Dual multi-adjoint concept lattices

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 d...

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Bibliographic Details
Published in:Information sciences 2013-03, Vol.225, p.47-54
Main Authors: Medina, J., Ojeda-Aciego, M.
Format: Article
Language:English
Subjects:
Concept lattices
Dual concept lattices
Galois connection
Implication triples
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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.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2012.10.030