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Statements

Subject Item
n2:RIV%2F61988987%3A17610%2F04%3AA1000CEW%21RIV10-MSM-17610___
rdf:type
skos:Concept n19:Vysledek
dcterms:description
The class of functions which can be represented by formulas of a standard BL-algebra whose basic operation is a t-norm is fully characterized. We prove that the class of functions which are represented by such formulas coincides with the class of extensional functions. Moreover, the class of these functions coincides with the class of Lipschitz continuous functions in the case of BL-algebra whose t-norm has a continuous additive generator. The class of functions which can be represented by formulas of a standard BL-algebra whose basic operation is a t-norm is fully characterized. We prove that the class of functions which are represented by such formulas coincides with the class of extensional functions. Moreover, the class of these functions coincides with the class of Lipschitz continuous functions in the case of BL-algebra whose t-norm has a continuous additive generator.
dcterms:title
Lipschitz Continuity and Extensionality of Functions Represented by BL-algebra Formulas Lipschitz Continuity and Extensionality of Functions Represented by BL-algebra Formulas
skos:prefLabel
Lipschitz Continuity and Extensionality of Functions Represented by BL-algebra Formulas Lipschitz Continuity and Extensionality of Functions Represented by BL-algebra Formulas
skos:notation
RIV/61988987:17610/04:A1000CEW!RIV10-MSM-17610___
n4:aktivita
n20:P n20:Z
n4:aktivity
P(IAA1187301), Z(MSM 179000002)
n4:dodaniDat
n12:2010
n4:domaciTvurceVysledku
n7:9347453
n4:druhVysledku
n14:D
n4:duvernostUdaju
n6:S
n4:entitaPredkladatele
n21:predkladatel
n4:idSjednocenehoVysledku
571624
n4:idVysledku
RIV/61988987:17610/04:A1000CEW
n4:jazykVysledku
n16:eng
n4:klicovaSlova
BL-algebra; extensional function; disjunctive and conjunctive normal forms; Lipschitz condition
n4:klicoveSlovo
n5:BL-algebra n5:extensional%20function n5:Lipschitz%20condition n5:disjunctive%20and%20conjunctive%20normal%20forms
n4:kontrolniKodProRIV
[87DDD90FD44F]
n4:mistoKonaniAkce
Perugia, Italy
n4:mistoVydani
Perugia
n4:nazevZdroje
Proceedings of IPMU 2004 (Information Processing and Management)
n4:obor
n11:BD
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:projekt
n22:IAA1187301
n4:rokUplatneniVysledku
n12:2004
n4:tvurceVysledku
Perfilieva, Irina
n4:typAkce
n17:WRD
n4:zahajeniAkce
2004-07-04+02:00
n4:zamer
n10:MSM%20179000002
s:numberOfPages
8
n8:hasPublisher
Editrice Universita La Sapienza, Italy
n18:isbn
88-87242-54-2
n13:organizacniJednotka
17610