Dear, it said in section 3: The rough topology is contained in the nano topology defined on U

with respect to the equivalence relation R.

Furthermore, every rough open set is nano open but not conversely

Please see this attached file .

Also if there is a relation between nearly open sets and rough sets, then you can see this one 

superrr many thanks dear hanifa..

dear Hanifa i want to construct nano topological groups on rough sets with my phD student here

Nice, I wish you all the success. .

Dear this also a link on new generalized topology in terms of rough set called nano generalized topology

Keywords: rough sets, topological space, generalized topology, nano topology

http://waset.org/abstracts/28088

thanks