Topologies and approximation operators induced by binary relations
  Rough set theory is an important mathematical tool for dealing with uncertain or vague information. This paper studies some new topologies induced by a binary relation on universe with respect to neighborhood opera- tors. Moreover, the relations among them are studied. In additionally, lower and upper approximations of rough sets using the binary relation with respect to neighborhood operators are studied and examples are given. 
Nurettin Bagirmaz, A. Fatih Ozcan Hatice Tasbozan and Ilhan Icen
math.GM