In this paper, we introduce the notion of $\mathcal{I}$ -statistical convergence and $\mathcal{I}$ -lacunary statistical convergence with respect to the intuitionistic fuzzy norm $\left( \mu,v\right) $ , investigate their relationship, and make some

In this paper, we present the notions of statistically convergent sequence for fuzzy variables, statistically Cauchy sequence in credibility space, and present a kind of statistical completeness for credibility space. Furthermore, the conditions of statistical convergence almost surely (a.s.), statistical convergence in credibility, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely (u.a.s.) of fuzzy variable sequences are examined. We have proved relations between these notions.

In this paper, we introduce a new type of convergence for a sequence of function, namely, λ-statistically convergent sequences of functions in fuzzy 2-normed space, which is a natural generalization of convergence in fuzzy 2-normed space. In particular, we introduce the concepts of uniform λ-statistical convergence and pointwise λ-statistical convergence in the topology induced by fuzzy 2-normed spaces, and give some basic properties of these concepts.