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  • 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.
  • 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. (en)
  • 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. (cs)
Title
  • Migrativity of aggregation functions
  • Migrativita agregačních funkcií (cs)
  • Migrativity of aggregation functions (en)
skos:prefLabel
  • Migrativity of aggregation functions
  • Migrativita agregačních funkcií (cs)
  • Migrativity of aggregation functions (en)
skos:notation
  • RIV/67985556:_____/09:00322892!RIV09-GA0-67985556
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA402/08/0618), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 326298
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/09:00322892
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Aggregation functions; Associativity; Bisymmetry; Migrativity; Nullnorms; t-Norms; Uninorms (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [33437C0439AE]
http://linked.open...i/riv/nazevZdroje
  • Fuzzy Sets and Systems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 160
http://linked.open...iv/tvurceVysledku
  • Bustince, H.
  • Mesiar, Radko
  • Montero, J.
http://linked.open...ain/vavai/riv/wos
  • 000263661700006
http://linked.open...n/vavai/riv/zamer
issn
  • 0165-0114
number of pages
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