First,in this paper, the fuzzy cycle matroids are constructed from fuzzy graphs and their properties are discussed;Then,the fuzzy isomorphism of fuzzy matroids is defined. On the basis of a careful discussion of the fuzzy inomorphic properties,we generalize fuzzy cycle matroids to define fuzzy graphic matroids; At last, with the help of a good-cycle concept of fuzzy cycle matroids,a necessary and sufficient condition for a fuzzy matrids to be a fuzzy graphic matroids is given.