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Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:
Normal Forms for fuzzy relations and their contribution to universal approximation
Citace
Perfilieva, I. Normal Forms for fuzzy relations and their contribution to universal approximation.
In:
IPMU 2002: Proceedings 9th Int.Conference IPMU 2002, Annecy, France 2002 Annecy, France.
Annecy: ESIA - univ.de Savoie, 2002. ESIA - univ.de Savoie, 2002. s. 149-155. ISBN 2-9516453-1-7.
Subtitle
Publication year:
2002
Obor:
Teorie informace
Number of pages:
7
Page from:
149
Page to:
155
Form of publication:
ISBN code:
2-9516453-1-7
ISSN code:
Proceedings title:
Proceedings 9th Int.Conference IPMU 2002, Annecy, France
Proceedings:
Publisher name:
ESIA - univ.de Savoie
Place of publishing:
Annecy
Country of Publication:
Sborník vydaný v zahraničí
Název konference:
IPMU 2002
Místo konání konference:
Annecy, France
Datum zahájení konference:
Typ akce podle státní
příslušnosti účastníků:
Celosvětová akce
WoS code:
EID:
Key words in English:
Disjunctive and conjunctive normal forms, BL-algebra, universal approximation, extensional functions
Annotation in original language:
This paper continues the investigation of approximating properties of generalized normal forms in fuzzy logic. The problem is formalized and solved algebraically. Normal forms are considered in two variants: infinite and finite. It is proved that infinite normal forms are universal representation formulas whereas finite normal forms are universal approximation formulas for extensional functions. The estimation of the quality of approximation is suggested.
Annotation in english language:
This paper continues the investigation of approximating properties of generalized normal forms in fuzzy logic. The problem is formalized and solved algebraically. Normal forms are considered in two variants: infinite and finite. It is proved that infinite normal forms are universal representation formulas whereas finite normal forms are universal approximation formulas for extensional functions. The estimation of the quality of approximation is suggested.
References
Reference
R01:
RIV/61988987:17310/02:00000045
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