P-集合与双P-数据恢复-辨识

利用P-集合（packet sets），介绍内P-数据、外P-数据、 双P-数据概念；双P-数据由内P-数据与外P-数据共同构成；分析双P-数据动态特性。利用这些概念，描述双P-数据依赖与双P-数据依赖的同心圆定理，提出双P-数据恢复-辨识定理与双P-数据恢复-辨识准则，并给出应用。双P-数据恢复-辨识是信息系统中的一个新的研究领域，P-集合是这个研究领域中的一个新工具。

P-sets and the recovery-identifiction of double P-data

Based on the P-sets (packet sets), the concepts such as internal P-data, outer P-data and double P-data are proposed; double P-data are composed of internal P-data and outer P-data together; the dynamic characteristics of double P-data are given. By using these concepts, the double P-data dependency and its concentric circle theorem are given. The double P-data recovery-identification theorem and criterion as well as their  applications are presented. The double P-data recovery-identification is a new research domain in information systems, and P-sets are a new tool in this domain.