Modal operators on bounded commutative residuated -monoids
Jiří Rachůnek, Dana Šalounová (2007)
Mathematica Slovaca
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Displaying similar documents to “Modal operators on bounded residuated -monoids”
Modal operators on bounded commutative residuated -monoids
Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures
Jiří Rachůnek, Vladimír Slezák (2006)
Mathematica Slovaca
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Negation in bounded commutative -monoids
Jiří Rachůnek, Vladimír Slezák (2006)
Czechoslovak Mathematical Journal
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The class of commutative dually residuated lattice ordered monoids (-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 -monoids is introduced, its properties are studied and the sets of regular and dense elements of -monoids are described.