The　aim　of　this　article　is　to　propose　a　multi-objective　decision-making　method　for　researching　and　solving　multi-attribute　heterogeneous　group　decision-making　problems.　This　is　in　the　case　that　the　characters　of　the　decision　information　and　decision　makers＇　preferences　are　heterogeneous,　and　the　weight　information　is　incomplete.　In　this　method,　the　multi-objective　decision-making　model,　which　considers　the　alternatives　decision　relative　closeness　and　the　preference　of　heterogeneous　degree　of　decision　makers　in　the　objective　function,　is　put　forward.　In　addition,　this　article　uses　the　minimax　method　to　derive　the　multi-objective　decision-making　model　and　obtain　the　attribute　weights　and　decision　makers　weights,　and　then　the　optimal　scheme　is　established.　Finally,　an　illustrative　example　shows　the　effectiveness　of　the　proposed　method.　Copyright　©　2018,　IGI　Global.