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  • Ohraničené komutativní Rl-monoidy zobecňují BL-algebry (a tedy i MV-algebry). V článku jsou zavedeny stavy na ohraničených komutativních Rl-monoidech, které zobecňují stavy na MV-algebrách. Stavy jsou analogiemi pravděpodobnostní míry. Jsou zde studovány stavové prostory Rl-monoidů a je ukázáno, že množina extremálních stavů je neprázdným kompaktním Hausdorffovým topologickým prostorem. (cs)
  • Bounded commutative Rl-monoids generalize BL-algebras (and consequently MV-algebras). In the paper, the states on bounded commutative Rl-monoids, which generalize the states on MV-algebras, are introduced. States are analogues of probability measures. We exhibit the state space of the Rl-monoids proving that the set of extremal states is a nonempty compact Hausdorff topological space homeomorphic with the set of maximal filters endowed with the hull-kernel topology.
  • Bounded commutative Rl-monoids generalize BL-algebras (and consequently MV-algebras). In the paper, the states on bounded commutative Rl-monoids, which generalize the states on MV-algebras, are introduced. States are analogues of probability measures. We exhibit the state space of the Rl-monoids proving that the set of extremal states is a nonempty compact Hausdorff topological space homeomorphic with the set of maximal filters endowed with the hull-kernel topology. (en)
Title
  • Probabilistic averaging in bounded commutative residuated l-monoids
  • Probabilistic averaging in bounded commutative residuated l-monoids (en)
  • Pravděpodobnostní průměrování v ohraničených komutativních reziduovaných l-monoidech (cs)
skos:prefLabel
  • Probabilistic averaging in bounded commutative residuated l-monoids
  • Probabilistic averaging in bounded commutative residuated l-monoids (en)
  • Pravděpodobnostní průměrování v ohraničených komutativních reziduovaných l-monoidech (cs)
skos:notation
  • RIV/61989592:15310/06:00003095!RIV07-MSM-15310___
http://linked.open.../vavai/riv/strany
  • 1317-1326
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 153100011), Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 13
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
  • 494852
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/06:00003095
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • bounded commutative Rl-monoid; state; state-morphism; extremal state; filter; MV-algebra; BL-algebra (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [35EDD5DA393F]
http://linked.open...i/riv/nazevZdroje
  • Discrete Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 306
http://linked.open...iv/tvurceVysledku
  • Rachůnek, Jiří
  • Dvurečenskij, A.
http://linked.open...n/vavai/riv/zamer
issn
  • 0012-365X
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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