中文摘要：

利用逆P-集合的动态特征,改进普通增广矩阵概念,提出内逆P-增广矩阵,外逆P-增广矩阵与逆P-增广矩阵,给出它们的结构、生成与关系。利用基数余-亏与逆P-增广矩阵交叉,提出基数余值与内逆P-增广矩阵关系定理,基数亏值与外逆P-增广矩阵关系定理,以及基数余-亏值与逆P-增广矩阵关系定理,最后给出这些理论结果的应用。

英文摘要：

By using the dynamic characteristics of inverse P-sets and improving ordinary augmented matrix,internal inverse P-augmented matrix,outer inverse P-augmented matrix and inverse P-augmented matrix are put forward; their structures,generations and relations are given. By crossing the surplus-deficiency of cardinal number with inverse P-augmented matrix,the relationship theorem between surplus value of cardinal number and internal inverse P-augmented matrix,the relationship theorem between deficient value of cardinal number and outer inverse P-augmented matrix,and the relationship theorem between surplus-deficient value of cardinal number and inverse P-augmented matrix are proposed.Finally,an application of these results above is shown.