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Computing Implications with Negation from a Formal Context

Missaoui R., Nourine L., Renaud Y.

Fundamenta Informaticae

2012

Vol. 115, nr 4

357-375

The objective of this article is to define an approach towards generating implications with (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 premise is a key in the context K| K representing the apposition of the context K and its complementary �K with attributes in M (negative attributes), and then (ii) uses an inference axiom we have defined to produce the whole set of implications.