基于比较可能度的多属性决策方法

Multi-attribute decision making method based on comparison possibility degree

围绕多等级上同时考虑优于、劣于、无差异和不确定等四种成对方案间关系的不同分布式偏好关系(DPR),提出一种基于其比较可能度的属性权重未知的多属性决策方法。首先,利用各等级的得分值将分布式偏好关系转为得分值区间,并基于得分值区间构造服从均匀分布的分布式偏好关系比较可能度;其次,通过理论分析证明其与未考虑分布的比较可能度间的大小关系及其取值差异范围;最后运用提出的比较可能度形成属性权重未知的多属性决策流程,产生高辨识度的决策解。将提出的方法运用于求解芜湖市战略性新兴产业的评估问题,验证了方法的正确性和有效性。

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.