Abstract: Packet set is a set pair, which is composed of internal and outer packet sets, i.e., [(XF，XF)] is a packet set. Introducing dynamic characteristics into a finite general set [X], packet set is a new concept and new model, and it has dynamic characteristic. Using the concepts of packet set, this paper gives the concept of [F]-data, and proposes [F]-data-selecting criterion and [F]-data-selecting theorem. By using these results, applications of [F]-data-selecting are presented. P-sets is a new mathematic model in the research of data system.

Key words: packet sets, [F]-data, data-selecting, data circle theorem, data-selecting theorem

摘要： P-集合是由内P-集合[XF]与外P-集合[XF]构成的集合对，或者[(XF，XF)]是P-集合。P-集合具有动态特性。P-集合是把动态特性引入到普通有限集合[X]中，得到的一个新的数学概念与数学模型。利用P-集合，给出[F]-数据，[F]-数据选择准则，[F]-数据选择定理，并利用这些理论结果，给出[F]-数据选择的应用。P-集合是研究数据系统的一个新的数学模型。

关键词: P-集合, [F]-数据, 数据选择, 数据圆定理, 数据选择定理