Attribute characters of formal contexts under homomorphisms
Hongzhi Yang, Ming-Wen Shao
Abstract
Hongzhi Yang, Ming-Wen Shao
Abstract
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 and isomorphisms.
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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 and isomorphisms.
Key concepts: Homomorphism, Formal description, Relation (database), Computer science, Invariant (physics), Formal system, Formal methods, Formal language