On some topological properties of intuitionistic 2-fuzzy n-normed linear spaces

Motivated by the notion of n-norm due to Gahler, in this article we define the concept  of intuitionistic 2-fuzzy n-normed space in general setting of t-norm as a generalization of intuitionistic fuzzy normed space in the sense of Bag and Samanta. Further we define the notion of alfa-n-norm corresponding to intuitionistic 2-fuzzy n-norm. In addition, we discuss some basic properties of convergence and completeness for intuitionistic 2-fuzzy n-normed spaces.