This study presented an approach for selection, priority and budget assignment to industrial investment projects being based on group decision-making in multi-criteria decision making under uncertainty condition. In this approach, at first the indices and effective quality criteria on selection of industrial investment projects were identified via library studies and interview with the experts. Then by fuzzy analytic hierarchy process and the comments of experts group, the relative importance of these criteria to each other was determined. To evaluate the existing alternatives as the available industrial projects for investment, fuzzy linear assignment was applied and finally the proposed approach was used in a case study in the industry and mine bank of Kurdistan province.