A Study of Fuzzy Generalized #Rg-Closed Sets and their Role in Fuzzy Topological Spaces

Abstract

Fuzzy topological spaces offer a natural extension of classical topological spaces by incorporating degrees of membership for points. In this study, we explore the concept of fuzzy generalized #rg-closed sets, a fusion of fuzzy sets, generalized closure operators, and the #rg-closed property. The primary objective of this investigation is to analyses the characteristics, properties and the functional role of fuzzy generalized #rg-closed sets within the framework of fuzzy topological spaces.