Topological Generalizations of Rough Concepts
Digraph
Out-degree sets
In-degree sets
Topological spaces
Subbase
Rough sets
Rough
approximations
Rough measures
The importance of topology as a tool in preference theory is what motivates this study in which we characterize topologies generating by digraphs. In this paper, we generalized the notions of rough set concepts using two topological structures generated by out (resp. in)-degree sets of vertices on general digraph. New types of topological rough sets are initiated and studied using new types of topological sets. Some properties of topological rough approximations are studied by many propositions.