Lower solutions of systems of fuzzy equations
Fuzzy Sets and Systems
Inverse problem in fuzzy relational equations
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: the foundations of application—from a mathematical point of view
Fuzzy sets and fuzzy logic: the foundations of application—from a mathematical point of view
s-t fuzzy relational equations
Fuzzy Sets and Systems
Residuation in fuzzy algebra and some applications
Fuzzy Sets and Systems
Unique solvability of max-min fuzzy equations and strong regularity of matrices over fuzzy algebra
Fuzzy Sets and Systems - Special issue: fuzzy relations, part 2
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Solutions of composite fuzzy relational equations with triangular norms
Fuzzy Sets and Systems
Information Sciences: an International Journal
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Fuzzy relational equations on complete Brouwerian lattices
Information Sciences: an International Journal
Fuzzy equations max-* with conditionally cancellative operations
Information Sciences: an International Journal
Satisficing solutions of multi-objective fuzzy optimization problems using genetic algorithm
Applied Soft Computing
Solving systems of fuzzy relation equations by fuzzy property-oriented concepts
Information Sciences: an International Journal
Finitary solvability conditions for systems of fuzzy relation equations
Information Sciences: an International Journal
Some properties of infinite fuzzy relational equations with sup-inf composition
Information Sciences: an International Journal
Multi-adjoint relation equations: Definition, properties and solutions using concept lattices
Information Sciences: an International Journal
Using concept lattice theory to obtain the set of solutions of multi-adjoint relation equations
Information Sciences: an International Journal
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The problem of solvability of a system of equations with inf-- composition is considered on finite universes. Equations are expressed using operations of a BL-algebra. We study complete set of solutions of the respective system in the particular case (one equation) and in the general case. In both cases, various conditions of solvability are found and proved. We characterize all maximal solutions and prove that under certain conditions each solution of the system (an equation) is less than or equal to a respective maximal one. As a result, we are able to characterize the complete set of solutions. Examples of single equations and their systems are considered and complete sets of solutions are found for each.