Topological Structure of Pawlak Approximation Spaces and Generalized Rough Sets

The rough set theory is based on the foundation information systems. The structure of information systems is closely related to the equivalence relation, which is a special type of relation in mathematical sense. Rough set approximation is concerned with imperfect or vague information and taking the fundamental science center, which uses mathematics effectively. Approximation operators play an important role in constructing uncertainty. Beginning at this point, there is a connection between the approximation operators and the topology, which is an important branch of mathematics. In this study, the similarities of basic topological concepts and concepts in rough set theory will be given comparatively. The generalization of the lower and upper approximation operators forming the dual pair in Pawlak approximation spaces and the relations between them will be examined