In granular computing granular structures represent knowledge on universe,in this paper several important granular structures are considered.In a general granular structure the notions of interior point, accumulation point and boundary point etc are proposed,by use of these notions and referring to topological method,the lower and upper approximations of a subset of universe are defined such that they are one kind of generalization of the existing approximations based on some special granular structure.Basic properties of new rough set approximations are investigated.Furthermore,granular structures on universe are characterized by the lower and upper approximation operators. In granular computing granular structures represent knowledge on universe, in this paper several important granular structures are considered. In a general granular structure the notions of interior point, accumulation point and boundary point etc are proposed, by use of these notions and referring to topological method , the lower and upper approximations of a subset of universes are defined such that they are one kind of generalization of the existing approximations based on some special granular structure.Basic properties of new rough sets approximations are investigated.Furthermore, granular structures on the universe are characterized by the lower and upper approximation operators.