计算机科学 ›› 2011, Vol. 38 ›› Issue (10): 220-222.

• 人工智能 • 上一篇    下一篇

可变粒度粗糙集

张明,唐振民,徐维艳,杨习贝   

  1. (南京理工大学计算机科学与技术学院 南京210094);(江苏科技大学计算机科学与工程学院 镇江212003);(江苏科技大学数理学院 镇江212003)
  • 出版日期:2018-11-16 发布日期:2018-11-16

Variable Granulation Rough Set

ZHANG Ming,TANG Zhen-min,XU Wei-yan,YANG Xi-bei   

  • Online:2018-11-16 Published:2018-11-16

摘要: 分析乐观多粒度粗糙集和悲观多粒度粗糙集的不足之后,提出一种可变粒度粗糙集模型,定义了可变粒度粗 糙集的下、上近似集,研究了可变粒度粗糙集与这两种多粒度粗糙集的性质,证明了可变粒度粗糙集是多粒度粗糙集 的泛化,最后给出几种可变粒度粗糙集的度量因子,研究了变粒度粗糙集与多粒度粗糙集度量之间的关系。

关键词: 可变粒度粗糙集,多粒度粗糙集,度量

Abstract: By analyzing the weakness of optimistic Muitl-granulation rough set and pessimistic Muitl-granulation rough set, the Variable granulation rough set was proposed, the lower and the upper approximation were defined. Further- more, the properties of these three kinds of rough sets were discussed, and that the Variable granulation Rough Set is the generalization of Muitl-granulation rough set was proved. At last, some measures of those rough sets were defined, the relation of their measures was discussed.

Key words: Variable granulation rough set, Muitl-granulation rough set, Measure

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