Three-way concept lattice based on Boolean formal context

被引：0
|
作者：
Niu, Dong-Yun [1 ]
Mi, Ju-Sheng [1 ,2 ]
机构：
[1] School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, China
[2] Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang, China
来源：
International Journal of Approximate Reasoning | 2024年 / 175卷
基金：
中国国家自然科学基金;
关键词：
Crystal lattices - Knowledge representation - Lattice theory - Vectors;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The theory of formal concept analysis (FCA) is an important mathematical method for knowledge representation and knowledge discovery. The Boolean formal context is proposed by introducing Boolean matrices and logical operations into FCA. Based on the concept lattice of the Boolean formal context and the column vector(row-vector)-oriented concept lattice of the Boolean formal context, this paper proposes the column vector(row vector)-induced three-way concept lattice of the Boolean formal context and the column vector(row vector)-induced three-way column vector(row vector)-oriented concept lattice of the Boolean formal context, and proves their rationality. Then, the isomorphism between the three-way concept lattice of the Boolean formal context and the three-way concept lattice of the general formal context is proved. © 2024 Elsevier Inc.
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