About: Normal Forms in BL-algebra of functions and their contribution to universal approximation

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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 inf inite 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 estimation of the quality of approximati on is suggested. Moreover, functions which can be precisely represented by the discrete normal forms are considered. 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 inf inite 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 estimation of the quality of approximati on is suggested. Moreover, functions which can be precisely represented by the discrete normal forms are considered. (en)
Title	Normal Forms in BL-algebra of functions and their contribution to universal approximation Normal Forms in BL-algebra of functions and their contribution to universal approximation (en)
skos:prefLabel	Normal Forms in BL-algebra of functions and their contribution to universal approximation Normal Forms in BL-algebra of functions and their contribution to universal approximation (en)
skos:notation	RIV/61988987:17310/04:00000016!RIV/2004/AV0/173104/N
http://linked.open.../vavai/riv/strany	111-127
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1187301), Z(MSM 179000002)
http://linked.open...iv/cisloPeriodika	Duben
http://linked.open...vai/riv/dodaniDat	2004
http://linked.open...aciTvurceVysledku	Perfiljeva, Irina
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ostravská univerzita v Ostravě / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	576441
http://linked.open...ai/riv/idVysledku	RIV/61988987:17310/04:00000016
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	BL-algebra, fuzzy logic functions;; disjunctive normal form;; conjunctive normal form; universal approximation (en)
http://linked.open.../riv/klicoveSlovo	disjunctive normal form fuzzy logic functions conjunctive normal form BL-algebra universal approximation
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[5615D24A40E7]
http://linked.open...i/riv/nazevZdroje	Fuzzy Sets and Systems
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Theory of Fuzzy Functions and Their Representation
http://linked.open...UplatneniVysledku	2004
http://linked.open...v/svazekPeriodika	143
http://linked.open...iv/tvurceVysledku	Perfilieva, Irina
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20179000002
issn	0165-0114
number of pages	17 (xsd:int)
http://localhost/t...ganizacniJednotka	17310

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