Sets of solution-set-invariant coefficient matrices of simple fuzzy relation equations

DOI10.1016/0165-0114(87)90153-9zbMath0649.04003OpenAlexW2067522369MaRDI QIDQ1105600

Masaru Shimbo, Masaaki Miyakoshi

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0165-0114(87)90153-9

zbMATH Keywords

fuzzy relationsmax-min compositionsimple fuzzy relation equations

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05) Set theory (03E99)

Related Items (10)

A new algorithm for minimizing a linear objective function with fuzzy relation equation constraints ⋮ Sequential representation of fuzzy similarity relations ⋮ Sets of solution-set equivalent coefficient matrices of fuzzy relation equations ⋮ Unattainable solutions of a fuzzy relation equation ⋮ Latticized linear programming and fuzzy relation inequalities ⋮ The optimization problem over a distributive lattice ⋮ An alternative approach to the resolution of fuzzy relation equations ⋮ Minimizing a linear function under a fuzzy max-min relational equation constraint ⋮ Fuzzy linear systems ⋮ Some properties fo minimal solutions for a fuzzy relation equation

Cites Work

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• Solution of fuzzy equations with extended operations
• On the existence of solutions of systems of fuzzy equations
• Characterization of some fuzzy relation equations provided with one solution on a finite set
• Resolution of finite fuzzy relation equations
• Reachable solution set of a fuzzy relation equation
• Fuzzy relation equations on a finite set
• Fuzzy relational equations and the inverse problem
• Resolution of composite fuzzy relation equations

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