Abstract: Mobile multimedia and mobile Internet arc the the important directions of mobile service development.However, it is the high cost with high data transmission rate of wireless multimedia communication service. Under the premise of no increasing the investment in hardware, the personalized service could be applied to mobile service not only reducing wireless multimedia communication cost but also without reducing quality of mobile service for users. It advanced a kind of model on tree graph which works on server-side. It integrated individual requirements of users in mobile terminal with recommended information resources on the Internet together in order to organize multicast push. The paper drew into the theory of interval valued fuzzy sets and explained the method of model on tree graph in theory, brought forward a series of correlative definitions and formulae on founding the model and designai an algorithm on founding and updating the node of the tree graph. Finally, it useed an implement of well-ordered to strictly prove the determinacy of the algorithm, and then, analyzed time complexity of the algorithm. On the theory, the algorithm is proved of the traits of determinacy, validity and low time complexity. It should be considered that the works is a useful attempt in the research fields.

Key words: Mobile service, Personalized service, Interval-valued fuzzy sets, Model on tree graph, Arithmetic