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  • Ohraničené Rl-monoidy zobecňují GMV-algebry a pseudo MV-algebry. Na rozdíl od GMV-algeber nepřipouštějí analogii sčítání. Přesto je v článku zaveden pojem stavu (analogie pravděpodobnostní míry). Je ukázáno, že existence stavů je úzce spojena s existencí filtrů, které jsou maximální a normální. Navíc jsou studovány topologické vlastnosti extremálních stavů. (cs)
  • Bounded Rl-monoids generalize GMV-algebras and pseudo BL-algebras. Such monoids do not admit, in general, any analogue of addition, in contrast to GMV-algebras. Nevertheless, we introduce the notion of states (an analogue of probability measures). It coincides with that for GMV-algebras. We show that the existence of states is crucially connected with the existence of normal and maximal filters. In addition, some topological properties of the extremal states and the hull-kernel topology of filters are studied.
  • Bounded Rl-monoids generalize GMV-algebras and pseudo BL-algebras. Such monoids do not admit, in general, any analogue of addition, in contrast to GMV-algebras. Nevertheless, we introduce the notion of states (an analogue of probability measures). It coincides with that for GMV-algebras. We show that the existence of states is crucially connected with the existence of normal and maximal filters. In addition, some topological properties of the extremal states and the hull-kernel topology of filters are studied. (en)
Title
  • Probabilistic averaging in bounded Rl-monoids
  • Probabilistic averaging in bounded Rl-monoids (en)
  • Pravděpodobnostní průměrování v ohraničených Rl-monoidech (cs)
skos:prefLabel
  • Probabilistic averaging in bounded Rl-monoids
  • Probabilistic averaging in bounded Rl-monoids (en)
  • Pravděpodobnostní průměrování v ohraničených Rl-monoidech (cs)
skos:notation
  • RIV/61989592:15310/06:00003093!RIV07-MSM-15310___
http://linked.open.../vavai/riv/strany
  • 191-206
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 2
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http://linked.open...aciTvurceVysledku
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  • 494853
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/06:00003093
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • bounded Rl-monoid; state; state-morphism; filter; GMV-algebra; pseudo BL-algebra (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [2187083799CA]
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  • Semigroup Forum
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http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 72
http://linked.open...iv/tvurceVysledku
  • Rachůnek, Jiří
  • Dvurečenskij, A.
http://linked.open...n/vavai/riv/zamer
issn
  • 0037-1912
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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