Transformation Properties in Attribute Topology and Attribute Partial Ordered Structure Diagram

Attribute Topology (AT) and Attribute Partial Ordered Structure Diagram (APOSD) are both important research methods of Formal Concept Analysis (FCA) and Knowledge Discovery. Each of them can transform into the other with solid mathematical foundation and specific algorithm. Basing on set theory, this paper mainly researches and identifies the properties between related attributes, between attribute and AT, between attribute and APOSD. All of above is for the purpose of clarifying the relationships and properties in the transformation of AT and APOSD.