On Rough I–αβ–Statistical Convergence of Order γ in Intuitionistic Fuzzy Normed Spaces

Abstract The concept of “αβ–statistical convergence of order γ” was developed by Aktug˘lu [1]. In this research article, we introduced the notion of “rough I–αβ–statistical convergence order γ” in the setting of intuitionistic fuzzy normed spaces. We find that the limit of this novel convergence is a set rather than a unique point. The study proves that the limit set is convex and closed with respect to the intuitionistic fuzzy norm. Moreover, we propose the notion of Ir– stγαβ –cluster points and establish the connections between the set of such cluster points and limit set of the above–mentioned convergence.