In this paper, we define ( N, pn ) summability with respect to the intuitionistic fuzzy norm (μ, υ). We use the concept of ( N, pn ) summability with respect to the intuitionistic fuzzy norm (μ, υ) to generalize the concept of statistical convergence with respect to the intuitionistic fuzzy norm (μ, υ). We call this new method as weighted statistical convergence with respect to the intuitionistic fuzzy norm (μ, υ). We also examine its relationship between statistical convergence and ( N, pn ) summability with respect to the intuitionistic fuzzy norm (μ, υ). [ABSTRACT FROM AUTHOR]