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J4 ›› 2011, Vol. 46 ›› Issue (8): 122-126.

• SEWM 2011 会议 • 上一篇    

P-集合及其测度空间

赵占平,周厚勇,谢黎明   

  1. 黄淮学院数学系, 河南  驻马店 463000
  • 收稿日期:2010-07-19 出版日期:2011-08-20 发布日期:2011-09-08
  • 作者简介:赵占平(1965- ),男,教授,博士,研究方向为应用数理统计. Email:zhaozhanping@tom.com
  • 基金资助:

    河南省基础与前沿技术研究计划项目(102300410151;102300410153)

P-set and it′s measure space

ZHAO Zhan-ping, ZHOU Hou-yong, XIE Li-ming   

  1. Department of Mathematics, Huanghuai University,  Zhumadian 463000,  Henan, China
  • Received:2010-07-19 Online:2011-08-20 Published:2011-09-08

摘要:

将P-集合的概念从有限集合推广到任意集合,在给定测度空间的基础上依据测度论的有关知识给出了P-集合的动态σ-代数,提出了具有动态特征的P-测度空间。在任意普通集合的基础上研究P-集合,为P-集合在信息安全中的应用提供了可靠的理论保证。

关键词: 普通集合;P-集合;测度;P-测度空间

Abstract:

The P-set is generalized from finite sets to arbitrary set. The dynamic σ-algebra of P-set and P-measure space are proposed according to the knowledge about measure theory based on the given measure space. The P-set based on the arbitrary ordinary sets is studied,which is provided reliable theory support for the information safety.

Key words:  ordinary set; P-set; measure; P-measure space

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