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Titlebook: Conceptual Exploration; Bernhard Ganter,Sergei Obiedkov Book 2016 Springer-Verlag Berlin Heidelberg 2016 Knowledge Acquisition.Data scienc

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Attribute exploration,theory. The canonical basis generates the implication theory of these five attributes for . triangles. Every implication that holds for all triangles follows from the canonical basis. For every implication that does not hold in general, there is already a counterexample among the seven triangles of the formal context.
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More expressive variants of exploration,tantial research has been contributed to this topic thatwe can only introduce some first ideas. The third section is devoted to ., which was already mentioned in the very first publication on Formal Concept Analysis. Three more generalizations are sketched in the fourth section, which then concludes by mentioning a few further ones.
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Book 2016f-contained. It provides an introduction to Formal Concept Analysis.with emphasis on its ability to derive algebraic structures from qualitative data,.which can be represented in meaningful and precise graphics..
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Concept lattices,offers several highly practical methods for working with concrete qualitative data. A solid knowledge of FCA is not a prerequisite for attribute exploration, but knowing the basic ideas will help. We therefore start with an introduction.
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The canonical basis,each other. Each of the ten objects is a pair of unit squares representing a possible placement. These ten pairs are representatives for an infinite set of possible positions that such pairs of squares may have. It is not stated, but perhaps expected by the reader, that these ten examples cover all
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Attribute exploration,ously true, because ., not only for the objects of the triangles context on page 23. This information is important, because it shows that the concept lattice given in Figure 1.16 (p. 27) will not change if more examples are added. The triangles in the formal context are representative of the entire
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More expressive variants of exploration,d situations, and this last chapter is devoted to such ideas. We start with ., which lifts attribute exploration in a rather naturalway to first-order predicate logic, with Horn formulas replacing implications. Next we discuss how attribute exploration can be integrated with .. However, so much subs
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