Recently, cluster distribution and selection have been made in the most advanced protocols based on Low Power Adaptive Clustering Hierarchical Protocol (LEACH), followed by cluster head election. Conversely, it is not thought that data redundancy is sufficient. This study suggests a modified Leach approach incorporating relative information entropy (Leach-CIE). The relative entropy value of the data’s probability distribution in the node’s two subsequent periods is calculated in conjunction with the close entropy model. The information is then compared with a threshold value to determine the degree of redundancy. The network accomplishes reducing energy consumption by refusing to transmit redundancy data. Instead, a multi-hop routing (MFRCRE) considers its residual energy, the energy consumption of each node in the network during the data transmission phase, by optimizing node forwarding conditions and considering factors such as communication distance and energy consumption. It is proposed to balance the rate—account ratio. The results of the experiments demonstrate that this approach can successfully reduce and balance the energy consumption of network nodes to increase the life of the network.