Group　decision　making　with　intuitionistic　fuzzy　preference　information　involves　three　steps:　the　consistency　checking　process,　the　consensus　checking　process　and　the　selection　process.　In　this　paper,　we　investigate　the　above　three　steps　with　respect　to　additive　intuitionistic　fuzzy　preference　relation　(IFPR).　Firstly,　a　consistency　index　is　introduced　to　measure　the　additive　consistency　level　of　IFPR　and　an　automated　approach　is　developed　to　improve　the　consistency　level　with　respect　to　IFPR　to　an　acceptable　level.　Meanwhile,　the　group　consensus　index　of　IFPR　is　defined　and　one　algorithm　for　reaching　acceptable　level　of　consensus　is　developed.　Secondly,　after　implementing　this　modified　algorithm,　consistency　index　and　group　consensus　index　are　investigated.　And　we　prove　that　they　can　hold　on,　even　receive　better　levels.　Thirdly,　a　framework　for　group　decision　making　is　developed　based　on　IFPR　with　additive　consistency　and　group　consensus.　Finally,　an　illustrative　example　is　presented　to　demonstrate　the　effectiveness　and　applicability　of　the　proposed　approach.　©　2016　Elsevier　Ltd