The purpose of this paper is first to introduce the notation of matrix intuitionistic fuzzy normed spaces, and then by virtue of this notation to study the Hyers-Ulam stability results concerning the mixed type additive-quadratic functional equation

$$\begin{gathered} 2k[f(x+ky)+f(kx+y)]=k(1-s+k+ks+2k^2)f(x+y) \\ +k(1-s-3k+ks+2k^2)f(x-y) \\ +2kf(kx)+2k(s+k-ks-2k^2)f(x)+2(1-k-s)f(ky)+2ksf(y) \end{gathered}$$

in the setting of matrix intuitionistic fuzzy normed spaces by applying two different methods, where $s$ is a parameter, $k>1$ and $s\ne 1-2k$. Moreover, the interdisciplinary relation between the theory of matrix intuitionistic fuzzy normed spaces and the theory of functional equations are also presented in this paper.