On rough I-statistical convergence of complex uncertain sequences

Abstract

In this paper, we introduce the notion of rough $\mathcal{I}$-statistical convergence of complex uncertain sequences in four aspects of uncertainty, viz., almost surely, measure, mean, distribution as an extension of rough convergence, rough statistical convergence, and rough $\mathcal{I}$-convergence of complex uncertain sequences. Also, we explore the concept of rough $\mathcal{I}$-statistical convergence in $p$-distance, and rough ${\mathcal{I}}$-statistical convergence in metric of complex uncertain sequences. Overall, this study mainly presents a diagrammatic scenario of interrelationships among all rough $\mathcal{I}$-statistical convergence concepts of complex uncertain sequences and include some observations about the above convergence concepts.