In view of the multi-objective decision problem that the attribute values are interval grey numbers and the attribute
weights partially known, considering the impact on the multi-objective decision from risk attitudes, the multi-objective grey target decision-making method based on prospect theory is proposed. Firstly, the interval number linear transformation operator with the features of the “rewarding good and punishing bad” is used to standardize the original decision-making information and get the positive and negative ideal bull’s eye. According to the prospect theory and grey target decision making method, the prospect value function is defined, and an optimization model is built, then the optimum weight vector is solved, and the order of the program is determined. Finally, an example shows the feasibility and effectiveness of the model, and illustrates that the proposed model is suitable used in multi-objective decision making with interval numbers.