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

Sadashiv G. Dapke

Abstract


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.

Keywords


Intuitionistic fuzzy $n$-normed space, Intuitionistic fuzzy $\psi-n$-normed space

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References


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DOI: http://dx.doi.org/10.23755/rm.v55i0.1716

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