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. © 2011 Springer-Verlag.
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Li, T. J., Wu, Y. X., & Yang, X. (2011). Dependence and algebraic structure of formal contexts. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6954 LNAI, pp. 51–56). https://doi.org/10.1007/978-3-642-24425-4_9
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