The　concept　of　dual　hesitant　fuzzy　linguistic　set　is　based　on　dual　hesitant　fuzzy　set　and　lin-　guistic　variables.　Motivated　by　this　idea,　this　paper　proposes　the　concept　of　interval-valued　dual　hesitant　uncertain　linguistic　set　used　to　solve　more　complex　decision　making.　Firstly,　this　paper　studies　the　concept,　operations,　score　function,　accuracy　function,　Hamming　distance,　and　ranking　method　of　interval-valued　dual　hesitant　uncertain　linguistic　variables.　Then,　the　interval-valued　dual　hesitant　uncertain　linguistic　generalized　Banzhaf　Choquet　integral　operator　is　proposed.　Meantime,　some　properties　of　this　operator　are　investigated.　To　determine　the　optimal　fuzzy　measure　on　criteria　set,　the　model　based　on　maximization　deviation　method　and　Banzhaf　function　is　established.　Furthermore,　an　approach　to　muti-criteria　deci-　sion　making　problem　with　incomplete　weight　information　and　interactive　condition　under　interval-valued　dual　hesitant　uncertain　linguistic　environment　is　developed.　Finally,　an　example　is　shown　to　verify　theeectiveness　of　the　given　method.　©　2018,　Editorial　Board　of　Journal　of　Systems　Engineering　Society　of　China.　All　right　reserved.