Topological structure of generalized rough graphs

الملخص EN

The main purpose of this paperis to introduce a topological space(D, td), which is induced by reflexive graph and tolerance graph D, such that D may be infinite.

Furthermore, we offer some properties of (D, td) such as connectedness, compactness, Lindelöf and separate properties.

We also study the concept of approximation spaces and get the sufficient and necessary condition that topological space is approximation spaces.