Abstract:According to the multi-criteria decision making problems with fuzzy criteria values, a decision making approach based on the prospect theory and the VIKOR method is proposed. Firstly, the interval numbers, the triangular fuzzy number, the trapezoidal fuzzy number, the intuitionistic fuzzy number and the linguistic information are nondimensionalized. Then, the median reference points are given based on the order of all the alternatives with different criteria under all the conditions, thus the comprehensive prospect values of each alternative under each criterion are obtained. Furthermore, the extended VIKOR method is proposed based on the prospect value matrix. Finally, an example illustrates the feasibility and effectiveness of the proposed method.