Monadic Bounded Commutative Residuated ℓ-monoids
Monadic Bounded Commutative Residuated ℓ-monoids
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DOI：
10.1007/s11083-008-9088-2
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发表时间：
2008-07
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影响因子：
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通讯作者：
J. Rachunek;Filip Svrcek
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文献类型：
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作者：
J. Rachunek;Filip Svrcek
Bounded commutative residuated ℓ-monoids are a generalization of algebras of propositional logics such asBL-algebras, i.e. algebraic counterparts of the basic fuzzy logic (and hence consequentlyMV-algebras, i.e. algebras of the Łukasiewicz infinite valued logic) and Heyting algebras, i.e. algebras of the intuitionistic logic. MonadicMV-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 monadicMV-algebras.
