Aiming at the problems of low quality of routing protocol links and larger energy consumption

a wireless sensor networks（ WSNs） routing algorithm based on entropy weight method and grey relational analysis（BEGRA） is proposed. Firstly

this algorithm establishes the evaluation indexes of next-hop node

then weight of each index is respectively determined by the method of entropy weight

the weighted correlation degree between the index vector and reference vector of the node are obtained through the correlation degree analysis method

finally the next-hop node is determined by the size of the node correlation degree and the node routing path is formed.Simulation results show that BEGRA effectively prolongs network life cycle

reduce the network energy consumption

and has good performance in terms of the efficiency of network data transmission.