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覆盖广义粗糙集理论中的LF拓扑方法 被引量：9

LF-topological methods on the theory of covering generalized rough sets
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摘要 从LF拓扑学的角度来探讨覆盖广义粗糙集理论,在LF拓扑空间中定义了相对内部和相对闭包,并讨论了它们的基本性质.这些性质不仅对粗糙集理论,而且对于LF拓扑学本身也有重要意义. The theory of covering generalized rough sets was studied with L-fuzzy topology. The relative interior and closure operators were defined in L-fuzzy topological space and their basic properties were discussed. These results can be considered as the fundamental theory of rough sets and L-fuzzy topology.
作者 孙守斌 孟广武
机构地区 聊城大学数学科学学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2008年第1期95-97,102,共4页 Journal of Shandong University(Natural Science)
基金 山东省自然科学基金资助项目(Y2003A01)
关键词 L-fuzzy拓扑学 粗糙集 覆盖广义粗糙集 L-fuzzy topology rough set covering generalized rough set
分类号 O159 [理学—基础数学]
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共引文献78

同被引文献38

  • 1陈钉均,杨涛,杨刚.覆盖粗糙近似算子[J].内江师范学院学报,2008,23(12):29-30. 被引量：1
  • 2周军,张庆灵,陈文实.覆盖粗糙集的一般化[J].东北大学学报（自然科学版）,2004,25(10):954-956. 被引量：5
  • 3李进金.由子基生成的内部算子和闭包算子[J].数学进展,2006,35(4):476-484. 被引量：28
  • 4徐伟华,张文修.覆盖广义粗糙集的模糊性[J].模糊系统与数学,2006,20(6):115-121. 被引量：19
  • 5Bonikowski Z,Bryniarski E,Wybraniec U. Extensions and intentions in the rough set theory[J]. Information Science, 1998,107:149-167.
  • 6Pomykala J A. Approximation operations in approximation space[J]. Bulletion of the Polish Academy of Science,1987,35(9-10):653-662.
  • 7Zakowski W. Approximation in the space[J]. Demonstration Mathematics, 1983,16 : 761-769.
  • 8Su Shh and Xu Zhj. The Connectedness Relative to a Subbase for the L-Fuzzy Topology[C]//The 3rd International Conference on Fuzzy Information and Engineering, 2009(2): 446-448.
  • 9Su Shh. The Connectedness Relative to a Sub-base in the L-Fuzzy Topological Space[C]//the 6th International Conference on Fuzzy Systems and Knowledge Discovery, 2009(6): 679-686.
  • 10Su Shuhua, Xu Zhijun. The eonnectedness relative to a subbase for the L-Fuzzy topology [C] ///The 3rd International Conferenee on Fuzzy Information and Engineering, Berlin: Springer-Verlag, 2009: 446-448.

引证文献9

山东大学学报（理学版）
2008年 第1期

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