Mixed γ-fuzzy sets: topological structures and properties

Abstract

In the field of fuzzy mathematics, mixed γ-fuzzy sets, which include both conventional fuzzy sets and intuitionistic fuzzy sets, have become an effective tool. The extensive uses of mixed γ-fuzzy sets in the field of mixed fuzzy topological spaces are explored in this study. The study begins by providing a comprehensive introduction to mixed γ-fuzzy sets, elucidating their essential characteristics and operations. Key concepts such as mixed γ-fuzzy neighborhoods, mixed γ-fuzzy closure, and mixed γ-fuzzy interior are introduced and analyzed, providing a powerful tool for handling uncertainty in topological spaces.