Methods of enhancing the energy efficiency of wireless sensor networks (WNSs) have been studied extensively in an effort to prolong the lifetime of and achieve effective geographic routing in WSNs; these methods involve the use of a sparse number of anchors, and color theory is employed in them to estimate the location of sensor nodes. In this paper, two methods of network-topology coverage are presented. In the first method, the mechanism of relay-node election is modified; this method differs from color-theory-based energy-efficient routing, and the use of the proposed method can reduce the transmission cost of a cluster head and thus create an energy-saving routing. In the second method, the fuzzy logical control (FLC) algorithm is used for selecting the cluster head and achieving an energy-consumption balance among all the nodes of a cluster. The simulation results presented here indicate that the use of the proposed methods not only reduces the energy required for the cluster head to transmit to the base station, but also substantially increases the efficiency of the transmission from the sensor nodes to the cluster heads.