In　order　to　solve　the　flow　shop　multi-objective　scheduling　optimization　problem　and　the　algorithm　fitness　value　assignment　problem,　the　distribution　strategy　of　the　grey　entropy　relational　adaptive　value　is　proposed　combined　with　grey　correlation　analysis　method　and　the　theory　of　the　information　entropy,　and　the　fitness　value　is　calculated　combined　with　the　grey　correlation　and　entropy　weight　coefficient.　The　grey　entropy　correlation　grade　is　used　to　guide　the　evolution　of　the　heuristic　algorithm.　This　method　is　introduced　to　the　difference　algorithm　and　the　genetic　algorithm　to　solve　three　objective　flow　shop　scheduling　problem.　The　experimental　results　show　that　grey　entropy　relational　adaptive　value　allocation　strategies　can　solve　this　problem　effectively,　and　can　get　uniform　distribution　of　the　Pareto　front.　Meanwhile,　the　difference　algorithm　based　on　this　strategy　can　abtain　better　solutions　than　the　genetic　algorithm.