A new method, based on the ULWM operator and ULHA operator, of multiple attribute group decision-making is studied in this paper, with uncertain linguistic information of the attribute weights and attribute values. Firstly, the concept of ULWM operator is defined. Some characters of ULWM operator are discussed. The synthesis attribute values of alternatives are concentrated through the ULWM operator. The group synthesis attribute values of alternatives are concentrated through the ULHA operator. Then, compared with the values of all alternatives by the probability formula, the probability matrix is gained. Finally, all alternatives are ranked by a formula to the fuzzy complementary judgment matrix. An example shows the effectiveness of this method.