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Dual multi-adjoint concept lattices. (English) Zbl 1293.06001

Summary: Several papers relate different alternative approaches to classical concept lattices: such as property-oriented and object-oriented concept lattices and the dual concept lattices. Whereas the usual approach to the latter is via a negation operator, this paper presents a fuzzy generalization of the dual concept lattice, the dual multi-adjoint concept lattice, in which the philosophy of the multi-adjoint paradigm is applied and no negation on the lattices is needed.

MSC:

06B99 Lattices
06A15 Galois correspondences, closure operators (in relation to ordered sets)
68T30 Knowledge representation
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