Let X be a fuzzy path connected topological space and (H, be the fuzzy sheaf of fundamental groups över X. Constructing the group of fuzzy sections, it is shown that there is a covariant functor from the category of fuzzy path connected topological spaces and fuzzy continuous mappings to the category of groups of fuzzy sections and homoınorphisms. Purthermore, defining the direct sum of the fuzzy sheaves, it is proved that the mapping J^i = (Pi,P*) '■ (A^ı X X2, X H2) —> {Xi,Hi) is a homomorphism for t = 1,2.