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Implication in finite posets with pseudocomplemented sections. [PDF]
Chajda I, Länger H.
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Pseudo-BCK algebras as partial algebras
It is well-known that the representation of several classes of residuated lattices involves lattice-ordered groups. An often applicable method to determine the representing group (or groups) from a residuated lattice is based on partial algebras: the ...
Thomas Vetterlein
core
Basic Logic, SMT solvers and finitely generated varieties of GBL-algebras
Basic Logic was introduced by Petr Hájek to provide a unified approach to fuzzy logics, and judging by its rapid adoption in the research community, it has enjoyed considerable success in this regard. One of the reasons is that while it is a very general
Peter Jipsen
core
Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic. [PDF]
Badia G, Costa V, Dellunde P, Noguera C.
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States on semi-divisible generalized residuated lattices reduce to states on MV-algebras
Fuzzy Sets and Systems, 2008The authors continue their study of the set MV\((L)\) of complemented elements of a residuated lattice \(L\) [Soft Comput. 12, No.~4, 353--357 (2008; Zbl 1138.06006)]. Such structures are related to mathematical fuzzy logic as well as to extended probability theory.
Esko Turunen
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Soft Computing, 2009
There are close connections between pseudo MV-algebras (pseudo Wajsberg algebras) on the one hand and pseudo BL-algebras (pseudo Hájek (pP) algebras) and divisible noncommutative residuated lattices (divisible bounded reverse left-pseudo-BCK(pP) lattices) on the other hand, which generalize to the noncommutative case the close connections between MV ...
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There are close connections between pseudo MV-algebras (pseudo Wajsberg algebras) on the one hand and pseudo BL-algebras (pseudo Hájek (pP) algebras) and divisible noncommutative residuated lattices (divisible bounded reverse left-pseudo-BCK(pP) lattices) on the other hand, which generalize to the noncommutative case the close connections between MV ...
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