Fuzzy divergence measures and inequalities have recently been widely applied in the fuzzy comprehensive evaluation and information theory. In view of the importance of fuzzy information measures and fuzzy inequalities, the paper presents a sequence of fuzzy mean difference divergence measures along with the proof of their validity. Further, it introduces a sequence of inequalities among some of these fuzzy divergence measures. Finally, a numerical example is given to verify the inequalities of proposed fuzzy mean difference divergence measures.