On nano ẛـpreـgـopen set

الملخص EN

In this work, the notion Ňẛـpre ـg ـopenset is defined by using nano topological space and some properties of this set are studied also, nano ẛـpreـgـδـset and nano ẛـpreـgـμـclosedset are two concepts that are defined by using Ňẛـpre ـg ـopen set; many examples have been cited to indicate that the reverse of the propositions and remarks is not achieved.

In addition, new application example of nano ẛـpre ـg ـclosed set was studied.