Some results on intuitionistic 2- fuzzy n-normed linear spaces via ideal

Abstract

The concept of intuitionistic 2- fuzzy n- normed space defined in [8] and some basic properties of the usual convergence for the sequences in intuitionistic 2- fuzzy n- normed spaces were discussed. As we know that the notion of ideal convergence is one of the interesting generalization of the notion of usual convergence. In this article, we define the notions of ideal convergence and ideal Cauchy for the sequences in intuitionistic 2- fuzzy n- normed spaces. Further, we define some concepts related to intuitionistic 2-fuzzy n- normed spaces and study some theorems like, decomposition theorem and ideal convergence preserving linear operator, and some other topological and algebraic properties of these new notions.