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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F06%3A00002564%21RIV07-AV0-15310___
rdf:type
skos:Concept n8:Vysledek
dcterms:description
Studie algeber s fuzzy rovnostmi. An algebra with fuzzy equality is a set with operations on it that is equipped with similarity ~, i.e. a fuzzy equivalence relation, such that each operation f is compatible with ~. Described verbally, compatibility says that each f yields similar results if applied to pairwise similar arguments. On the one hand, algebras with fuzzy equalities are structures for the equational fragment of fuzzy logic and have been studied from this point of view before. On the other hand, they are the formal counterpart to the intuitive idea of having functions that are not allowed to map similar objects to dissimilar ones. The present paper aims at developing fundamental points of algebras with fuzzy equalities: we introduce the notion of an algebra with fuzzy equality, present natural examples, compare the notion with other approaches, and introduce and develop basic structural notions (subalgebras, morphisms, products, direct unions). In a follow-up paper [30], we deal with advanced topics in algebras with fuzzy eq An algebra with fuzzy equality is a set with operations on it that is equipped with similarity ~, i.e. a fuzzy equivalence relation, such that each operation f is compatible with ~. Described verbally, compatibility says that each f yields similar results if applied to pairwise similar arguments. On the one hand, algebras with fuzzy equalities are structures for the equational fragment of fuzzy logic and have been studied from this point of view before. On the other hand, they are the formal counterpart to the intuitive idea of having functions that are not allowed to map similar objects to dissimilar ones. The present paper aims at developing fundamental points of algebras with fuzzy equalities: we introduce the notion of an algebra with fuzzy equality, present natural examples, compare the notion with other approaches, and introduce and develop basic structural notions (subalgebras, morphisms, products, direct unions). In a follow-up paper [30], we deal with advanced topics in algebras with fuzzy eq
dcterms:title
Algebras with fuzzy equalities Algebras with fuzzy equalities Algebry s fuzzy rovnostmi
skos:prefLabel
Algebras with fuzzy equalities Algebry s fuzzy rovnostmi Algebras with fuzzy equalities
skos:notation
RIV/61989592:15310/06:00002564!RIV07-AV0-15310___
n4:strany
205-211
n4:aktivita
n5:Z n5:P
n4:aktivity
P(KJB1137301), Z(MSM6198959214)
n4:cisloPeriodika
2
n4:dodaniDat
n17:2007
n4:domaciTvurceVysledku
n7:9623264 n7:1236784
n4:druhVysledku
n12:J
n4:duvernostUdaju
n19:S
n4:entitaPredkladatele
n13:predkladatel
n4:idSjednocenehoVysledku
464566
n4:idVysledku
RIV/61989592:15310/06:00002564
n4:jazykVysledku
n11:eng
n4:klicovaSlova
algebra; fuzzy equality
n4:klicoveSlovo
n16:algebra n16:fuzzy%20equality
n4:kodStatuVydavatele
NL - Nizozemsko
n4:kontrolniKodProRIV
[66D4F97DB41E]
n4:nazevZdroje
Fuzzy Sets and Systems
n4:obor
n18:BD
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
2
n4:projekt
n9:KJB1137301
n4:rokUplatneniVysledku
n17:2006
n4:svazekPeriodika
157
n4:tvurceVysledku
Vychodil, Vilém Bělohlávek, Radim
n4:zamer
n15:MSM6198959214
s:issn
0165-0114
s:numberOfPages
7
n14:organizacniJednotka
15310