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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
Fixed points and Solvability of Systems of Fuzzy Relations
Typ:
Part of monograph
Authors:
Monograph editors:
Castillo, O.; Melin, P.
Name of monograph:
Advances in Soft Computing
Publisher:
Springer
Serie:
Berlin
Year:
2007
Pages:
841-849
ISBN:
978-3-540-72433-9
Keywords:
Residuated lattice, solvability of a system of equations, se
Anotation:
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.