Normality and regularity of Pythagorean fuzzy cellular spaces

Abstract

Normality and regularity are key separation axioms that helps to classify and understand the structure of topological spaces. This research article investigates the properties of normality and regularity within the context of Pythagorean fuzzy cellular spaces. Pythagorean fuzzy cellular space integrates Pythagorean fuzzy sets with cellular spaces, provide a robust framework for modeling and analyzing complex systems characterized by uncertainty and imprecision. In the the concepts of normality and regularity is defined formally in the context of Pythagorean fuzzy cellular space and explore their implications. This study establishes the theoretical foundations for analyzing normality and regularity in Pythagorean fuzzy cellular space, extending classical topological concepts to the fuzzy environment. In addition to it P Fcelq-normal, P Fcel ultra normal, P Fcel completely ultra normal, P Fcel quasi normal is defined in Pythagorean fuzzy cellular space and interrelations are explored.