Decomposition and resolution of min-implication fuzzy relation equations based on S-implications

DOI10.1016/j.fss.2004.02.004zbMath1060.03077OpenAlexW2054726552WikidataQ62038262 ScholiaQ62038262MaRDI QIDQ703395

Yanbin Luo, Yong-Ming Li

Publication date: 11 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.fss.2004.02.004

zbMATH Keywords

triangular conormstrong negationfuzzy relation equation

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (9)

Necessary and sufficient conditions for the existence of solution of generalized fuzzy relation equations \(\mathbf{A} \Leftrightarrow\mathrm{X} = \mathrm{B}\) ⋮ Resolution of fuzzy relation equations with increasing operations over complete lattices ⋮ Resolution of fuzzy relation equations (I) based on Boolean-type implications ⋮ The general \(\alpha \)-decomposition problem of fuzzy relations ⋮ An algorithm for solving fuzzy relation equations with \(\max\)-\(T\) composition operator ⋮ A note on ``Resolution of fuzzy relation equations (I) based on Boolean-type implications ⋮ 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 the resolution and optimization of a system of fuzzy relational equations with sup-\(T\) composition

Cites Work

• Solutions of composite fuzzy relational equations with triangular norms
• On fuzzy implication operators
• Approximation theory of fuzzy systems based upon genuine many-valued implications -- SISO cases
• Approximation theory of fuzzy systems based upon genuine many-valued implications -- MIMO cases
• On the logic foundation of fuzzy reasoning
• Fuzzy sets in a approximate reasoning. I: Inference with possibility distributions
• Fuzzy sets in approximate reasoning. II: Logical approaches
• Resolution of composite fuzzy relation equations based on Archimedean triangular norms
• Method of solution to fuzzy relation equations in a complete Brouwerian lattice
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