Abstract: In heterogeneous wireless network environments,there is a need to decide which network is the most suitable for each user at each moment for every application.To meet this demand,a network selection algorithm based on combinational weight is proposed.First,the analytic hierarchy process is applied to obtain the subjective weight of the network selection decision factor according to user demands.Then,the information entropy is used to decide the objective weight of the decision factor.To balance the subjective weight and the objective weight,a combinational weight is determined by using the game theory.After the selective networks are processed by the grey relational analysis,the optimum network could be selected according to the weighted grey relational degree.Simulation results show the algorithm can improve the accuracy of access selection for multi-mode terminals while balancing multiple decision criteria.