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Based on the theory of reliability and combined with the fuzzy fault tree analysis method, a new method of evaluation and functional optimization of earthquake resistance and disaster prevention system is proposed. Based on the establishment of fault tree of the system, aiming at the shortcomings of not considering the fuzziness and failure dependency in the traditional fault tree analysis, the reliability vector and the triangular fuzzy number method are used to evaluate the urban seismic capacity. At the same time, the impact of the failure dependency between events on the reliability of the fault tree system is also considered. Combined with the theory of reliability allocation, the optimized redistribution quantitative models of the reliability for every unit in the system are established, which provides a complete theoretical method for the evaluation and optimization of urban earthquake resistance capacity. Through an example, the calculation process of evaluation and the optimized redistribution of the reliability are described in detail. The research shows that this method is more general, for it can overcome the assumption in traditional method that the failure of each unit is random and independent with each other. Also, it can find out the weak links and achieve the optimal allocation of the system. © 2018 Disaster Advances. All rights reserved.
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