Abstract: With respect to the multi-attribute group decision-making problem in which the attribute weights are linguistic variable and assessment information is incomplete interval linguistic information, a revised fuzzy interval evidential reasoning method was proposed. Firstly, the incomplete information was represented by random variables, and decision matrixes given by experts were combined into a credibility matrix according to the importance degrees of the experts. Then, the distributed assessment values of the alternatives were calculated by using the revised fuzzy interval evidential reasoning method. Further, fuzzy assessment values of all the alternatives were calculated to determine the alternative ranking result. Finally, a numerical example was given to illustrate the effectiveness of the proposed method.