In this paper we introduce the strongly generalized difference sequence spaces using non-negative four dimensional matrix of complex numbers. We also give natural relationship between strongly generalized difference ${V_{3_{\Gamma^{3}}}}^{\lambda_{3}}[A,\Delta^{m},p,f]$ — summable sequences with respect to $f$. We examine some topological properties of ${V_{3_{\Gamma^{3}}}}^{\lambda_{3}}[A,\Delta^{m},p,f]$ — spaces and investigate some inclusion relations between these spaces.