Applications of Fuzzy Maximal $\mu$-open sets in Generalized Fuzzy Topology and Fuzzy Quasi Topology

Abstract

This work explores key characteristics of fuzzy maximal $\mu$-open sets in the setting of a generalized fuzzy topological space. A decomposition theorem for fuzzy maximal $\mu$-open sets is presented, along with fundamental results regarding their intersections. In addition, a formulation consistent with the fuzzy $\mu$-radical $\mu$-closure is established in the framework of quasi-fuzzy topological spaces other related findings.