Application of fuzzy sets of type 2 to the solution of fuzzy equation systems
Fuzzy Sets and Systems
On the existence of minimal solutions for fuzzy equations with tolerances
Fuzzy Sets and Systems
Introduction to algorithms
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
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
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
On the resolution and optimization of a system of fuzzy relational equations with sup-T composition
Fuzzy Optimization and Decision Making
A note on systems with max--min and max-product constraints
Fuzzy Sets and Systems
Information Sciences: an International Journal
Deriving minimal solutions for fuzzy relation equations with max-product composition
Information Sciences: an International Journal
Optimization of linear objective function under max-product fuzzy relational constraint
FS'08 Proceedings of the 9th WSEAS International Conference on Fuzzy Systems
Optimization of linear objective function with max-t fuzzy relation equations
Applied Soft Computing
Minimizing a nonlinear function under a fuzzy max-t-norm relational equation constraint
Expert Systems with Applications: An International Journal
Journal of Computational and Applied Mathematics
Latticized linear optimization on the unit interval
IEEE Transactions on Fuzzy Systems
The fuzzy decomposition technique for weighting analysis of skill assessment
FIE'09 Proceedings of the 39th IEEE international conference on Frontiers in education conference
Minimizing a linear objective function under a fuzzy max-t norm relation equation constraint
Information Sciences: an International Journal
Multi-objective optimization with a max-t-norm fuzzy relational equation constraint
Computers & Mathematics with Applications
On fuzzy relational equations and the covering problem
Information Sciences: an International Journal
Fuzzy Optimization and Decision Making
Spatial analysis with a tool GIS via systems of fuzzy relation equations
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part II
Solving the minimal solutions of max-product relation equation by graph method and branch method
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part I
Randomly generating test problems for fuzzy relational equations
Fuzzy Optimization and Decision Making
Satisficing solutions of multi-objective fuzzy optimization problems using genetic algorithm
Applied Soft Computing
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Solution to the covering problem
Information Sciences: an International Journal
Resolution of fuzzy relational equations - Method, algorithm and software with applications
Information Sciences: an International Journal
Resolution of a system of the max-product fuzzy relation equations using LºU-factorization
Information Sciences: an International Journal
Image matching by using fuzzy transforms
Advances in Fuzzy Systems - Special issue on Fuzzy Functions, Relations, and Fuzzy Transforms 2013
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Systems of equations with max-product composition are considered. It is shown that solving these equations is closely related with the covering problem, which belongs to the category of NP-hard problems. It is proved that minimal solutions of equations correspond to irredundant coverings. In terms of the covering problem the conditions of compatibility of equations, of redundancy of equations, of uniqueness of solution, of uniqueness of minimal solution are determined. Concepts of essential, non-essential, semi-essential and super-essential variables are suggested. Ways of simplification of a covering problem and methods of its solving are considered.