Abstract: This paper discusses the priority method of incomplete complementary judgment matrix. Based on the concept of multiplicative consistent incomplete complementary judgment matrix, it proposes two nonlinear programming models for obtaining priority of incomplete complementary judgment matrix, which contain weighted vector least deviation method and weighted vector least-square method, and these methods develop the theory and methodology of priority of incomplete complementary judgment matrix. Illustrative numerical example is given to verify the developed models.

Key words: incomplete complementary judgment matrix, multiplicative consistency, priority, nonlinear programming model

摘要： 研究了残缺互补判断矩阵的排序方法。在积型一致性残缺互补判断矩阵概念的基础上，提出了残缺互补判断矩阵排序的两种非线性规划模型方法：权重向量最小偏差法和权重向量最小平方法，为解决残缺互补判断矩阵排序提供了新的途径。通过算例说明了两种方法的可行性。

关键词: 残缺互补判断矩阵, 积型一致性, 排序, 非线性规划模型