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覆盖S-粗集模型的性质 被引量:7

On the Properties of Covering S-rough Sets Model
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摘要 讨论基于覆盖理论的S-粗集模型的性质,给出了S-粗集生成的拓扑结构,证明了覆盖S-粗集模型与自反、传递关系下的S-粗集模型是等价的。 This paper is devoted to the study of the covering S-rough set model. The topological structure of the corresponding S-rough sets is established and the equivalence between covering S-rough set model and reflexive, transitive relation based generalized S-rough set model is proved. Also, the axiomatic description of covering S-rough set model is given.
出处 《模糊系统与数学》 CSCD 北大核心 2007年第6期148-151,共4页 Fuzzy Systems and Mathematics
基金 河南省教育厅自然科学基础研究项目(200510483002) 商丘师范学院重点学科基金资助项目
关键词 S-粗集 覆盖 近似算子 覆盖S-粗集 S-rough Set Cover Approximation Operator Covering S-rough Set
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参考文献5

  • 1Pawlak Z. Rough sets[J]. International Journal of Computer and Information Science,1982., 11:341-356.
  • 2Pawlak Z. Rough sets: theoretical aspects of reasoning about data [M]. Boston : Kluwer Academic Publishers, 1991.
  • 3史开泉,崔玉泉.S-粗集和它的一般结构[J].山东大学学报(理学版),2002,37(6):471-474. 被引量:174
  • 4Shi K Q,Cheng T C. One direction S-rough sets[J]. International Journal of Fuzzy Mathematics,2005,2,319 -334.
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二级参考文献5

  • 1Pawlak Z. Rough sets[J]. International Journal of Computer and Information Science, 1982,11:341-356.
  • 2Pawlak Z. Rough sets: Theoretical Aspects of Reasoning about Data[M]. Kluwer Academic Boston:Publishers,1991.
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  • 5Zdzis?aw Pawlak. Rough sets[J] 1982,International Journal of Computer & Information Sciences(5):341~356

共引文献187

同被引文献27

  • 1徐忠印,廖家奇.基于覆盖的模糊粗糙集模型[J].模糊系统与数学,2006,20(3):141-144. 被引量:20
  • 2魏莱,苗夺谦,徐菲菲,夏富春.基于覆盖的粗糙模糊集模型研究[J].计算机研究与发展,2006,43(10):1719-1723. 被引量:30
  • 3孙士保,刘瑞新,秦克云.变精度粗糙模糊集模型研究[J].计算机工程与应用,2007,43(23):15-17. 被引量:7
  • 4Pawlak Z Rough sets[J].International Journal of Computer and Information Science,1982,11:341-356.
  • 5Pawlak Z Rough sets:Theoretical aspects of reasoning about Data[M].Boston:Kluwer Academic Publishers,1991.
  • 6Ziarko W.Variable precision rough sets model[J].Joumal of Computer System Science,1993,46(1):39-59.
  • 7刘清.Rough 集及Rough推理[M].北京:科学出版社,2001.
  • 8王命延 聂斌等.基于排斥Rough 集从临床数据中提取诊断规则.计算机科学,2008,35(8):52-55.
  • 9Pawlak Z.Rough sets[J].International Journal of Computer and Information Science, 1982,11:341-356.
  • 10Shi K Q, Cheng T C.One direction S-rough sets[J].International Journal of Fuzzy Mathematics,2005(2) : 319-334.

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