NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES

NORMALITY AND REGULARITY OF PYTHAGOREAN FUZZY CELLULAR SPACES

N. B. Gnanachristy, G. K. Revathi, W. Obeng-Denteh

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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 PFcelq-normal, PFcel ultra normal, PFcel completely ultra normal, PFcel quasi normal is defined in Pythagorean fuzzy cellular space and interrelations are explored.

Keywords

Pythagorean fuzzy cellular space, Pythagorean fuzzy cellular q normal, PFcel ultra normal, PFcel quasi normal and PFcel regular space.