Generation and Recovery of Compressed Data and Redundant Data

Abstract

P-sets are a set pair which are composed of internal P-sets $X^{\bar{F}}$ and outer P-sets $X^{\bar{F}}$. P-sets have dynamic characteristics. By using internal P-sets and deleted sets, the concepts of $\bar{F}$-compressed data and $\bar{F}$-redundant data are proposed. A data pair which is ($(x)^{\bar{F}},(x)^-$) for data processing is proposed. Using it, some theorems are given such as the separation theorem, the generation theorems, recovery theorems about $\bar{F}$-compressed data and $\bar{F}$-redundant data. The measures about $\bar{F}$-compressed degree, $\bar{F}$-redundant degree and $\bar{F}$-recovery degree are given. Finally, the application is provided about the system of typhoon pre-warning and search- rescue.