满意一致性判断矩阵的启发式生成法

文中首先指出了判断矩阵的一致性问题是层次分析法(AHP)理论研究的焦点和实际应用的难点。提出了逻辑关系强度的概念并定义了逻辑关系强度传递关系。然后作者证明了根据初始判断矩阵可直接生成两个具有规范一致性的矩阵的定理, 以此为基础, 从应用的角度给出判断矩阵的满意一致性准则及满意一致性判断矩阵的启发式生成法, 最后, 以施工导流设计中的影响因素相对重要性分析为实例作为本文的结束。

A Heuristic approach for Judgement Matrix with Saticfying Consistency

It is pointed out that the consistency of judgement matrix is the study focus on theory and the difficulty on practice in AHP The concept concerning strength of logical relationship is then put forward and the transmision relationshi of strength of logical relationship is defined.and the authors prove a theorem that two matrixes with consistency can be directly yielede through the initial judge-ment matrix given by decision-maker.Based on the above,it is presented from the view of practice a satisfying consistency criteria of judgement matrix and a heuristic approach to yield a judgement matrix with satisfying consistency.Finally, an illustrative example about the analysis of the factors in the design of construction diversion is discussed.