Rough Statistical Convergence in L-Fuzzy Normed Spaces

Abstract

The present study introduces the concept of rough convergence and rough statistical convergence of a sequence in ℒ −fuzzy normed spaces. Moreover, it defines the rough statistical limit points and rough statistical cluster points of a sequence in these spaces. It proves some topological properties of a sequences rough statistical limit set in the mentioned spaces. Afterward, it theoretically contributes to these concepts and investigates some of their basic properties. Lastly, the paper inquires about the need for further research.