Generalization of Open Sets in Pythagorean Fuzzy Nano Topological Spaces and its Real Application

Abstract

The purpose of this paper is to define and study a new class of sets called Pythagorean fuzzy nano  (resp. ,  and pre)-open sets in Pythagorean fuzzy nano topological spaces. Basic properties of Pythagorean fuzzy nano  (resp. ,  and pre) -open and their respective closed sets are analysed. We also used them to introduce the new notions like Pythagorean fuzzy nano  (resp. ,  and pre)-closure (resp. interior) and their relations with already existing well known sets are also investigated.