Negation in bounded commutative DRℓ-monoids
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The class of commutative dually residuated lattice ordered monoids (DRℓ-monoids) contains among others Abelian lattice ordered groups, algebras of Hájek’s Basic fuzzy logic and Brouwerian algebras. In the paper, a unary operation of negation in bounded DRℓ-monoids is introduced, its properties are studied and the sets of regular and dense elements of DRℓ-monoids are described.
KeywordsDRℓ-monoid MV-algebra BL-algebra Brouwerian algebra negation
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