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Network coverage is one of the most critical issues to implement Wireless Sensor Networks (WSNs). It is important to find out a sensor set with maximal residual energy to cover all points of interest (PoIs). This issue was named as minimum weight sensor coverage problem (MWSCP) based on a boolean disc model and a probabilistic sensing model in the literature. In this paper, we introduce intelligent algorithms to solve this problem, yielding a better solution to MWSCP to extend network lifetime. Simulation results are conducted to demonstrate the effectiveness of our proposed algorithm in terms of network lifetime over existing algorithms.