The　integrated　energy　system　(IES)　can　promote　the　accommodation　of　renewable　energy,　achieve　efficient　energy　utilization,　and　reduce　carbon　emissions,　which　is　a　crucial　direction　of　energy　system　transformation　development.　This　study　proposes　an　optimal　design　and　scheduling　operation　framework　of　photovoltaic-windhydrogen-based　IES　coupled　with　multiple　heterogeneous　energy　flows　and　energy　storages　for　urban　communities.　The　carbon　trading　mechanism　and　uncertainty　of　renewable　energy　output　are　taken　into　account,　where　the　uncertainty　can　be　tackled　by　fuzzy　chance　constrained　programming　(FCCP)　method　through　a　clear　equivalent　transformation　to　the　fuzziness　of　forecast　error.　Then,　a　case　study　with　the　minimum　sum　of　multiple　costs　over　a　day-ahead　planning　horizon　is　employed　to　validate　the　applicability　of　the　proposed　IES,　in　which　various　operation　scenarios　regarding　system　configuration　and　confidence　levels　with　comprehensive　performance　evaluation　are　investigated　and　analyzed.　The　simulation　results　indicate　that　compared　with　the　reference　system,　primary　energy　saving　rate,　total　cost　saving　rate,　and　CO2　emission　reduction　rate　of　the　proposed　IES　are　45.18%,　11.39%　and　52.17%,　respectively.　Besides,　as　the　confidence　level　increases,　the　overall　performance　corresponding　to　evaluation　indicators　shows　a　downward　tendency.　Moreover,　a　reasonable　carbon　price　and　lower　natural　gas　price　will　improve　the　overall　benefits.　The　proposed　model　can　be　helpful　for　decision-makers　to　trade　off　the　pros　and　cons　between　system　performance　and　risk　and　provide　a　reference　for　similar　studies　and　applications.