Considering the intuitionistic fuzzy multi-attribute decision-making problem that the decision makers with bounded rationality psychological characteristics and attribute weights and probability information of situation are completely unknown, a multi-attribute decision-making based on the prospect theory and Dempster-Shafer theory was proposed. Firstly, the probabilites of the states were calculated by Dempster-Shafer theory, and the decision-making weight functions of the states were determined. Then, the normal distribution probability density function was utilized to construct the intuitionistic fuzzy reference point. Based on the difference between the attribute value and the reference point, the value function matrix and the prospect value matrix were obtained. In addition, an optimization model was developed to derive the attribute weights with the principle of maximizing the comprehensive prospect value, and all the alternatives were further ordered. Finally, the proposed approach was applied to a numerical example about the selection of game products. The experimental results show that the decision-making results are reasonable and reliable, and the actual situation can be reflected.