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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Normal Forms for Fuzzy Logic Functions
Citace	Perfilieva, I. Normal Forms for Fuzzy Logic Functions. In: Int. Seminar on Multiple-Valued Logic ISMVL 2003: Proc. Int. Seminar on Multiple-Valued Logic ISMVL 2003 2003-05-16 Tokyo. Tokyo: IEEE Computer Society, 2003. IEEE Computer Society, 2003. s. 59-64. ISBN 0-7695-1918-0.

Subtitle
Publication year:	2003
Obor:	Obecná matematika
Number of pages:	8
Page from:	59
Page to:	64
Form of publication:
ISBN code:	0-7695-1918-0
ISSN code:
Proceedings title:	Proc. Int. Seminar on Multiple-Valued Logic ISMVL 2003
Proceedings:	Mezinárodní
Publisher name:	IEEE Computer Society
Place of publishing:	Tokyo
Country of Publication:	Sborník vydaný v zahraničí
Název konference:	Int. Seminar on Multiple-Valued Logic ISMVL 2003
Místo konání konference:	Tokyo
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
WoS code:
EID:

Key words in English:	fuzzy logic; normal forms; universal approximation
Annotation in original language:	Three types of normal forms are introduced for fuzzy logic functions: disjunctive, conjunctive and additive. Disjunctive and conjunctive normal forms are considered in two variants: infinite and finite. It is shown that infinite normal forms are universal representation formulas whereas finite normal forms are universal approximation formulas for any L-valued function where L is a support set of any complete BL-algebra. The additive normal form ``lies'' in the middle of the two others. For all of them the estimation of the quality of approximation is suggested.
Annotation in english language:	Three types of normal forms are introduced for fuzzy logic functions: disjunctive, conjunctive and additive. Disjunctive and conjunctive normal forms are considered in two variants: infinite and finite. It is shown that infinite normal forms are universal representation formulas whereas finite normal forms are universal approximation formulas for any $L$-valued function where $L$ is a support set of any complete BL-algebra. The additive normal form ``lies'' in the middle of the two others. For all of them the estimation of the quality of approximation is suggested.

References

Reference

R01:	RIV/61988987:17610/03:00000016

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