Applications of Operations on Fuzzy Minimal Generalized Open Sets

Abstract

Within a generalized fuzzy topological space (GFTS), this study introduces fuzzy $\gamma_{\mu}$-open and closed sets. The fuzzy minimal $\gamma_{\mu}$-open sets notion is introduced and its key elements are studied. Sufficient conditions show that a fuzzy $\gamma_{\mu}$-locally finite GFTS meets specific criteria for pre-$T_{2}$ space.