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

Authors : Ljubiša D. R. KOČİNAC, Vakeel Ahmad KHAN, K.m.a.s. ALSHLOOL, H. ALTAF

Pages : 208-220

Doi:10.15672/hujms.546973

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Publication Date : 2020-02-06

Article Type : Research Paper

Abstract :Motivated by the notion of $n$-norm due to Gähler, 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 $\alpha$-$n$-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.
Keywords : intuitionistic fuzzy set, fuzzy set, 2 fuzzy n normed space, t norm, t conorm