f-Asymptotically I_2^σ-Equivalence of Double Sequences of Sets

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