Besides the typical characteristics of scale-free network, the indispensable features of social networking services and microblog can not be described by existing models completely and accurately. Based on comparison and analysis of network data, a hybrid model was put forward to describe the features of formation and evolution of generalized social network. Average-field equations were constructed, and its solution showed that the degree distribution follows the translated and stretched power-law. The simulation results showed that the model can describe the overall characteristics of social network. Finally, several models, including this model, were compared, and reasons were given for the differences of features among the models.
