Optimization of partially monotonic functions subject to bipolar fuzzy relation equations

DOI10.1016/j.ins.2023.119497OpenAlexW4385813986MaRDI QIDQ6052624

David Lobo, Jesús Medina, Maria Eugenia Cornejo

Publication date: 22 September 2023

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

Full work available at URL: https://doi.org/10.1016/j.ins.2023.119497

zbMATH Keywords

nonlinear optimizationnegation operatorbipolar fuzzy relation equationextended aggregator

Mathematics Subject Classification ID

Nonlinear programming (90C30) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Cites Work

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• Solving nonlinear optimization problems with bipolar fuzzy relational equation constraints
• Minimizing a linear objective function under a fuzzy max-\(t\) norm relation equation constraint
• Optimal solution of multi-objective linear programming with \(\inf\)-\(\to\) fuzzy relation equations constraint
• Fuzzy relation equations and inequalities
• Linear optimization with bipolar fuzzy relational equation constraints using the Łukasiewicz triangular norm
• On the resolution and optimization of a system of fuzzy relational equations with sup-\(T\) composition
• Commutative integral bounded residuated lattices with an added involution
• Solving fuzzy relation equations with a linear objective function
• Metamathematics of fuzzy logic
• Multi-objective optimization problems with fuzzy relation equation constraints
• Minimizing a linear function under a fuzzy max-min relational equation constraint
• Minimal solutions of general fuzzy relation equations on linear carriers. An algebraic characterization
• Resolution of bipolar fuzzy relation equations with max-Łukasiewicz composition
• On the solvability of bipolar max-product fuzzy relation equations with the standard negation
• Extended multi-adjoint logic programming
• Linear optimization of bipolar fuzzy relational equations with max-Łukasiewicz composition
• On the solvability of bipolar max-product fuzzy relation equations with the product negation
• Linear optimization with bipolar max-min constraints
• Linear objective function optimization with fuzzy relation equation constraints regarding max--av composition
• Using concept lattice theory to obtain the set of solutions of multi-adjoint relation equations
• On the resolution of bipolar max-min equations
• An introduction to bipolar representations of information and preference
• Minimizing and maximizing a linear objective function under a fuzzy $\max-\ast$ relational equation and an inequality constraint
• Bipolar fuzzy relation equations systems based on the product t‐norm
• Separable programming problems with the max-product fuzzy relation equation constraints
• Covering Problem for Solutions of Max-Archimedean Bipolar Fuzzy Relation Equations
• Bipolar equations on complete distributive symmetric residuated lattices: the case of a join-irreducible right-hand side

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