Owing　to　the　technology　of　5G　and　beyond,　collaborative　edge　computing-as-a-service　has　enabled　trillions　of　interconnected　edge　applications.　It　has　also　become　a　prospective　paradigm　for　providing　computing　services　by　offloading　computationally　intensive　assignments　to　mobile-edge　servers　or　fog　nodes　due　to　terminals　constrained　computing　and　caching　resources.　Nevertheless,　in　this　process,　trust　of　computing-as-a-service　scheduling　and　edge　data　sharing　in　heterogeneous　systems　is　an　unavoidable　challenge　of　paramount　importance.　As　a　powerful　tool　that　addresses　security　issues,　blockchains　can　ensure　the　trustworthiness　and　irreversibility　of　computing　data　by　consensus　mechanisms.　However,　in　the　Industrial　Internet　of　Energy　(IIoE),　the　storage　burden　of　a　single　blockchain　has　increased.　Therefore,　from　the　perspective　of　a　stable　real-time　operation,　we　propose　a　multiedgechain　structure　that　accommodates　thousands　of　edge　data　and　promotes　on-chain　data　efficiency　to　achieve　cross-chain　edge　data　sharing　for　heterogeneous　blockchain　systems.　Moreover,　aiming　at　the　profits　of　computing　resource　scheduling　in　the　IIoE,　a　two-stage　Stackelberg　game　strategy　with　an　optimal　scheduling　demand　and　reward　is　provided　considering　the　edge　user＇s　preferences　and　risk　factors.　Finally,　the　simulation　results　verify　the　superiority　of　the　proposed　scheme,　regarding　the　game　equilibrium,　utility　optimization,　and　data　sharing　efficiency　of　cloud-edge　collaboration.