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Journal Articles International Journal of Approximate Reasoning Year : 2024

Polyadic Relational Concept Analysis

Abstract

Formal concept analysis is a mathematical framework based on lattice theory that aims at representing the information contained in binary object-attribute datasets (called formal contexts) in the form of a lattice of so-called formal concepts. Since its introduction, it has been extended to more complex types of data. In this paper, we are interested in two of those extensions: relational concept analysis and polyadic concept analysis that allow to process, respectively, relational data and n-ary relations. We present a framework for polyadic relational concept analysis that extends relational concept analysis to relational datasets that are made of n-ary relations. We show its basic properties and that it is a valid extension of relational concept analysis.
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Dates and versions

hal-03908993 , version 1 (21-12-2022)
hal-03908993 , version 2 (27-10-2023)

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Alexandre Bazin, Jessie Galasso-Carbonnel, Giacomo Kahn. Polyadic Relational Concept Analysis. International Journal of Approximate Reasoning, 2024, 164, pp.109067. ⟨10.1016/j.ijar.2023.109067⟩. ⟨hal-03908993v2⟩
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