Abstract:According to risk multi-criteria group decision-making problems in which the criteria value of decision alternatives may be fuzzy numbers, a multi-criteria group decision-making approach based on the prospect theory is proposed. Firstly, the paper offers the group reference points by analyzing their variances, and the normalization methods of interval number and triangular number and trapezoidal number are analyzed. Then, the value function of the above fuzzy numbers can be calculated. The decision steps of integrating group information are presented. Finally, a numerical example illustrates the feasibility and effectiveness of the proposed method.