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Description
  • DRl-monoidy tvoří širokou třídu algeber, která obsahuje mj. všechny svazově uspořádané grupy, fuzzy struktury, které nemusí být komutativní, např. pseudo BL-algebry a GMV-algebry, a Brouwerovy algebry. V článku jsou zavedeny dva pojmy negace v ohraničených DRl-monoidech a jsou studovány jejich vlastnosti. Jsou popsány množiny regulárních a hustých prvků. (cs)
  • Dually residuated lattice ordered monoids (DRl-monoids) form a large class of algebras that contains among others all lattice ordered groups, fuzzy structures which need not be commutative, for instance, pseudo-BL algebras and GMV-algebras (= pseudo-MV algebras) and Brouwerian algebras. In the paper, two concepts of negation in bounded DRl-monoids are introduced and their properties are studied in general as well as in the case of the so-called good DRl-monoids. The sets of regular and dense elements of good DRl-monoids are described.
  • Dually residuated lattice ordered monoids (DRl-monoids) form a large class of algebras that contains among others all lattice ordered groups, fuzzy structures which need not be commutative, for instance, pseudo-BL algebras and GMV-algebras (= pseudo-MV algebras) and Brouwerian algebras. In the paper, two concepts of negation in bounded DRl-monoids are introduced and their properties are studied in general as well as in the case of the so-called good DRl-monoids. The sets of regular and dense elements of good DRl-monoids are described. (en)
Title
  • Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures
  • Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures (en)
  • Ohraničené duálně reziduované svazově uspořádané monoidy jako zobecnění fuzzy struktur (cs)
skos:prefLabel
  • Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures
  • Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures (en)
  • Ohraničené duálně reziduované svazově uspořádané monoidy jako zobecnění fuzzy struktur (cs)
skos:notation
  • RIV/61989592:15310/06:00003092!RIV07-MSM-15310___
http://linked.open.../vavai/riv/strany
  • 223-233
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 153100011)
http://linked.open...iv/cisloPeriodika
  • 2
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
  • 467330
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/06:00003092
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • DRl-monoid; good bounded DRl-monoid; pseudo BL-algebra; GMV-algebra; negation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SK - Slovenská republika
http://linked.open...ontrolniKodProRIV
  • [855BB090463D]
http://linked.open...i/riv/nazevZdroje
  • Mathematica Slovaca
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 56
http://linked.open...iv/tvurceVysledku
  • Rachůnek, Jiří
  • Slezák, Vladimír
http://linked.open...n/vavai/riv/zamer
issn
  • 0139-9918
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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