Iλ-Statistically Convergent Functions of Order α

Abstract

The purpose of this paper is to introduce the notion $\mathcal{I}$-$\left[V,\lambda \right]$-summability and $\mathcal{I_\lambda}- $statistical convergence of order $\alpha$
with respect to the intuitionistic fuzzy norm $\left( \mu ,v\right) $,
investigate their relationship, and make some observations about these
classes. We mainly study the relation between these two new methods as
also the relation between $\mathcal{I_\lambda}$-statistical convergence of order $\alpha$
and $\mathcal{I}$-statistical convergence of order $\alpha$ in intuitionistic fuzzy normed
space $\left( \mu ,v\right) $.