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Statements

Subject Item
n2:RIV%2F61988987%3A17310%2F04%3A00000016%21RIV%2F2004%2FAV0%2F173104%2FN
rdf:type
skos:Concept n14:Vysledek
dcterms: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.
dcterms: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
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
skos:notation
RIV/61988987:17310/04:00000016!RIV/2004/AV0/173104/N
n3:strany
111-127
n3:aktivita
n11:Z n11:P
n3:aktivity
P(IAA1187301), Z(MSM 179000002)
n3:cisloPeriodika
Duben
n3:dodaniDat
n9:2004
n3:domaciTvurceVysledku
n17:9347453
n3:druhVysledku
n16:J
n3:duvernostUdaju
n7:S
n3:entitaPredkladatele
n13:predkladatel
n3:idSjednocenehoVysledku
576441
n3:idVysledku
RIV/61988987:17310/04:00000016
n3:jazykVysledku
n15:eng
n3:klicovaSlova
BL-algebra, fuzzy logic functions;; disjunctive normal form;; conjunctive normal form; universal approximation
n3:klicoveSlovo
n4:disjunctive%20normal%20form n4:universal%20approximation n4:BL-algebra n4:fuzzy%20logic%20functions n4:conjunctive%20normal%20form
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[5615D24A40E7]
n3:nazevZdroje
Fuzzy Sets and Systems
n3:obor
n10:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:pocetUcastnikuAkce
0
n3:pocetZahranicnichUcastnikuAkce
0
n3:projekt
n19:IAA1187301
n3:rokUplatneniVysledku
n9:2004
n3:svazekPeriodika
143
n3:tvurceVysledku
Perfilieva, Irina
n3:zamer
n8:MSM%20179000002
s:issn
0165-0114
s:numberOfPages
17
n18:organizacniJednotka
17310