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

Medina, J.; Ojeda-Aciego, M.

Inf. Sci. 225, 47-54 (2013).

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

Keywords:

concept lattices; Galois connection; implication triples; dual concept lattices