The establishment of trust-relationships, in a sense, averts the potential dangers which caused by the aimless interaction between entities. This paper proposes the technical route and the complete prediction model for the dynamic trust-relationships prediction aims at the limitation of historical evidence and the dynamic nature of trust-relationships. This model can do screening for malicious recommendation and wrong recommendation, and encourage or punish the historical trust degree by means of fuzzy weight, fully reflect the importance of weight upon the dynamic nature of the model and the essential characteristics of trust-relationships between entities. This model, whose algorithm bears better convergence and expansibility, does not possess complicate computation.