计算机科学与探索 ›› 2014, Vol. 8 ›› Issue (5): 601-607.DOI: 10.3778/j.issn.1673-9418.1307021

• 人工智能与模式识别 • 上一篇    下一篇

多覆盖近似空间中的粗糙集模型

王丽娟1,2+,杨习贝1,2,吴  陈1   

  1. 1. 江苏科技大学 计算机科学与工程学院,江苏 镇江 212003
    2. 南京理工大学 计算机科学与技术学院,南京 210094
  • 出版日期:2014-05-01 发布日期:2014-05-05

Rough Set Model in Multi-Covering Approximation Space

WANG Lijuan1,2+, YANG Xibei1,2, WU Chen1   

  1. 1. School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, 212003, China
    2. School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
  • Online:2014-05-01 Published:2014-05-05

摘要:

在多覆盖近似空间中研究多覆盖粗糙集模型的构造方法,根据两种不同策略,提出了多种乐观多覆盖粗糙集模型和悲观多覆盖粗糙集模型。分别从乐观多覆盖粗糙集模型间的关系、悲观多覆盖粗糙集模型间的关系、乐观多覆盖粗糙集模型和悲观多覆盖粗糙集模型间的关系这3个方面,对多覆盖粗糙集模型间的关系进行了深入研究,得到了各模型多覆盖近似集间的包含关系或等价关系。该研究为直接处理多覆盖近似空间提供了理论模型。

关键词: 多覆盖近似空间, 多粒度, 粗糙集模型

Abstract:

In the multi-covering approximation space, this paper presents a variety of optimistic multi-covering models and pessimistic multi-covering rough set models on two different strategies. After studying the relationships between multi-covering rough set models, the inclusion relations or equivalence relations are obtained. The research work is carried out from three aspects, which are the relationships among the optimistic multi-covering rough set models, the relationships among the pessimistic multi-covering rough set models, and the relationships among the optimistic and pessimistic multi-covering rough set models. It can provide a theoretical model to deal directly with the multi-covering approximate space.

Key words: multi-covering approximation space, multi-granulation, rough set model