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Research Centre
Data - Algorithms - Decision Making
Data - Algorithms - Decision Making
Established in 2005 under support of MŠMT ČR (project 1M0572)
Publications
System of fuzzy relation equations with \sups\composition in semi-linear spaces: minimal solutions
Typ:
Conference paper
Authors:
Proceedings name:
Proceedings of FUZZ-IEEE 2007
Serie:
London
Year:
2007
Pages:
1520-1525
Keywords:
solvability of a system of equations; fuzzy relation equatio
Anotation:
The problem of solvability of a system of equations with \infr\composition is considered on finite universes. We study a complete set of solutions of the respective system. 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.