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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Fuzzy Relation Equations in Semilinear Spaces
Citace	Perfiljeva, I. Fuzzy Relation Equations in Semilinear Spaces. In: Communications in Computer and Information Science. Berlin: Springer-Verlag, 2010. Springer-Verlag, 2010. s. 545-552. ISBN 3-642-14054-8.

Subtitle
Publication year:	2010
Obor:	Obecná matematika
Number of pages:	8
Page from:	545
Page to:	552
Form of publication:
ISBN code:	3-642-14054-8
ISSN code:
Proceedings title:	Communications in Computer and Information Science
Proceedings:	Mezinárodní
Publisher name:	Springer-Verlag
Place of publishing:	Berlin
Country of Publication:	Sborník vydaný v zahraničí
Název konference:	Inform.Processing and Management of Uncert. in Knowledge-Based Systems - IPMU 2010
Místo konání konference:	Dortmund
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
WoS code:
EID:

Key words in English:	Semilinear space, Residuated lattice, System of fuzzy relation equations, Fixed point
Annotation in original language:	We introduce a notion of an idempotent semilinear space and consider two systems of linear-like equations. These systems are equivalent to systems of fuzzy relation equations with sup-* and inf-> compositions. We show that the theory of Galois connections can be successfully used in characterizing whether these systems are solvable and, if so, finding their solutions sets.
Annotation in english language:	We introduce a notion of an idempotent semilinear space and consider two systems of linear-like equations. These systems are equivalent to systems of fuzzy relation equations with sup-* and inf-> compositions. We show that the theory of Galois connections can be successfully used in characterizing whether these systems are solvable and, if so, finding their solutions sets.

References

Reference

R01:	RIV/61988987:17610/10:A1100ZTJ

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