Construct new lattices based on rough set theory

Inspired by the theory of rough sets, this paper studies formal contexts from the viewpoint of approaximation operators. Firstly, a pair of approaximation operators are proposed based on a formal context, and the corresponding concept latices are constructed. Then, the relationship among these two lattices and the original concept lattice, the concept lattice of the complement of the original formal context, the object oriented concept lattice and the property oriented concept lattices are also studied.