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Implications partielles dans un contexte. (Partial implications of a context). (French) Zbl 0751.06006
Summary: We introduce a generalization of the theory of implications between attributes to partial implications. In data analysis the user is not only interested in (global) implications, but also in “implications with a few exceptions”. Partial implications offer a possibility to represent this additional information. They can model the relative frequency of implications which are not valid for the whole data. As a consequence they give more information about the data than just the (global) implications. We can characterize those sets of partial implications which arise from real data. This characterization gives us a possibility of an “exploration” of partial implications by a computer. In this connection we are interested in a minimal representation and are searching for bases of partial implications.

MSC:
06B99Lattices