In　order　to　solve　the　problem　of　objectively　evaluating　recommendation　trust　using　the　weight　of　third　party＇s　recommendation　in　the　development　of　a　solution　for　access　control　in　open　networks,　a　method　of　recommended　trust　evaluation　based　on　the　gray　correlation　analysis　is　proposed,　which　uses　grey　correclaton　analysis　theory　between　the　entities　of　the　development　trend　of　the　different　degree　to　evaluate　recommended　weight　in　open　network.　Examples　and　simulation　experiments　show　that　results　derived　from　the　computation　of　the　weight　of　the　recommending　entity　is　consistent　with　the　actual　results,　which　helps　to　verify　that　the　proposed　method　can　ensure　the　effectiveness　and　objectiveness　of　the　evaluation　decision　on　recommendation　trust.　©　2017　Peking　University.