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How Hierarchies of Concept Graphs Can Facilitate the Interpretation of RCA Lattices?

Sébastien Ferré 1 Peggy Cellier 1
1 SemLIS - Semantics, Logics, Information Systems for Data-User Interaction
IRISA-D7 - GESTION DES DONNÉES ET DE LA CONNAISSANCE
Abstract : Relational Concept Analysis (RCA) has been introduced in order to allow concept analysis on multi-relational data. It significantly widens the field of application of Formal Concept Analysis (FCA), and it produces richer concept intents that are similar to concept definitions in Description Logics (DL). However, reading and interpreting RCA concept lattices is notoriously difficult. Nica et al have proposed to represent RCA intents by cpo-patterns in the special case of sequence structures. We propose an equivalent representation of a family of RCA concept lattices in the form of a hierarchy of concept graphs. Each concept belongs to one concept graph, and each concept graph exhibits the relationships between several concepts. A concept graph is generally transversal to several lattices, and therefore highlights the relationships between different types of objects. We show the benefits of our approach on several use cases from the RCA litterature.
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Sébastien Ferré, Peggy Cellier. How Hierarchies of Concept Graphs Can Facilitate the Interpretation of RCA Lattices?. International Conference on Concept Lattices and Their Applications, Jun 2018, Olomouc, Czech Republic. ⟨hal-01976754⟩

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