Connections between two-universe rough sets and formal concepts

Rough sets and formal concept analysis are two complementary tools during the process of data analysis. Two-universe rough set model is one of generalization of the classical rough sets. In this paper, the connections between two-universe rough sets and formal concepts are discussed. We investigate the relations between two-universe rough sets and the object (attribute) oriented formal concepts. We also establish connections between revised two-universe rough sets and the object (attribute) oriented formal concepts. Meanwhile, relations between algebraic characterizations of two-universe rough sets and formal concepts are revealed. Some properties of two-universe rough sets are examined.