Three-way concept lattice based on Boolean formal context

被引：1

作者：

Niu, Dong-Yun ^{[1
]}

Mi, Ju-Sheng ^{[1
,2
]}

机构：

[1] Hebei Normal Univ, Sch Math Sci, Shijiazhuang, Peoples R China

[2] Hebei Key Lab Computat Math & Applicat, Shijiazhuang, Peoples R 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：

Three-way concept lattice; Boolean formal context; Three-way concept lattice of the Boolean; formal context; Three-way column vector(row vector)-oriented; concept lattice of the Boolean formal context; ATTRIBUTE REDUCTION;

D O I：

10.1016/j.ijar.2024.109286

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

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.

引用

页数：16

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