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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Representation of Fuzzy Logic Functions by Normal Forms
Citace	Perfilieva, I. Representation of Fuzzy Logic Functions by Normal Forms. In: Internat. Conf. on Fuzzy Information Processing: Proc. Internat. Conf. on Fuzzy Information Processing. Theories and Applic. 2003-03-01 Beijing, China. Tsinghua University, Beijing, China: Tsinghua University Press, Springer, 2003. Tsinghua University Press, Springer, 2003. s. 65-70. ISBN 7-302-06299-4.

Subtitle
Publication year:	2003
Obor:	Teorie informace
Number of pages:	6
Page from:	65
Page to:	70
Form of publication:
ISBN code:	7-302-06299-4
ISSN code:
Proceedings title:	Proc. Internat. Conf. on Fuzzy Information Processing. Theories and Applic.
Proceedings:
Publisher name:	Tsinghua University Press, Springer
Place of publishing:	Tsinghua University, Beijing, China
Country of Publication:	Sborník vydaný v zahraničí
Název konference:	Internat. Conf. on Fuzzy Information Processing
Místo konání konference:	Beijing, China
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
WoS code:
EID:

Key words in English:	Disjunctive; conjunctive and additive 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/61988987:17310/03:00000068

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