Generalization of intuitionistic fuzzy $n$-normed spaces via $\psi$-extensions

The aim of this paper is to study the generalization of intuitionistic fuzzy normed spaces to intuitionistic fuzzy $n$-normed spaces. In this framework, we discuss intuitionistic fuzzy $n$-continuity and intuitionistic fuzzy $n$-boundedness. Furthermore, we introduce the intuitionistic fuzzy $\psi$-$n$-normed space, which generalizes the intuitionistic fuzzy $n$-normed space. Several results and properties in this new set-up are also presented and analyzed.