Min-max optimization of several classical discrete optimization problems
Journal of Optimization Theory and Applications
Solving fuzzy relation equations with a linear objective function
Fuzzy Sets and Systems
Optimization of fuzzy relation equations with max-product composition
Fuzzy Sets and Systems
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
New algorithms for solving fuzzy relation equations
Mathematics and Computers in Simulation
Multi-objective optimization problems with fuzzy relation equation constraints
Fuzzy Sets and Systems - Special issue: Optimization and decision support systems
Disjunctive optimization, max-separable problems and extremal algebras
Theoretical Computer Science
A Note on Fuzzy Relation Programming Problems with Max-Strict-t-Norm Composition
Fuzzy Optimization and Decision Making
Solutions of fuzzy relation equations based on continuous t-norms
Information Sciences: an International Journal
Optimization of fuzzy relational equations with max-av composition
Information Sciences: an International Journal
On the minimal solutions of max--min fuzzy relational equations
Fuzzy Sets and Systems
Information Sciences: an International Journal
Information Sciences: an International Journal
Properties of $$\text{max-}*$$fuzzy relation equations
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on Fuzzy Set Theory and Applications; Guest Editors: Ferdinand Chovanec, Olga Nánásiová, Alexander Šostak
An efficient solution procedure for fuzzy relation equations with max-product composition
IEEE Transactions on Fuzzy Systems
An accelerated approach for solving fuzzy relation equations with a linear objective function
IEEE Transactions on Fuzzy Systems
Fuzzy linear programming under interval uncertainty based on IFS representation
Fuzzy Sets and Systems
Resolution of a system of fuzzy polynomial equations using the Gröbner basis
Information Sciences: an International Journal
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We consider a generalization of the linear optimization problem with fuzzy relational (in)equality constraints by allowing for bipolar max-min constraints, i.e. constraints in which not only the independent variables but also their negations occur. A necessary condition to have a non-empty feasible domain is given. The feasible domain, if not empty, is algebraically characterized. A simple procedure is described to generate all maximizers of the linear optimization problem considered and is applied to various illustrative example problems.