- - - Department of Mathematics, College of Education for Pure Science, Ibn AL-Haitham, University of Baghdad, Baghdad-Iraq.

The theory of general topology view for continuous mappings is general version and is applied for topological graph theory. Separation axioms can be regard as tools for distinguishing objects in  information systems. Rough theory is one of map the topology to uncertainty. The aim of this work is to  presented graph, continuity, separation properties and rough set to put a new approaches for  uncertainty. For the introduce of various levels of approximations, we introduce several levels of  continuity and separation axioms on graphs in G_m-closure approximation spaces.

Rough sets, G_m-closure space, Approximation spaces, lower and upper approximation spaces, Rough continuity, Rough separation axioms