计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (27): 62-65.

• 学术探讨 • 上一篇    下一篇

序信息系统的知识粗糙熵与粗集粗糙熵

张晓燕1,徐伟华2   

  1. 1.广东海洋大学 理学院 数学与信息科学系,广东 湛江 524088
    2.西安交通大学 理学院 信息与系统科学研究所,西安 710049
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-09-21 发布日期:2007-09-21
  • 通讯作者: 张晓燕

Entropy of knowledge and rough set in ordered information systems

ZHANG Xiao-yan1,XU Wei-hua2   

  1. 1.Department of Mathematics and Information Sciences,Guangdong Ocean University,Zhanjiang,Guangdong 524088,China
    2.Institute of Information and System Sciences,Xi’an Jiaotong University,Xi’an 710049,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-09-21 Published:2007-09-21
  • Contact: ZHANG Xiao-yan

摘要: 在序信息系统中引入了知识粗糙熵和粗集粗糙熵的概念,得到了它们的有关性质,并证明了二者都随着知识确定程度的增强而单调下降的结论,从而给出了序信息系统的信息解释。进一步通过讨论它们之间的联系说明了粗集的粗糙熵可以更精确地度量粗集地粗糙程度。这些结论为序信息系统的知识发现奠定了一定的理论基础。

关键词: 粗糙集, 序信息系统, 知识粗糙熵, 粗糙度

Abstract: In this paper,we address uncertainty measures of roughness of knowledge and rough sets by introducing rough entropy in ordered information systems.We prove that the rough entropy of knowledge and rough set decreases monotonously as the granularity of information becomes finer,and obtain some conclusions,which is every helpful in future research works of ordered information systems.

Key words: rough set, ordered information systems, knowledge rough entropy, rough degree