Attribute Topology and Concept Lattice Bridged by Concept Tree

Attribute Topology (AT) and Concept Lattice are both concept computing methods in Formal Concept Analysis (FCA). Both of them can get the all of the concept in formal context. This paper mainly talks about the mutual transformation of AT and Concept Lattice in order to make clear the relationships between the two important branches of FCA. The result is that AT is the subset of Concept Lattice and the union set of all the concept tree, which is transformed from AT, is equal to Concept Lattice.