To　solve　decision-making　problems　having　the　characteristics　of　grey　systems,　the　three-parameter　interval　grey　number　is　introduced　to　measure　the　evaluation　index.　The　evaluation　matrix　is　standardized　from　two　aspects:　type　consistency　and　nondimensionalization.　Taking　into　account　the　upper　and　lower　limits　as　well　as　the　center　point　of　the　three-parameter　interval　grey　number,　the　sorting　method　and　distance　calculation　method　of　the　three-parameter　interval　grey　number　based　on　possibility　are　put　forward.　A　technique　for　order　preference　by　similarity　to　ideal　solution　(TOPSIS)　decision-making　method　based　on　three-parameter　interval　grey　numbers　is　proposed.　Finally,　an　example　is　given　to　demonstrate　the　validity　and　effectiveness　of　the　method.　©　2019,　Editorial　Office　of　Systems　Engineering　and　Electronics.　All　right　reserved.