Fuzzy relational equations with min-biimplication composition

DOI10.1007/s10700-012-9122-0zbMath1254.03101OpenAlexW2022780146MaRDI QIDQ1927264

Pingke Li, Qing-Wei Jin

Publication date: 31 December 2012

Published in: Fuzzy Optimization and Decision Making (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10700-012-9122-0

zbMATH Keywords

satisfiabilitylinear inequalitiesfuzzy relational equationsprime implicants

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17)

Related Items (9)

Maximizing a monomial geometric objective function subject to bipolar max-product fuzzy relation constraints ⋮ Solving nonlinear optimization problems with bipolar fuzzy relational equation constraints ⋮ A new algorithm for geometric optimization with a single-term exponent constrained by bipolar fuzzy relation equations ⋮ A new algorithm for solving linear programming problems with bipolar fuzzy relation equation constraints ⋮ Linear optimization with bipolar fuzzy relational equation constraints using the Łukasiewicz triangular norm ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Linear optimization of bipolar fuzzy relational equations with max-Łukasiewicz composition ⋮ Geometric programming with a single-term exponent subject to bipolar max-product fuzzy relation equation constraints

Uses Software

• JBool

Cites Work

• JBool
• Indistinguishability operators. Modelling fuzzy equalities and fuzzy equivalence relations
• 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
• Fuzzy relation equations with equality and difference composition operators
• On generating all maximal independent sets
• On the number of prime implicants
• On some finite fuzzy relation equations
• Equality relations as a basis for fuzzy control
• Algorithms for selective enumeration of prime implicants
• System of fuzzy relation equations as a continuous model of IF-THEN rules
• On the \(T\)-transitivity of kernels
• Resolution of composite fuzzy relation equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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