非常态信息系统与逆P-增广矩阵关系

逆P-集合是一个具有动态特征的模型,逆P-增广矩阵是利用逆P-集合改进普通增广矩阵得到的新数学概念。为了讨论方便,定义普通矩阵A是系统的常态,内逆P-增广矩阵A^F与外逆P-增广矩阵A^F是系统的非常态,接着提出矩阵容度概念,给出容度度量与矩阵容度定理。基于上述概念,给出系统非常态与内逆P-增广矩阵关系定理,系统非常态与外逆P-增广矩阵关系定理,以及系统非常态的矩阵容度识别准则。最后给出应用与实验验证。

The relationship between abnormal information system and inverse P-augmented matrices

Inverse P-sets are models with dynamic characteristics, inverse P-augmented matrices are the new mathematical concepts obtained by using inverse P-sets to improve general augmented matrix. For convenience of discussion, the general augmented matrix A is defined as system's normal state, internal inverse P-augmented matrix A^F and outer inverse P-augmented matrix A^F are all defined as system's abnormal states, then the concept of matrix content, its measurement and its correlation theorems are proposed. Based on the above concepts, the relation theorem between system's abnormal state and internal inverse P-augmented matrix, the relation theorem between system's abnormal state and outer inverse P-augmented matrix, and the matrix content recognition criterion of system's abnormal state are given. Finally, an application and its experimental verification are shown.