On Implication Bases in n-Lattices

Abstract : Implication bases in n-lattices are not formally defined. We clarify the different types of implications we need to reconstruct a concept n-lattice and show they can be derived from the same set of implications. We use this to identify a particular type of implication base in n-contexts. Finally, we provide an algorithm for computing implicational closures with n-dimensional bases.
Keywords : Implications Lattices
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Contributor : Alexandre Bazin <>
Submitted on : Sunday, July 23, 2017 - 4:12:59 PM
Last modification on : Wednesday, July 10, 2019 - 1:49:35 PM

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Alexandre Bazin. On Implication Bases in n-Lattices. Discrete Applied Mathematics, Elsevier, 2019. ⟨hal-01567409⟩

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