According to the mapping relations between operational system-of-systems architecture and capability, the system-capability supernetwork model of the operational system-of-systems is established based on the system network and capability network. Then the concept of capability contribution degree is presented in order to find the capability emergence domain in terms of the supernetwork model. Finally, considering capabilities in the capability emergence domain as the index for evaluating supernetwork reasonableness, the semblance model between the practical and ideal supernetwork of operational system-of-systems is put forward by the Vague matter element theory and entropy weight method. The research can provide a way of modeling and optimizing operational system-of-systems for capability emergence.
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