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P-集合及其测度空间 被引量：4

P-set and it′s measure space
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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。 The P-set is generalized from finite sets to an arbitrary set. The dynamic tr-algebra of P-set and P-measure space are proposed according to knowledge of measure theory based on the given measure space. The P-set based on the arbitrary ordinary sets is studied, which provides reliable theory support for information safety.
作者 赵占平 周厚勇 谢黎明
机构地区 黄淮学院数学系
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2011年第8期122-126,共5页 Journal of Shandong University(Natural Science)
基金 河南省基础与前沿技术研究计划项目(102300410151 102300410153)
关键词 普通集合 P-集合 测度 P-测度空间 ordinary set P-set measure P-measure space
分类号 O159 [理学—基础数学]
  • 相关文献

参考文献8

  • 1史开泉.P-集合[J].山东大学学报（理学版）,2008,43(11):77-84. 被引量：218
  • 2SHI Kaiquan. P-sets and its applications[ J]. An International Journal Advances in Systems Science and Applications, 2009, 9 (2) :209-219.
  • 3史开泉,张丽.内P-集合与数据外-恢复[J].山东大学学报（理学版）,2009,44(4):8-14. 被引量：110
  • 4汤积华,陈保会,史开泉.P-集合与(,F)-数据生成-辨识[J].山东大学学报（理学版）,2009,44(11):83-88. 被引量：83
  • 5史开泉.P-集合与它的应用特征[J].计算机科学,2010,37(8):1-8. 被引量：153
  • 6SHI Kaiquan, LI Xiuhong. Camouflaged information identification and its applications [ J ]. All International Journal Advances in Systems Science and Applications, 2010, 10(2) :208-216.
  • 7LIN Hongkang, LI Yuying. P-sets and its P-separatian theosems [ J]. An International Journal Advances in Systems Science and Applications, 2010,10 (2) : 245 -251.
  • 8ZHANG Li, CUI Yuquan. Outer P-sets and data internalrecovery [J]. An International Journal Advances in Systems Science and Applications, 2010, 10(2) :229-236.

二级参考文献41

  • 1SHI Kaiquan. S-rough sets and its applications in diagnosis-recognition for disease[J]. IEEE Proceedings of the First International Conference on Machine Learning and Cybernetics, 2002, 1 (1) : 50-54
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共引文献233

同被引文献92

  • 1何友,彭应宁,陆大.多传感器数据融合模型综述[J].清华大学学报（自然科学版）,1996,36(9):14-20. 被引量：85
  • 2SHI Kaiquan. P-sets and its applications[J]. Advances in Systems Science and Applications, 2009, 9(2): 209-219.
  • 3LIN Hongkang, LI Yuying. P-sets and its P-separatian theosems[J]. Advances in Systems Science and Applications, 2010, 10(2): 245-251.
  • 4ZHANG Li,CUI Yuquan.Outer P-sets and data internalrecovery[J1. Advances in Systems Science and Applications, 2010, 10(2): 229-236.
  • 5SHI Kaiquan.Function P- sets [J]. International Journal of Mathine Learing and Cybernetics, 2011, 2(4): 281-288.
  • 6FAN Chengxian,Lin Hongkang. P- set and the reasoning-identification of disaster information[J]. International of covergence Information Technology, 2012, 7(1): 337-345.
  • 7LIN Hongkang, FAN Chengxian.The dual form of P- reasoning and identification of unknown at-tribute[J]. International Journal of Digital Content Technology and Application, 2012, 6(1): 121-131.
  • 8茆诗松.高等数理统计[M].高等教育出版社,2004,8.
  • 9Shi Kai-quarL P-sets and its applications[J]. An International Journal Advances in Systems Science and Applications, 2009,9 (2) :209-219.
  • 10Shi Kai-quan. Function P-sets[J]. International Journal of Ma- chine Learning and Cybernetics, 2011,2 (4): 281-288.

引证文献4

二级引证文献101

山东大学学报（理学版）
2011年 第8期

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