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

Abstract

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.