中文摘要：

根据模糊互补判断矩阵的加型一致性和积型一致性反映的相对优势度思想给出区间互补判断矩阵拟加型一致性、拟积型一致性的概念,并利用可能度的互补性将拟加型一致性和拟积型一致性统一为拟一致性.分两种情况讨论了区间互补判断矩阵的权重问题.首先针对拟一致性区间互补判断矩阵,运用可能度法求得区间型权重之间比较的模糊互补判断矩阵,并利用中转法得到精确数型的排序向量.然后针对一般的区间互补判断矩阵,根据区间互补判断矩阵与其区间数型权重在可能度方面的偏差关系,建立偏差模型以求得区间数型权重,用可能度法求得权重之间比较的模糊互补判断矩阵,并利用中转法得到精确数型的排序向量,并指出前者的求解过程实际上是后者的一个特例.给出了区间互补判断矩阵具有拟一致性的充要条件.最后通过实例验证了决策方法的有效性和实用性.

英文摘要：

Based on the idea of the relative superiority degree found in the additive consistency and the multiplicative consistency of fuzzy complementary judgment matrix （FCJM）, the quasi-additive consistency and the quasi-multiplicative consistency of interval complementary judgment matrix （ICJM） were given. And they were merged into the quasi-consistency of ICJM by the complementary property of possibility degree. The problem of how to determine ICJM weights was analyzed under two conditions. In the condition of the IRJM with quasi-consistency, by the method of possibility degree an FCJM was derived from the comparison among its interval weights, and its precise value ranking vector was also achieved using the middle translation method. Then, under the condition of general ICJM, its interval weights were obtained by a deviation model which is established by the deviation between ICJM and its interval weights in the respect of possibility degree. And an FCJM was derived from the comparison among its interval weights, and its precise value ranking vector was also achieved using the middle translation method. And it was pointed out that the solution process of the former condition is in fact the specific one of the latter condition. A necessary and sufficient condition of the quasi-consistency of ICJM was achieved. Finally, the validity and the practicability of the proposed method were illustrated with an example.