Stability of a generalized quadratic functional equation in intuitionistic fuzzy 2-normed space

Abstract

In this paper, we recall the notion of intuitionistic fuzzy 2-normed space introduced by Mursaleen and Lohani\cite{muri} and using the direct method, we investigate the HyersUlam-Rassias stability of the following quadratic functional equation\begin{equation*}\label{main}f(ax+by)+f(ax-by)-\frac{a}{2}f(x+y)=\frac{a}{2}f(x-y)-(2a^{2}-a)f(x)-(2b^{2}-a)f(y)\end{equation*}in this space.