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Publikace

System of fuzzy relation equations with \sups\composition in semi-linear spaces: minimal solutions

Typ:

Konferenční příspěvek

Autoři publikace:

Nosková L., Perfilieva I.

Název sborniku:

Proceedings of FUZZ-IEEE 2007

Místo vydání:

London

Rok:

2007

Strany:

1520-1525

Kontaktní osoba:

Prof. Irina Perfilieva, CSc. (ÚVAFM Ostravská Univerzita)

Klíčová slova:

solvability of a system of equations; fuzzy relation equatio

Anotace:

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.