In this paper, we have defined rough statistical convergence in intuitionistic fuzzy normed spaces which is an useful characterization the field of convergence. We proved some properties related to provides new functional tools situation uncertainty like spaces. Further, established relationship between set limit points and cluster statistically convergent sequences these

In this paper, we define the space Sαθ (∆mv, f) of all f)-lacunary statistical convergent sequences order α with help unbounded modulus function f, lacunary sequence (θ), generalized difference operator ∆ mv and real number ∈ (0, 1]. We also introduce ωαθ strong summable α. Properties related to these spaces are studied. Inclusion relations between ωα θ established under certain conditions.

In this paper we presents three definitions which is a natural combination of the definition of asymptotic equivalence, statistical convergence, lacunary statistical convergence, σ-statistical convergence and Wijsman convergence. In addition, we also present asymptotically equivalent sequences of sets in sense of Wijsman and study some properties of this concept.

The notion of ideal convergence is a process generalizing statistical which dependent on the idea $I$ subsets set positive integer numbers. In this study we also present concept for triple sequences in fuzzy metric spaces (FMS) manner George and Veeramani terms Cauchy sequence $I^{∗}$-Cauchy FMS their certain properties.