In this paper, the notion of fuzzy points in the linear space  of fuzzy m-normed matrices is introduced and bi-norm for matrix point in   is defined, with respect to this bi-norm, the matrix sequences and their properties are discussed. The famous Hahn-Banach theorem is proved in the realm of fuzzy bi-normed linear spaces in  and then the fundamental theorems; namely, the open mapping theorem, the closed graph theorem and the uniform boundedness principle theorem are established in fuzzy setting.

m-norm, fuzzy point, bi-norm, Cauchy sequence, convergence, complete.