Lower solutions of systems of fuzzy equations
Fuzzy Sets and Systems
Introduction to algorithms
A software routine to solve the generalized inverse problem of fuzzy systems
Fuzzy Sets and Systems
An algorithmic approach to some special cases of the generalized inverse problem
Fuzzy Sets and Systems
Solution algorithms for fuzzy relational equations with max-product composition
Fuzzy Sets and Systems
Optimization of fuzzy relation equations with max-product composition
Fuzzy Sets and Systems
Computers and Intractability; A Guide to the Theory of NP-Completeness
Computers and Intractability; A Guide to the Theory of NP-Completeness
On the resolution and optimization of a system of fuzzy relational equations with sup-T composition
Fuzzy Optimization and Decision Making
Resolution of a system of the max-product fuzzy relation equations using LºU-factorization
Information Sciences: an International Journal
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A system of “max-product” type of equations, to which many inverse problems of fuzzy sets and relations, is solved. The minimal solution of this type of equations is determined from the solution of covering problems, which are NP-complete problems. A compatibility criterion for a system and redundancy criteria for equations and variables are formulated in terms of coverings. Possibilities for the reduction of the dimension of a covering problem and its solution methods are examined.