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  • Bounded commutative residuated ℓ-monoids are a generalization of algebras of propositional logics such as BL-algebras, i.e. algebraic counterparts of the basic fuzzy logic (and hence consequently MV-algebras, i.e. algebras of the Łukasiewicz infinite valued logic) and Heyting algebras, i.e. algebras of the intuitionistic logic. Monadic MV-algebras are an algebraic model of the predicate calculus of the Łukasiewicz infinite valued logic in which only a single individual variable occurs. We introduce and study monadic residuated ℓ-monoids as a generalization of monadic MV-algebras.
  • Bounded commutative residuated ℓ-monoids are a generalization of algebras of propositional logics such as BL-algebras, i.e. algebraic counterparts of the basic fuzzy logic (and hence consequently MV-algebras, i.e. algebras of the Łukasiewicz infinite valued logic) and Heyting algebras, i.e. algebras of the intuitionistic logic. Monadic MV-algebras are an algebraic model of the predicate calculus of the Łukasiewicz infinite valued logic in which only a single individual variable occurs. We introduce and study monadic residuated ℓ-monoids as a generalization of monadic MV-algebras. (en)
Title
  • Monadic Bounded Commutative Residuated ℓ-monoids
  • Monadic Bounded Commutative Residuated ℓ-monoids (en)
skos:prefLabel
  • Monadic Bounded Commutative Residuated ℓ-monoids
  • Monadic Bounded Commutative Residuated ℓ-monoids (en)
skos:notation
  • RIV/61989592:15310/08:00005543!RIV10-MSM-15310___
http://linked.open...avai/riv/aktivita
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  • Z(MSM6198959214)
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  • 2
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http://linked.open...aciTvurceVysledku
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  • 380390
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/08:00005543
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  • Residuated ℓ-monoid -  MV-algebra - Monadic MV-algebra -  BL-algebra - Heyting algebra - Universal quantifier (en)
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  • NL - Nizozemsko
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  • [C2960EF8B6E0]
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  • 25
http://linked.open...iv/tvurceVysledku
  • Rachůnek, Jiří
  • Švrček, Filip
http://linked.open...n/vavai/riv/zamer
issn
  • 0167-8094
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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