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The basic purpose of our work is to define -statistical convergence for the generalized difference sequences (i. e. \ (\) -\ (ᵐ\) -statistical convergence) on Intuitionistic Fuzzy Normed space (IFN space). We have proven topological results about this generalized method of sequence convergence. Also, we have given the \ (\) -\ (ᵐ\) -statistical Cauchy sequences along with its Cauchy criteria of convergence on these spaces.
Antal et al. (Tue,) studied this question.