In multi-attribute group decision-making problem with incomplete weight information, after different participants provide the possible conflict preference such relations. This problem can be defined as i relations on alternatives, it is necessary to judge the consistency of dentifying a set of weights to achieve a compromise of the conflict on different preference. The paper first gives the definition of ＇significance degree＇ on order relation, then constructs a （{0, 1 } mixed integer linear programming model. This model can not only judge the existence of compromise weight, but also identify some ＇ the least important preference orders＇ that result in the nonexistence of compromise weight. Furthermore, we prove that compromise weights can be achieved by participants＇ adjustments on these order relations. At last, an example is given to demonstrate the validity and rationality of this model