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Statements

Subject Item
n2:RIV%2F67985556%3A_____%2F09%3A00322892%21RIV09-GA0-67985556
rdf:type
n7:Vysledek skos:Concept
dcterms:description
In this paper we introduce a slight modification of the definition of migrativity for aggregation functions that allows useful characterization of this property. In this context we prove that there are no t-conorms, uninorms or nullnorms that satisfy migrativity and that the only migrative idempotent aggregation function is the geometric mean. The k-Lipschitz migrative aggregation functions are also characterized and the product is shown to be the only 1-Lipschitz migrative aggregation function. Finally, the associativity and bisymmetry of migrative aggregation functions are discussed. Pro agregační funkce jsme zavedli malou modifikci definice migrativity, která umožní vhodnou charakterizaci této vlastnosti. Ukázali jsme, že neexistují t-conormy, uninormy a nullnormy, které by vyhovovali migrativitě a že jediná migrativní idempotentní agregační funkce je geometrický příměr. Dále jsme charakterizovali k-Lipschitzovskou migrativní agregační funkci a ukázali jsme, že jediná 1-Lipschitzovská migrativní funkce je součin. Na závěr jsme se věnovali asociativitě a bisymetrii migrativních agregačních funkcí. In this paper we introduce a slight modification of the definition of migrativity for aggregation functions that allows useful characterization of this property. In this context we prove that there are no t-conorms, uninorms or nullnorms that satisfy migrativity and that the only migrative idempotent aggregation function is the geometric mean. The k-Lipschitz migrative aggregation functions are also characterized and the product is shown to be the only 1-Lipschitz migrative aggregation function. Finally, the associativity and bisymmetry of migrative aggregation functions are discussed.
dcterms:title
Migrativita agregačních funkcií Migrativity of aggregation functions Migrativity of aggregation functions
skos:prefLabel
Migrativita agregačních funkcií Migrativity of aggregation functions Migrativity of aggregation functions
skos:notation
RIV/67985556:_____/09:00322892!RIV09-GA0-67985556
n3:aktivita
n10:P n10:Z
n3:aktivity
P(GA402/08/0618), Z(AV0Z10750506)
n3:cisloPeriodika
6
n3:dodaniDat
n9:2009
n3:domaciTvurceVysledku
n14:8494282
n3:druhVysledku
n6:J
n3:duvernostUdaju
n13:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
326298
n3:idVysledku
RIV/67985556:_____/09:00322892
n3:jazykVysledku
n18:eng
n3:klicovaSlova
Aggregation functions; Associativity; Bisymmetry; Migrativity; Nullnorms; t-Norms; Uninorms
n3:klicoveSlovo
n4:Migrativity n4:Associativity n4:t-Norms n4:Nullnorms n4:Aggregation%20functions n4:Bisymmetry n4:Uninorms
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[33437C0439AE]
n3:nazevZdroje
Fuzzy Sets and Systems
n3:obor
n12:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n16:GA402%2F08%2F0618
n3:rokUplatneniVysledku
n9:2009
n3:svazekPeriodika
160
n3:tvurceVysledku
Mesiar, Radko Montero, J. Bustince, H.
n3:wos
000263661700006
n3:zamer
n15:AV0Z10750506
s:issn
0165-0114
s:numberOfPages
12