Covering fuzzy S-rough sets model

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (5): 27-28.

• 研究、探讨 • Previous Articles Next Articles

Covering fuzzy S-rough sets model

LIU Junlan¹，YAO Bingxue¹，TIAN Shenxin²

1.School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China
2.Gaotang First Experiment Primary School，Liaocheng，Shandong 252800，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-02-11 Published:2011-02-11

覆盖模糊S-粗集模型

刘俊兰¹，姚炳学¹，田申新²

1.聊城大学数学科学学院，山东聊城 252059
2.高唐县第一实验小学，山东聊城 252800

Abstract

Abstract: This paper is devoted to the study of the covering fuzzy S-rough sets model.The maximal description of x of covering one direction singular rough sets is given based on the minimal description of x.The upper and lower approximation operations are defined with their basic properties being discussed.It is proved that the set of all lower approximations of fuzzy sets constitutes a fuzzy topology.The upper and lower approximations of fuzzy one direction singular rough sets are respectively equal after covering is reducted.

Key words: covering, approximation operation, covering fuzzy S-rough sets

摘要： 建立了基于覆盖理论的模糊S-粗糙集模型，并讨论其性质。在覆盖单向S-粗集x的最小描述的基础上，给出了x的最大描述的定义。给出了覆盖模糊S-粗集上、下近似算子定义，讨论了算子的基本性质，证明了覆盖S-粗糙集模型下所有模糊集的下近似构成一个模糊拓扑，并得到模糊单向S-粗集X相对于覆盖单向S-粗集和覆盖约简单向S-粗集的上下近似分别相等。

关键词: 覆盖, 近似算子, 覆盖模糊S-粗集

LIU Junlan¹，YAO Bingxue¹，TIAN Shenxin². Covering fuzzy S-rough sets model[J]. Computer Engineering and Applications, 2011, 47(5): 27-28.

刘俊兰¹，姚炳学¹，田申新². 覆盖模糊S-粗集模型[J]. 计算机工程与应用, 2011, 47(5): 27-28.

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Covering fuzzy S-rough sets model

覆盖模糊S-粗集模型

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