On deferred \textit{I}\textendash statistical rough convergence of difference sequences in intuitionistic fuzzy normed spaces

Abstract

In this research article, using the concepts of deferred density and the notion of the ideal $I$, we extend the idea of rough convergence by introducing the notion of deferred $I$\textendash statistical rough convergence via difference operators in the framework of intuitionistic fuzzy normed spaces. We define a set of limits of this convergence and prove that the limit set is convex and closed with respect to the intuitionistic fuzzy norm. Furthermore, we develop the concept of deferred $I$\textendash statistical $\Delta^{j}_{r}$\textendash cluster point of a sequence in  intuitionistic fuzzy normed spaces and investigate the relations between the set of these cluster points and the limit set of the aforementioned convergence.