A hierarchical structure of formal context

Formal concept analysis is one kind of efficient approaches for data analysis, formal context and concept lattice are two basic notions. In this paper, by defining the dependence of attributes, one type of partial order relation among sub-contexts is investigated in detail. In the meantime, by introducing the notion of independence of a formal context, reduction of formal context is discussed. Consequently, one type of partition of attribute set is obtained, and a hierarchical structure on the attributes set of formal context is revealed.