Dependence and Algebraic Structure of Formal Contexts
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.
KeywordsFormal contexts Concept lattices Dependence Algebraic structure
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