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覆盖广义粗糙集的一般化方法
  • 期刊名称:山东大学学报(哲学社会科学版)
  • 时间:2012
  • 页码:84-86-
  • 分类:TP18[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构:[1]漳州师范学院数学与信息科学系,福建漳州363000
  • 相关基金:基金项目: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)
  • 相关项目:基本拓扑方法及其在广义度量空间和覆盖粗糙集理论中的应用
中文摘要:

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。

英文摘要:

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 simplify- ing 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 em- ployed to show that the covering rough set not only be transformed into the classical one but can also improve the ap- proximation accuracy of the target concept.

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