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J4 ›› 2012, Vol. 47 ›› Issue (1): 98-103.

• 数学 • 上一篇    下一篇

逆P-集合

史开泉   

  1. 山东大学数学学院, 山东 济南 250100
  • 收稿日期:2011-10-31 出版日期:2012-01-20 发布日期:2012-06-29
  • 作者简介:史开泉(1945- ) , 男, 教授, 博士生导师, 研究方向为系统理论与应用. Email: shikq@sdu.edu.cn
  • 基金资助:

    福建省自然科学基金资助项目(2011J0135);河南省基础与前沿技术研究资助项目(112300410056)

Inverse P-sets

SHI Kai-quan   

  1. School of Mathematics, Shandong University, Jinan  250100, Shandong, China
  • Received:2011-10-31 Online:2012-01-20 Published:2012-06-29

摘要:

利用P-集合(Packet sets),提出逆P-集合(Inverse packet sets),给出逆P-集合的结构;逆P-集合记作P-1-集合。P-1-集合是P-集合的对偶形式。P-1-集合是由内P-1-集合F(Internal inverse packet set F)与外P-1-集合(Outer inverse packet set  )构成的集合对;或者(F,)是P-1-集合;P-1-集合具有动态特征。给出P-1-集合的分离定理与P-1-集合的动态等价类特性,给出P-1-集合在动态信息系统中的应用。

关键词: 逆P-集合;分离定理;动态等价类特征;信息发现

Abstract:

 Using P-sets(packet sets), inverse P-sets(inverse packet sets) and its structure are presented, which is briefly expressed as P-1-sets. P-1-sets is the dual form of P-sets. P-1-sets is a set pair composed of internal inverse P-set F and outer inverse P-set , or  (F,)  is P-1-sets, and P-1-sets has the dynamic characteristic. The separation theorem and dynamic equivalence class characteristic of P-1-sets and the application of P-1-sets are given in the dynamic information system.

Key words: inverse P-sets; separation theorem; dynamic equivalence class characteristic; information discovery

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