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In the paper, we introduce the notion of an formal contexts homomorphisms, which is a powerful tool to study the relation between two formal contexts. Based on the notion of homomorphisms of formal contexts, we discuss the invariant characters of formal contexts under homomorphisms, and reveal the relation of attributes characters and formal concepts between two formal contexts under homomorphisms...
In the paper, four kinds of pair of operators are discussed. Based on the discussed kinds of pair of operators, we introduced two type of formal concepts. The introduced formal concepts associate with a parameter delta, and we have different level formal concepts with different level delta.
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