Attribute Logic Formula Description of Granule and Its Application to Build Concept Lattice

被引：0
|
作者：
Wu, Xia [1 ]
Zhang, Jialu [1 ]
Lu, Ruhua [2 ]
机构：
[1] College of Mathematics and Finance, Xiangnan University, Chenzhou, China
[2] College of Software and Communication Engineering, Xiangnan University, Chenzhou, China
来源：
IEEE Access | 2020年 / 8卷
关键词：
Formal concept analysis;
D O I：
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学科分类号：
摘要：
This paper focus on the granule description based on formal concept analysis. First, we introduce the notion of attribute logic formula in a formal context, and then prove a general granule description theorem by using attribute logic formulas. Second, we prove some basic granule description theorems based on concept, property-oriented concept and object-oriented concept respectively. Third, we propose some methods that use attribute logic formulas to describe concept, property-oriented concept and object-oriented concept respectively, and prove that a property-oriented concept lattice and an object-oriented concept lattice are anti-isomorphic. Finally, we apply granule description methods to build concept lattice, property-oriented concept lattice and object-oriented concept lattice, propose some algorithms for building concept lattice, property-oriented concept lattice and object-oriented concept lattice, and give some examples and experiments to show the utility of algorithms. © 2013 IEEE.
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页码：12592 / 12606
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