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  • Ohraničené komutativní Rl-monoidy jsou zobecněním fuzzy struktur, např. MV-algeber a BL-algeber. Autoři pro takové monoidy zavedli stavy jako analogie pravděpodobnostních měr. Jsou zde studovány Booleovské prvky Rl-monoidů a zavedena podmínka obecné komparability. Je ukázáno, že Rl-monoidy s touto vlastností jsou BL-algebry a že extremální stavy na Booleovských prvcích mohou být jednoznačně rozšířeny na stavy Rl-monoidů. (cs)
  • Bounded commutative Rl-monoids are a generalization of fuzzy structures, e.g., MV-algebras and BL-algebras. For such monoids the authors recently introduced states, analogues of probability measures. Here we study Boolean elements of Rl-monids and introduce the general comparability property. We show that the Rl-monoids with this property are BL-algebras and that extremal states on Boolean elements can be uniquely extended to those on the Rl-monoids. Moreover, we study the hull-kernel topology of maximal fiters and characterize finite Rl-monoids with the general comparability.
  • Bounded commutative Rl-monoids are a generalization of fuzzy structures, e.g., MV-algebras and BL-algebras. For such monoids the authors recently introduced states, analogues of probability measures. Here we study Boolean elements of Rl-monids and introduce the general comparability property. We show that the Rl-monoids with this property are BL-algebras and that extremal states on Boolean elements can be uniquely extended to those on the Rl-monoids. Moreover, we study the hull-kernel topology of maximal fiters and characterize finite Rl-monoids with the general comparability. (en)
Title
  • Bounded commutative residuated l-monoids with general comparability and states
  • Bounded commutative residuated l-monoids with general comparability and states (en)
  • Ohraničené komutativní reziduované l-monoidy s s obecnou komparabilitou a stavy (cs)
skos:prefLabel
  • Bounded commutative residuated l-monoids with general comparability and states
  • Bounded commutative residuated l-monoids with general comparability and states (en)
  • Ohraničené komutativní reziduované l-monoidy s s obecnou komparabilitou a stavy (cs)
skos:notation
  • RIV/61989592:15310/06:00003089!RIV07-MSM-15310___
http://linked.open.../vavai/riv/strany
  • 212-218
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 153100011)
http://linked.open...iv/cisloPeriodika
  • 3
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
  • 467329
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/06:00003089
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • bounded commutative Rl-monoid; general comparability property; state; extremal state; filter; MV-algebra; BL-algebra (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [10689D387C6D]
http://linked.open...i/riv/nazevZdroje
  • Soft Computing: a fusion of foundations, methodologies and applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 10
http://linked.open...iv/tvurceVysledku
  • Rachůnek, Jiří
  • Dvurečenskij, A.
http://linked.open...n/vavai/riv/zamer
issn
  • 1432-7643
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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