Composite fuzzy relational equations with non-commutative conjunctions

DOI10.1016/S0020-0255(97)10080-9zbMath0930.03074OpenAlexW2059287801MaRDI QIDQ1298343

Mayuka F. Kawaguchi, Masaaki Miyakoshi

Publication date: 23 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0020-0255(97)10080-9

zbMATH Keywords

fuzzy relational equationsresiduationresidual implicationsfuzzy logical operatorsgeneralized compositions of fuzzy relationsnoncommutative conjunctions

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (12)

Solution sets of \(\inf\)-\(\alpha_{\mathcal J}\) fuzzy relational equations on complete Brouwerian lattices ⋮ GENERALIZED COMPOSITIONS OF FUZZY RELATIONS ⋮ Resolution of fuzzy relation equations with increasing operations over complete lattices ⋮ A unified way to studies of t-seminorms, t-semiconorms and semi-uninorms on a complete lattice in terms of behaviour operations ⋮ Semi-uninorms and implications on a complete lattice ⋮ An algorithm for solving fuzzy relation equations with \(\max\)-\(T\) composition operator ⋮ On fuzzy relational equations and the covering problem ⋮ Two classes of pseudo-triangular norms and fuzzy implications ⋮ Fuzzy inference systems preserving Moser-Navara axioms ⋮ A survey on fuzzy relational equations. I: Classification and solvability ⋮ Asymmetric Copulas and Their Application in Design of Experiments ⋮ On the resolution and optimization of a system of fuzzy relational equations with sup-\(T\) composition

Cites Work

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• Solutions of composite fuzzy relational equations with triangular norms
• Adjointness of fuzzy systems
• On fuzzy implication operators
• A new look at fuzzy connectives
• Nonstandard conjunctions and implications in fuzzy logic
• Contrapositive symmetry of fuzzy implications
• L-fuzzy sets
• The logic of inexact concepts
• Resolution of composite fuzzy relation equations
• Foundations of fuzzy reasoning
• Outline of a New Approach to the Analysis of Complex Systems and Decision Processes

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