For the problem of uncertain multi-attribute decision making, the judgment information is given in the form of
two-tuple linguistic. Firstly, a clustering method is proposed based on the numerical value of the corresponding two-tuple linguistic information. Then, the density weighting vector determining method is presented, based on which, the two-tuple density operator(T-DM) is defined by combining the two-tuple linguistic density middle operator and the known information aggregation operators. Finally, an example is given to illustrate the application of the two-tuple density operator.