Abstract. In the present paper, we introduce the notion of [V,  λ] (I)-summability and I_λ -statistical convergence of a nonnegative real-valued Lebesque measurable function in the interval (1;∞) with respect to the intuitionistic fuzzy norm (μ, ϑ), investigate their relationship, and make some observations about these classes. We mainly examine the relation between these two new methods and also the relation between I_λ -statistical convergence and  I-statistical convergence in intuitionistic fuzzy normed space  (μ, ϑ).

Keywords: Ideal, Filter,  I-Statistical Convergence of Function, I_λ -Statistical Convergence of Functions,  [V,  λ] (I)-Summability, Intuitionistic Fuzzy.

AMS Subject Classification: 40G99.