Aiming at the interference problem between decision-makers in uncertain group decision making, this paper proposes a new interference angle measure method based on quantum-like Bayesian network (QLBN). Firstly, the grey relational degree is extended to the positive and negative range, and then the grey relational degree is calculated according to the sequential growth trend, and it is transformed into the interference value. In this framework, the weights of the decision-makers are set as the first layer of QLBN, where they are determined based on the similarity between the personal opinion and the leading decision-maker’s opinion, and the conditional probabilities are calculated by combining the attributes’ weights and evaluation values. Finally, the quantum probabilities of alternatives are obtained. The alternatives are ranked according to the quantum probabilities, and the robustness and validity of the model are verified by numerical example. The result shows that the interference angle calculation method based on grey relational degree has a good performance in decision-making scenarios with incomplete information, and significantly improves the robustness and applicability of the quantum decision model.