| Summary: | <p>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</p>
<p class="disp_formula">$ 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)$</p>
<p>in the setting of matrix intuitionistic fuzzy normed spaces by applying two different methods, where $ s $ is a parameter, $ k > 1 $ and $ s\neq 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.</p>
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