In　practical　group　decision　making　(GDM)　problems　adhere　to　uncertain　and　imprecise　data,　the　decision　makers　may　express　their　preferences　using　linguistic　terms.　The　aim　of　this　paper　is　to　present　a　method　to　assist　the　consensus　process　and　selection　process　of　multi-criteria　GDM　(MCGDM)　problem　under　linguistic　setting.　If　the　consensus　level　does　not　meet　predefined　requirements,　an　algorithm　is　provided　to　help　the　decision　maker　or　moderator　reach　the　consensus　goal.　Once　the　consensus　reaching　process　is　finished,　the　maximizing　deviation　method　is　used　to　derive　the　importance　weights　of　the　attributes.　Then,　the　linguistic　weighted　arithmetic　averaging　(LWAA)　operator　of　2-tuple　linguistic　variables　is　used　to　obtain　the　overall　assessment　value　of　each　alternative　and　the　ranking　order　of　all　alternatives　can　be　determined.　Finally,　one　example　of　personal　selection　problem　is　given　to　show　the　use　of　the　proposed　method.