Abstract: With respect to the problem of multiple attribute decision-making with incomplete information on attribute weights to which the attribute values are given in terms of interval numbers, a decision method based on projection technique and prospect theory is proposed. The value function is built based on the distance formula of interval numbers, conbining with the idea of projection technique the multi-goal programming model is established to get a more accurate decision weights by using different approch on gains and lossed. Furthermore, the optimal solution based on the value of all programs sorts is figured out in the method with the comprehensive prospect values of each program calculated with the value function and decision-weighting function. Eventually, the feasibility and effectiveness of the proposed method is reasonably verified through solving a typical multi-attribute decision-making problem about the property buyers decision.