Dependence and algebraic structure of formal contexts

Authors:
Tong-Jun Li;Ying-Xue Wu;Xiaoping Yang
Affiliations:
School of Mathematics,Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, China;School of Mathematics,Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, China;School of Mathematics,Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, China
Venue:
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Year:
2011

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Abstract

Formal concept analysis is an important approach of knowledge representation and data analysis. This paper focus on the dependence among formal contexts with common object set. A partial order relation among formal contexts is first introduced and its properties are examined. Subsequently, The notion of independence of a formal context is proposed by which attribute reduction of formal context is investigated. An useful conclusion is obtained, that is, all formal contexts with common object set form a lattice.