Attribute Characteristics Analysis and Compare between AT and APOSD

Attribute Topology (AT) is a simple and visual representation method of formal concept. By AT, the formal concept can be computed visually and parallel. Attribute partial ordered structure diagram (APOSD) is based on the partial order relationships in math and focus on the cover and inclusion among attributes. Although AT and APOSD have already achieved mutual transformation, the definition and characteristics of attribute is not universal. This paper mainly analysis and compares the definition of attributes in AT and in APOSD, and demonstrate the equivalence of correspondingly attributes.