Abstract:For the hybrid multi-attribute decision making problems with completely unknown attribute weights, a decision-making method based on the prospect theory and the evidential reasoning was proposed. The decisionmaking information of three kinds of hybrid attributes including precision numbers, interval numbers and linguistic variables was unified by intuitionistic fuzzy numbers and transformed according to the prospect theory. An attribute reliability evaluation method based on intuitionistic fuzzy entropy and similarity was proposed. And the attribute weights were determined by combining the importance of attribute. The evidential reasoning algorithm was used to assemble the attribute information to obtain the comprehensive prospect values of alternatives, and then the alternatives can be sorted. The results of numerical example analysis show that the proposed method has a strong discriminating ability and can effectively reduce the uncertainty of decisionmaking results. The proposed method has good applicability to hybrid multi-attribute decision making problems.