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Polyadic relational concept analysis

delete2024-01-01
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Alexandre Bazin
J
Jessie, Galasso
G
Giacomo Kahn *
DOI:10.1016/j.ijar.2023.109067delete
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Abstract

Abstract

En 中文
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.
Keywords:
Formal concept analysis
Polyadic concept analysis
Relational concept analysis
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International Journal of Approximate Reasoning cover
International Journal of Approximate Reasoning
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universite paul-valery
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