基于加细覆盖的广义粗糙集研究

广东工业大学学报 ›› 2006, Vol. 23 ›› Issue (4): 93-97.

基于加细覆盖的广义粗糙集研究

广东工业大学计算机学院；佛山科技学院广东广州510090；广东佛山528000；

出版日期:2006-11-10 发布日期:2006-11-10
基金资助:
国家自然科学基金(60474072);广东省自然科学基金(04009465)资助项目

Research on Generalized Rough Sets Based on Fine Covering

(1.Faculty of Computer,Guangdong University of Techology,Guangzhou 510090,China;2.Department of Automation,Foshan University,Foshan 528000,China)

Online:2006-11-10 Published:2006-11-10

摘要/Abstract

摘要： 覆盖广义粗集是Paw lak粗集理论的一种重要扩展.本文从拓扑学的角度,利用邻域系重新定义了广义粗集近似集的概念,并分析了这些近似集概念之间的差异;证明了在加细覆盖条件下,上、下近似集运算存在一些特别性质;给出了加细覆盖下近似集运算的公理化构造条件。

关键词: 广义粗集；最小元；加细覆盖；

Abstract: Covering generalized rough sets is an important development to the Pawlak rough sets theory.In this paper,from the topological view,some concepts of generalized rough sets are defined again by the use of adjacent cluster.Their different characteristics are also analysed.Some special properties of upper and low approximation operations based on the fine covering are studied.The method of approximation operations of the fine covering is presened.

Key words: generalized rough set； minimum element； fine covering；

邱卫根；罗中良； . 基于加细覆盖的广义粗糙集研究[J]. 广东工业大学学报, 2006, 23(4): 93-97.

QIU Wei-gen~1,LUO Zhong-liang~2. Research on Generalized Rough Sets Based on Fine Covering[J]. Journal of Guangdong University of Technology, 2006, 23(4): 93-97.

参考文献

[1] Zakowsk iW.Approxim ations in the Space(U.II). DemonstratioM athem atica . 1983

[2] Pawlak Z.Rough Sets,Theoretical Aspects of Reasoning about Data. . 1991

[3] Pomykala J A.Approxim ation Operations in Approxim ation Space. Bu lletion of the Polish Academy of Sc ience . 1987

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