In this paper we introduce the concept of rough I-statistical φ-convergence of real numbers as a generalization of rough statistical convergence as well as I-statistical φ-convergence. We study some of its fundamental properties. We obtain some results for rough I-statistical φ-convergence by introducing the rough I-statistical-φ limit set. So our main objective is to find out the different behaviour of the new convergence concept based on rough I-statistical-φ limit set.
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