X_P-信息与它的特征

The X_P-information and Its Characteristics

利用P-集合,提出了XP-信息的概念,给出了XP-信息的几何特征及其范围;同时给出了XP-信息特征定理,XP-信息与基信息、内P-信息、外P-信息关系定理及相应属性特征定理,也给出了XP-信息的度量定理、最小与最大度量XP-信息定理、XP-信息链定理、系统状态判定定理;最后给出XP-信息的应用实例.

By using the P-sets, the concept of the X^-information is proposed, and the geometrical characteristics of Xp-information and its scope are given. At the same time, the characteristic theorem of Xp-information, the rela- tion theorem of the Xp-information and base information, internal and outer p-information, and the corresponding attribute theorems are investigated. In addition, the measure theorem, the minimum and maximum metric, the chain theorem, and theorem of system state of Xp-information are also proposed. Finally, application example is shown.