J4 ›› 2012, Vol. 47 ›› Issue (1): 83-86.
• 控制科学 • 上一篇 下一篇
林国平,李进金,陈锦坤
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基金资助:
国家自然科学基金资助项目(10971186, 11061004);福建省自然科学基金资助项目(2010J01018);福建省教育厅A类科技项目(JA11171)
LIN Guo-ping, LI Jin-jin, CHEN Jin-kun
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摘要:
在覆盖粗糙集理论中,将其模型与经典粗糙集统一是一个非常重要的问题。在覆盖近似空间中通过定义论域上的基于覆盖的等价关系,将覆盖广义粗糙集转化为经典粗糙集,由此将经典粗糙集理论的应用范围拓展到基于覆盖的背景中。分析表明,该方法比已有的基于等域关系转化覆盖广义粗糙集为经典粗糙集更直观且易于理解。最后举例说明了该一般化方法还可以提高目标概念的近似精度。
关键词: 覆盖广义粗糙集;上近似;下近似;等价关系;覆盖信息系统
Abstract:
It is a very important issue that one unites the covering generalized rough set and the classical rough set in the theory of covering generalized rough set. The covering rough set can thus be transformed into the classical one, which can extend their applications to the context of covering information systems. Several significant properties for simplifying the research of covering rough sets are obtained. The analysis shows that the proposed method is much easier and more intuitive to understand than the existing method based on an equal domain relation. In addition, an example is employed to show that the covering rough set not only be transformed into the classical one but can also improve the approximation accuracy of the target concept.
Key words: covering generalized rough sets; upper approximation; lower approximation; equivalence relation; covering information system
林国平,李进金,陈锦坤. 覆盖广义粗糙集的一般化方法[J]. J4, 2012, 47(1): 83-86.
LIN Guo-ping, LI Jin-jin, CHEN Jin-kun. Generalization for covering generalized rough sets[J]. J4, 2012, 47(1): 83-86.
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