Aiming　at　the　multiple　uncertain　characteristics　of　MPSoC　system,　a　dynamic　heuristic　scheduling　algorithm　is　proposed　based　on　fuzzy　set　theory　for　multicore　processor　system.　This　algorithm　uses　fuzzy　sets　for　describing　the　multiple　uncertain　characteristics　of　system,　and　fuzzy　set　membership　calculation　for　determining　scheduling　priorities　of　tasks　and　resources　to　improve　the　capability　of　concurrent　execution.　It　presents　a　comprehensive　estimation　of　the　earliest　available　time　and　utilization　of　resources.　It　selects　the　processor　closest　to　the　average　estimation　to　increase　utilization　ratios　and　balance　loads　on　processors.　The　simulation　results　show　that　the　proposed　algorithm　outperforms　other　original　algorithms　in　comprehensive　performances,　and　is　more　suitable　for　task　scheduling　in　complex　MPSoC　systems.