Computing Implications with Negation from a Formal Context

Abstract : The objective of this article is to define an approach towards generating implicationswith (or without) negation when only a formal context K = (G, M, I) is provided. To that end, we define a two-step procedure which first (i) computes implications whose left-hand side is a key in the context K\tilde{K} representing the apposition of the context K and its complementary \tilde{K} with attributes in \tilde{M}(negative attributes), and then (ii) uses an inference axiom we have defined to produce the whole set of implications. The initial context K needs to be reduced.
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https://hal.archives-ouvertes.fr/hal-01352937
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Submitted on : Wednesday, August 10, 2016 - 4:15:52 PM
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Rokia Missaoui, Lhouari Nourine, Yoan Renaud. Computing Implications with Negation from a Formal Context. Fundamenta Informaticae, Polskie Towarzystwo Matematyczne, 2012, 4, 115, pp.357-375. ⟨10.3233/FI-2012-659⟩. ⟨hal-01352937⟩

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