This　paper　proposes　an　integrated　algorithm　to　determine　attribute　weights　and　decision-makers　weights　in　multi-attribute　group　decision-making.　Firstly,　the　new　weights　of　decision-makers　are　calculated　by　the　grey　correlation　coefficients　between　the　decision　result　of　the　individuals　and　the　group　and　combining　with　the　initial　weights　of　decision-makers.　Secondly,　the　new　weights　of　attribute　are　calculated　through　entropy　theory.　Then,　the　weights　adjustment　is　continued　on　the　basis　of　taking　into　account　the　similarity　of　the　two　decision　results　of　the　group　by　two　orders　Minkowski　distance,　and　the　above　process　will　be　repeated　to　get　steady　weights　and　final　result　of　the　group.　Finally,　a　numerical　example　to　evaluate　the　venture　capital　firm　shows　the　feasibility　and　practicability　of　the　proposed　algorithm.