Negation in bounded commutative DRℓ-monoids
- 51 Downloads
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
Unable to display preview. Download preview PDF.