The　fuzzy　data　envelopment　analysis　(FDEA)　method　lacks　sufficient　discrimination　power　to　rank　efficient　decision　making　units　(DMUs)　with　fuzzy　data;　moreover,　it　evaluates　DMUs　using　only　self-evaluation.　This　paper　develops　the　fuzzy　cross　efficiency　(FCE)　DEA　model　that　combines　self-evaluation　with　peer-evaluation　to　eliminate　the　weaknesses　of　traditional　FDEA.　This　method　solves　the　efficiency　evaluation　problem　in　fuzzy　environments　from　a　new　perspective.　An　effective　method　is　provided　to　solve　this　model,　and　the　ranking　results　of　DMUs　at　different　α-levels　are　obtained.　Finally,　an　example　is　given　to　illustrate　the　proposed　method　in　greater　detail.　©　2016　-　IOS　Press　and　the　authors.　All　rights　reserved.