Aiming　at　the　situation　that　the　weights　of　decision　makers　and　criteria　are　both　unknown　in　group　decision　making　progress,　we　propose　a　liner　method　of　multi-attribute　decision　making　based　on　2-dimension　2-tuple　linguistic　representation　model.　Considering　the　relative　importance　of　the　first　dimensional　information　and　the　second　dimensional　information　of　2-dimension　2-tuple　linguistic　information,　the　score　function　and　distance　measures,　which　can　reflect　the　impact　of　the　change　of　the　proportion　of　the　relative　importance　on　the　score　function　for　comparing　two　2-dimension　2-tuple　linguistic　information　and　distance　measures　between　them,　are　proposed.　Then,　decision　makers＇　weight　and　criteria　weight　are　solved　simultaneously　by　constructing　a　model　that　the　objective　function　is　set　up　based　on　the　score　function　and　distance　measures,　and　constraint　conditions　are　established　based　on　the　entropy　value　of　decision　makers.　Furthermore,　the　corresponding　weights　information　which　makes　each　alternative　optimal　is　obtained　by　solving　different　models,　then　the　optimal　alternative　and　rank　alternatives　are　chosen　according　to　the　value　of　the　objective　function.　Finally,　the　case　analysis　and　comparison　verify　the　effectiveness　and　scientificalness　of　the　proposed　method.　©　2019,　Editorial　Office　of　Control　and　Decision.　All　right　reserved.