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Relating generalized concept lattices and concept lattices for non-commutative conjunctors. (English) Zbl 1187.06003

The authors prove that any concept lattice for non-commutative fuzzy logic is isomorphic to a sublattice of the Cartesian product of two generalized concept lattices. Related theory can be found in the papers of G. Georgescu and A. Popescu [Fundam. Inform. 53, No. 1, 23–54 (2002; Zbl 1023.03016)] and of R. Bělohlávek [Ann. Pure Appl. Logic 128, No. 1–3, 277–298 (2004; Zbl 1060.03040)].

MSC:

06B99 Lattices
03B52 Fuzzy logic; logic of vagueness
06A15 Galois correspondences, closure operators (in relation to ordered sets)
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