BL-algebras and quantum structures
Thomas Vetterlein (2004)
Mathematica Slovaca
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Displaying similar documents to “BL-algebras of basic fuzzy logic.”
BL-algebras and quantum structures
The algebra of first-order fuzzy logic
Esko Turunen (1992)
Kybernetika
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Enriched MV-algebras.
Ulrich Höhle (1995)
Mathware and Soft Computing
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This paper introduces the structure of enriched MV-algebras and studies on this basis various relations between sigma-complete MV-algebras and T-tribes.
Axiomatizing quantum MV-algebras.
Roberto Giuntini (1997)
Mathware and Soft Computing
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We introduce the notion of p-ideal of a QMV-algebra and we prove that the class of all p-ideals of a QMV-algebra M is in one-to-one correspondence with the class of all congruence relations of M.
Radicals in non-commutative generalizations of MV-algebras
Jiří Rachůnek (2002)
Mathematica Slovaca
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Preboolean MV-algebras as bipartite MV-algebras.
Carmela Cella, Ada Lettieri (1992)
Stochastica
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In this note we characterize bipartite MV-algebras by introducing the notion of preboolean MV-algebras.
Putting together Lukasiewicz and product logics.
Francesc Esteva, Lluis Godo (1999)
Mathware and Soft Computing
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In this paper we investigate a propositional fuzzy logical system LΠ which contains the well-known Lukasiewicz, Product and Gödel fuzzy logics as sublogics. We define the corresponding algebraic structures, called LΠ-algebras and prove the following completeness result: a formula φ is provable in the LΠ logic iff it is a tautology for all linear LΠ-algebras. Moreover, linear LΠ-algebras are shown to be embeddable in linearly ordered abelian rings with a strong unit and cancellation law. ...