In　this　paper,　a　fuzzy　risk-explicit　interval　parameter　programming　(FREIPP)　approach　was　provided　for　multiple　energy　supply　and　demand　management　in　microgrid　system　under　uncertainties.　The　FREIPP　method　integrates　risk-explicit　interval　linear　programming　and　fuzzy　theory　within　a　general　framework.　It　can　tackle　fuzzy　and　interval　uncertainties　in　terms　of　various　cost　coefficients,　forecasted　load　demand,　decision　maker＇s　risk　attitude　and　other　uncertainties　in　microgrid　system　management.　Compared　with　traditional　interval　parameter　programming,　the　proposed　method　has　distinct　advantages　in　minimizing　the　system　cost　and　risk　simultaneously　and　providing　more　risk　explicit　solutions　with　the　regard　of　obscure　risk　preference　of　decision　maker.　The　FREIPP　approach　was　successfully　applied　in　a　microgrid　system　with　combined　cooling,　heating　and　power　(CCHP)　generation　for　three　types　of　decision　maker　(i.e.　defensive,　neutral　and　aggressive).　The　obtained　results　indicated　that　the　proposed　FREIPP　approach　could　provide　optimal　operation　strategies　with　explicit　cost-risk　tradeoff　information　for　decision　maker　when　facing　multiple　complex　uncertainties.　Furthermore,　it　could　help　decision　maker　with　different　risk　tolerance　select　desired　optimal　risk-aversion　strategies,　which　is　more　realistic　in　real-world　decision　making　process.　(C)　2018　Elsevier　B.V.　All　rights　reserved.