra
• Unattainable solutions of a fuzzy relation equation
• Resolution of composite fuzzy relation equations

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