REGULARITY IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES VIA DELTA BETA -OPEN SETS

Abstract

In this paper, we introduce Pythagorean fuzzy nano regular spaces and their variants—δ-, δ-pre-, δ-semi-, δα-, and δβ-regular spaces—defined via Pythagorean fuzzy nano δ-type open sets in Pythagorean fuzzy nano topological spaces. We also define the corresponding strongly Pythagorean fuzzy nano regular spaces. Furthermore, we examine interrelationships among these spaces, their connections to existing topological structures, and fundamental properties with characterizations.