On some topological properties of intuitionistic2-fuzzyn-normed linear spaces

On some topological properties of intuitionistic2-fuzzyn-normed linear spaces

Motivated by the notion ofn-norm due to Gähler, in this article we define the conceptof intuitionistic2-fuzzyn-normed space in general setting oft-norm as a generalizationof intuitionistic fuzzy normed space in the sense of Bag and Samanta. Further we definethe notion ofα-n-norm corresponding to intuitionistic2-fuzzyn-norm. In addition, wediscuss some basic properties of convergence and completeness for intuitionistic2-fuzzyn-normed spaces.

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