In the environment of heterogeneous wireless networks,it is vital to select a currently optimal network for applications and subscribers.The use of multiple attribute decision making(MADM)for heterogeneous network selection can provide subscribers with satisfactory service quality.Converting heterogeneous network selection into a MADM problem,the authors present an improved algorithm for MADM based on group decision theory.The algorithm combines weight vectors of multiple attribute decision making to obtain a combinational weight vector.Then the results’compatibility will be assessed.If they do not meet the requirements of compatibility,the judgment matrix will be modified until a comprehensive vector that satisfies compatibility requirements is produced.The vector is combined with simple weighting method(SAW)for network selection.Simulation shows that the algorithm can provide users with satisfactory quality of service(QoS). In the environment of heterogeneous wireless networks, it is vital to select a currently optimal network for applications and subscribers. The use of multiple attribute decision making (MADM) for heterogeneous network selection can provide subscribers with satisfactory service quality. Converting heterogeneous network selection into a MADM problem, the authors present an improved algorithm for MADM based on group decision theory. The algorithm combines weight vectors of multiple attribute decision making to obtain a combinational weight vector. The results’ compatibility will be assessed. If they do not meet the requirements of compatibility, the judgment matrix will be modified until a comprehensive vector of the claims compatibility requirements is produced. The vector is combined with simple weighting method (SAW) for network selection. Simulation shows that the algorithm can provide users with satisfactory quality of service (QoS ).