To　deal　with　the　partner　selection　problem　with　fuzzy　completion　time　and　fuzzy　due　date　in　a　virtual　enterprise,　a　multi-objective　optimization　model　was　proposed.　The　objectives　of　the　optimization　model　were　to　maximize　the　minimum　customer　satisfaction,　the　average　customer　satisfaction,　and　minimize　the　completion　cost.　And　then,　the　deviation　method　of　minimum　subordinative　degree　was　used　to　convert　the　multi-objective　problem　into　several　single-objective　optimization　problems　that　were　solved　by　an　adaptive　genetic　algorithm.　By　introducing　fuzzy　number　processing　methods　into　the　fitness　function,　the　partner　selection　problem　with　fuzzy　numbers　was　solved.　Finally,　the　simulation　results　indicate　the　feasibility　and　effectiveness　of　the　proposed　method.