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In this paper, we construct a P2P dynamic trust management system based on the concept of trust network that covers aggregation computation of trust degree, the selection of trust chains and the assessment of overall trust. In particular, we optimized the searching algorithm of trust chains and the calculation of recommendation trust. The results of simulation show that the system can ameliorate the current research with respect to the overhead of computation and the lack of reliability. The constructed dynamic trust management system can provide network nodes with trust value effectively, objectively and dynamically, which can ensure the security and the stability of information systems.