Rough Lacunary Statistical Convergence via Ideals in $\mathcal{L}$-Fuzzy Normed Spaces

Abstract

This article aims to explain and investigate the concept of rough lacunary statistical convergence of sequences through ideals in $\mathcal{L}$-fuzzy normed spaces. We introduce the notions of rough lacunary ideal statistical limit points, rough lacunary ideal cluster points, and rough lacunary ideal boundedness within these spaces. Additionally, we examine the theory of convexity and closedness in relation to the set of approximate statistical limit points.