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P-集合 被引量:218

P-sets
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摘要 利用普通集合,提出包集合(简称P-集合),P-集合是由内P-集合X-F与外P-集合XF共同构成。并给出P-集合的结构和P-集合与普通集合的关系,P-集合具有动态特性。在静态-动态意义下,普通集合是P-集合的特例,P-集合是普通集合的一般形式,然后提出P-集合的内P-分解定理与外P-分解定理,利用P-集合,给出集成知识与它的结构,最后给出P-集合在动态知识发现中的应用。 By using Cantor's sets, Packet sets were presented and called P-sets in brief. P-sets are composed of interior P-sets X^F and outer P-sets X^F . The structure of P-sets and the relation between P-sets and Cantor' s sets were given. P-sets have dynamic characteristics. Under a static-dynamic environment, Cantor's sets are the special case of P-sets, while P-sets were the general case of Cantor' s sets; and the interior P-decomposition theorem and outer P-decomposition theorem of P-sets were proposed. By using P-sets, integration knowledge, the structure of integration knowledge, and the applications of P-sets in dynamic knowledge discovery were given.
作者 史开泉
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2008年第11期77-84,共8页 Journal of Shandong University(Natural Science)
基金 山东省自然科学基金资助项目(Y2007H02) 海南省自然科学基金资助项目(807054)
关键词 普通集合 P-集合 集成知识 知识过滤 应用 Cantor's sets P-sets integration knowledge knowledge filter applications
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参考文献10

  • 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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  • 5史开泉,姚炳学.函数S-粗集与规律辨识[J].中国科学(E辑),2008,38(4):553-564. 被引量:101
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  • 7史开泉,赵建立.函数S-粗集与隐藏规律安全-认证[J].中国科学(E辑),2008,38(8):1234-1243. 被引量:65
  • 8SHI KaiQuan1,2 & ZHAO JianLi3 1 School of Mathematics and Computer Sciences, Longyan University, Longyan 364000, China,2 School of Mathematics and System Sciences, Shandong University, Jinan 250100, China,3 School of Mathematics Science, Liaocheng University, Liaocheng 252059, China.Function S-rough sets and security-authentication of hiding law[J].Science in China(Series F),2008,51(7):924-935. 被引量:69
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