Wijsman asymptotically ideal statistical sequences of order ( α , β ) under decision making

The statistical convergence of big data analysis is an essential tool for studying the stability of economic models and many computer vision and machine learning problems. In this paper, we propose the concepts of asymptotically ideal \(φ\)-statistical equivalent sequences of order \((α,β)\) in Wijsman sense by using Musielak-Orlicz function \(M =(F_n)\). We also make an effort to define the concept of asymptotic equivalence, statistical equivalent, \(φ\)-statistical equivalent sequences of order \((α,β)\) in Wijsman sense. We also define the concept of Ces\'{a}ro Musielak-Orlicz asymptoticallly \(φ\)-equivalent sequences of order \((α,β)\) in Wijsman sense and examine some algebraic and topological relationship between these concepts.