中文摘要：

利用多粒度粗糙集的上、下近似及其性质，结合模糊集的分解定理，研究多粒度模糊粗糙集的上、下近似的表示及性质，根据多粒度模糊粗糙集的上、下近似构造信任函数与似然函数。

英文摘要：

By using the upper and lower approximations and the properties of the multi-granularity rough sets,andcombining with fuzzy sets decomposition theorem,the representation and properties of upper and lower approximationsof multi-granularity fuzzy rough sets are studied.Based on the upper and lower approximations of fuzzy rough sets,thebelief function and the probability function are constructed.