By　considering　both　fuzzy　completion　time　and　fuzzy　due　date　in　practice,　partner　selection　in　a　virtual　enterprise　under　these　circumstances　was　studied.　Based　on　the　agreement　index　to　maximize　the　minimum　customer　satisfaction,　partner　selection　problem　was　formulated.　For　solving　the　formulated　problems,　an　adaptive　genetic　algorithm　was　proposed　where　fuzzy　number　processing　methods　were　introduced　into　the　fitness　function.　The　simulation　results　indicate　the　feasibility　and　effectivity　of　the　proposed　method.