Considering　the　uncertainty　of　language　assessment　in　decision　makers,　the　interval　value　is　used　to　indicate　the　language　evaluation　grade.　Combining　the　Dempster-Shafer　theory(DST)　and　data　envelopment　analysis(DEA),　a　hybrid　multi-attribute　decision　making　method　based　on　the　interval　belief　structure　is　proposed.　Firstly,　by　using　the　interval　cross　efficiency　model　to　construct　the　decision-making　units　interval　belief　structure　of　quantitative　indicators,　taking　the　evidence　reasoning　nonlinear　optimization　model　to　aggregate　the　interval　belief　structure,　the　interval　belief　structure　of　the　quantitative　indicators　of　decision-making　units　is　converted　into　distributed　evaluation　vectors　with　interval　belief　according　to　the　principle　of　utility(value)　equivalence.　Then,　the　interval　belief　structure　of　the　quantitative　and　qualitative　indicators　is　integrated　through　the　evidence　reasoning　nonlinear　optimization　model,　and　the　distributed　evaluation　vectors　of　the　total　interval　belief　structure　of　the　decision-making　units　are　obtained,　and　the　expected　utility　theory　is　used　to　rank　decision-making　units.　Finally,　a　numerocal　example　is　given　to　illustrate　the　feasibility　and　effectiveness　of　the　proposed　method.　©　2019,　Editorial　Office　of　Control　and　Decision.　All　right　reserved.