Asymptotically I-Invariant statistical equivalence of sequences of set defined by a modulus function

Abstract

In this paper, we introduce the concepts of strongly asymptotically I-invariant equivalence, f-asymptotically I-invariant equivalence, strongly f-asymptotically I-invariant equivalence and asymptotically I-invariant statistical equivalence for sequences of sets. Also, we investigate some relationships among them.