Luxenburger, Michael Implications partielles dans un contexte. (Partial implications of a context). (French) Zbl 0751.06006 Math. Inf. Sci. Hum. 113, 35-55 (1991). 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. Cited in 1 ReviewCited in 15 Documents MSC: 06B99 Lattices Keywords:concept lattices; partial implications; data analysis; relative frequency of implications PDFBibTeX XMLCite \textit{M. Luxenburger}, Math. Inf. Sci. Hum. 113, 35--55 (1991; Zbl 0751.06006) Full Text: Numdam EuDML