Based on comparison possibility degree of Distributed Preference Relation (DPR) considering four pairwise relations of alternatives including superiority, inferiority, indifference and uncertainty, a multi-attribute decision making method with unknown attribute weights was proposed. Firstly, DPRs were transformed to score intervals by using grade scores. Based on the score intervals, the comparison possibility degree of DPR with consideration of uniform distribution was constructed. Secondly, the relationship between comparison possibility degree and the difference range of values of the proposed possibility degree and the possibility degree without considering probability distribution were theoretically analyzed and proven. At last, by using the proposed possibility degree, a multiple attribute decision making process considering unknown attribute weights was generated. Meanwhile, a high recognizable decision solution was created. The proposed method was applied to evaluate the strategic emerging industries of Wuhu, which verified the applicability and validity of the method.