Polyadic relational concept analysis

被引：0
|
作者：
Alexandre, Bazin [1 ]
Jessie, Galasso [2 ]
Giacomo, Kahn [3 ]
机构：
[1] Univ Montpellier, CNRS, LIRMM, Montpellier, France
[2] McGill Univ, Montreal, PQ, Canada
[3] Univ Jean Monnet Saint Etienne, Univ Claude Bernard Lyon 1, Univ Lyon 2, Univ Lyon,INSA Lyon,DISP UR4570, F-69500 Bron, France
来源：
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2024年 / 164卷
关键词：
Formal concept analysis; Polyadic concept analysis; Relational concept analysis; FORMAL CONCEPT ANALYSIS;
D O I：
10.1016/j.ijar.2023.109067
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
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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页数：11
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