1. Negation in bounded commutative $DR\ell$-monoids
- Creator:
- Rachůnek, Jiří and Slezák, Vladimír
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- $DR\ell $-monoid, $MV$-algebra, $BL$-algebra, Brouwerian algebra, and negation
- Language:
- English
- Description:
- The class of commutative dually residuated lattice ordered monoids ($DR\ell $-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 $DR\ell $-monoids is introduced, its properties are studied and the sets of regular and dense elements of $DR\ell $-monoids are described.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public