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Comparing Relational Concept Analysis and Graph-FCA on Their Common Ground

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Conceptual Knowledge Structures (CONCEPTS 2024)

Abstract

Relational Concept Analysis (RCA) and Graph-FCA (GCA) have been defined as Formal Concept Analysis (FCA) extensions for processing relational data and knowledge graphs respectively. Nevertheless, while their purposes and results seem similar, the data modelling and the definition of concepts are different. In this paper, we compare these two approaches on a common basis, considering only unary and binary relations for GCA and the existential quantifier for RCA. We focus on examples showing the similarities and dissimilarities between both methods, and highlighting how cycles are processed differently by RCA and GCA.

This research is supported by ANR project SmartFCA (ANR-21-CE23-0023).

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Notes

  1. 1.

    The \(\bot \) concept is not considered when counting concepts in the following.

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Correspondence to Florence Le Ber .

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Fokou, V., Cellier, P., Dolques, X., Ferré, S., Le Ber, F. (2024). Comparing Relational Concept Analysis and Graph-FCA on Their Common Ground. In: Cabrera, I.P., Ferré, S., Obiedkov, S. (eds) Conceptual Knowledge Structures. CONCEPTS 2024. Lecture Notes in Computer Science(), vol 14914. Springer, Cham. https://doi.org/10.1007/978-3-031-67868-4_5

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  • DOI: https://doi.org/10.1007/978-3-031-67868-4_5

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