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Publikace

Fixed points and Solvability of Systems of Fuzzy Relations

Typ:

Část monografie

Autoři publikace:

Perfilieva I.

Editoři monografie:

Castillo, O.; Melin, P.

Název monografie:

Advances in Soft Computing

Nakladatel:

Springer

Místo vydání:

Berlin

Rok:

2007

Strany:

841-849

ISBN:

978-3-540-72433-9

Kontaktní osoba:

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

Klíčová slova:

Residuated lattice, solvability of a system of equations, se

Anotace:

The problem of solvability of a system of fuzzy relation equations with sup-*-composition is considered in a finite semilinear space over a residuated lattice. In this setting the problem of solvability given above is similar to the problem of solvability of a system of linear equations. We consider the problem of solvability as a problem of characterization of all right-hand side vectors for which the original system of is solvable.