A new decision-making method is proposed for the multi-criteria group decision-making problem, which is related to expert evaluation of intra-group dominance relationship and combines TODIM and PROMETHEE decisionmaking methods in PLZN (probabilistic linguistic Z-number) environment. It not only avoids the compensation problem of TODIM method, but also reflects the weight of criteria effectively. Firstly, the intra group dominance relationship is determined by introducing the new definition of influence factor, sensitive factor and additional factor, in which the sensitive factor plays an important role; then, the intra group deviation degree is defined according to the new dominance relationship, and the PLZNs of the same evaluation credibility is fused accordingly; besides, according to the credibility of each group of experts, the evaluation of different credibility is fused, and the comprehensive deviation degree is defined. Furthermore, by using a new decision-making method: TODIM-PROMETHEE, the weights of the criteria and the comprehensive dominance are obtained, and the order of alternatives is judged according to the net flow. Finally, an example is given to illustrate the effectiveness and feasibility of the new decision-making method.