Weaker forms of open sets in Pythagorean Fuzzy nano topological spaces and its application using entropy measure

Abstract

In this paper, we introduce a Pythagorean Fuzzy nano M-open set which is the union of Pythagorean Fuzzy nano δP-open sets and Pythagorean Fuzzy nano θS-open sets in Pythagorean Fuzzy nano topological spaces. Also, we discuss about near open sets, their properties and examples of a Pythagorean Fuzzy nano M-open set. Moreover, we investigate some of their basic properties and examples of Pythagorean Fuzzy nano M-interior and M-closure in a Pythagorean Fuzzy nano topological spaces. One real life applications, one on better way of shopping, based on this proposed entropy measure are also illustrated.