Logistics　provider　selection　is　a　multi-criteria　decision-making　problem　faced　by　e-commerce　companies.　Considering　the　complexity　of　the　problem　and　the　uncertainty　of　the　decision　information,　an　integrated　approach　of　GTOPSIS　is　proposed　for　evaluating　and　selecting　the　most　suitable　logistics　provider.　The　GTOPSIS　approach　integrates　the　three-parameter　interval　grey　number　(T-PIGN)　into　the　technique　for　order　preference　by　similarity　to　ideal　solution　(TOPSIS).　It　allows　decision-makers　to　use　T-PIGN　to　represent　the　performance　of　the　alternatives　which　can　retain　and　utilise　the　original　uncertain　assessment　information　of　alternatives　to　the　greatest　extent.　Besides,　the　PERT　distribution　is　adopted　to　weight　the　three　parameters　of　T-PIGN.　A　real-life　case　study　is　presented　to　demonstrate　the　practicality　and　effectiveness　of　the　GTOPSIS　approach.　Copyright　©　2022　Inderscience　Enterprises　Ltd.