Abstract: The calculation problem of incomplete element about incomplete interval number complementary judgement matrix is researched. The concepts of random incomplete complementary judgement matrix is defined. Under the satisfactory consistence, the incomplete element is gained by the optimizing model. Based on these, the new priority method of the decision making is proposed by Q cluster analysis and grey correlation relative degree. A practical example is provided to illustrate the developed approach and to verify its effectiveness.

Key words: incomplete interval number complementary judgement matrix, the degree of consistence, Q cluster analysis, grey correlation relative degree

摘要： 研究了残缺区间数互补判断矩阵的残缺元计算和排序方法问题。通过引入随机残缺互补判断矩阵的概念，定义了残缺区间数互补判断矩阵的一致性指标，并且在满意一致性下利用构建的最优化模型，计算出残缺区间数的具体数值，在基础上结合Q型聚类和灰色关联度给出了残缺区间数互补判断矩阵的排序新方法。通过算例验证了该方法的可行性和有效性。

关键词: 残缺区间数互补判断矩阵, 一致性指标, Q型聚类, 灰色关联度