f-Asymptotically J2 σ -equivalence of double sequences of sets

Abstract

In this study, first, we present the concepts of strongly asymptotically ℐ2 σ -equivalence, f-asymptotically ℐ2 σ -equivalence, strongly f-asymptotically ℐ2 σ -equivalence for double sequences of sets. Then, we investigated some properties and relationships among this new concepts. After, we present asymptotically ℐ2 σ -statistical equivalence for double sequences of sets. Also we investigate relationships between asymptotically ℐ2 σ -statistical equivalence and strongly f-asymptotically ℐ2 σ -equivalence.