Recommender Systems based on collaborative filtering could provide users with accurate recommendation. However, sometimes due to data sparsity and cold start of the input ratings matrix, this method could not find similar users accurately. In the past, researchers used implicit trust weight instead of the similarity weight to find similar users, to improve the quality of recommendation [17]. And
... [Show full abstract] they often ignore the role of explicit trust in the process of finding similar users. Therefore, in this paper, we explore the calculation of implicit trust and explicit trust. Then according to their role in the recommendation system, we propose a method that combined trust and similarity to get a better recommendation. At last, by experimenting on FilmTrust [5] data set which has the explicit trust matrix, the result showed that the method we proposed significantly improve the quality of recommendation, in addition, implicit trust and explicit trust have a positive effect on the quality of the results of recommendation.