The aim of this paper is to introduce the concept of generalized regular
closed sets and study some of its properties . The corresponding
topological space formed by the family of these sets is also studied. It
may be noted that regular closed set doesn’t forms even a supra topological
space. Various researchers had studied the concept of generalized
closed sets and regular generalized closed sets earlier. The generalized
closed set is properly placed between the generalized regular closed sets
and regular generalized closed set. The connection of the topological
space formed by the newly defined sets with other topological space are
also discussed in this paper and some applications of this newly defined
set are also shown.