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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Alpha Galois Lattices: An Overview
verfasst von : Véronique Ventos, Henry Soldano
Erschienen in: Formal Concept Analysis
Verlag: Springer Berlin Heidelberg
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What we propose here is to reduce the size of Galois lattices still conserving their formal structure and exhaustivity. For that purpose we use a preliminary partition of the instance set, representing the association of a “type” to each instance. By redefining the notion of
extent
of a term in order to cope, to a certain degree (denoted as
α
), with this partition, we define a particular family of Galois lattices denoted as
Alpha Galois lattices
. We also discuss the related implication rules defined as inclusion of such
α
-extents and show that Iceberg concept lattices are Alpha Galois lattices where the partition is reduced to one single class.