Description lattices of generalised convex hulls

In this article, we present a new approach to tackle lattice generation for complex and heterogeneous data using the concept of convexity. This is a work that we have already carried out, albeit intuitively [11] where we proposed the NextPriorityConcept algorithm for generating a meet-semilattice of concepts based on suitable descriptions and strategies. Now, we revisit the essential properties of our description spaces using a stronger formalism based on the properties of closure operators. • Concept lattices. • Pattern structures. • Generalised Convex Hull. • Closure operators.

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Institutions

Publication Details

Journal
International Journal of Approximate Reasoning
Published
2024-08-22
DOI
https://doi.org/10.1016/j.ijar.2024.109269
Citations
2
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.72

Funders

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article

Description lattices of generalised convex hulls

Damien Mondou, Jean-François Viaud, Karell Bertet, Cyril Faucher et al.
2 citations
International Journal of Approximate Reasoning
Advanced Algebra and Logic
0.72
article

Description lattices of generalised convex hulls

Damien Mondou, Jean-François Viaud, Karell Bertet, Cyril Faucher, Christophe Demko
article en
2 citations

Abstract

In this article, we present a new approach to tackle lattice generation for complex and heterogeneous data using the concept of convexity. This is a work that we have already carried out, albeit intuitively [11] where we proposed the NextPriorityConcept algorithm for generating a meet-semilattice of concepts based on suitable descriptions and strategies. Now, we revisit the essential properties of our description spaces using a stronger formalism based on the properties of closure operators. • Concept lattices. • Pattern structures. • Generalised Convex Hull. • Closure operators.

International Journal of Approximate ReasoningVol. 174
Laboratoire Informatique, Image et Interaction (L3i), La Rochelle Université (FR)
Agence Nationale de la Recherche
Openalex Percentile: Top 27%
Advanced Algebra and Logic
0.72
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