Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (17): 55-56.DOI: 10.3778/j.issn.1002-8331.2009.17.017

• 研究、探讨 • Previous Articles     Next Articles

Rough set algebra and BR0 algebra

ZHANG Qiu-xia,WU Hong-bo   

  1. College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:2008-04-09 Revised:2008-07-21 Online:2009-06-11 Published:2009-06-11
  • Contact: ZHANG Qiu-xia

粗糙集代数与BR0代数

张秋霞,吴洪博   

  1. 陕西师范大学 数学与信息科学学院,西安 710062
  • 通讯作者: 张秋霞

Abstract: The relation between rough set algebra and BR0 algebra is studied,and the method of constructing BR0 algebra from rough set algebra is presented.Based on the atoms and congruence relations of approximation algebra,it is proved that rough set algebra becomes BR0 algebra if proper implication and complement operators are selected.

Key words: logical algebras, BR0-algebras, rough set, rough set algebra

摘要: 讨论粗糙集代数与BR0代数的关系,以及由粗糙集代数构造BR0代数的方法。借助近似代数的原子及同余关系,证明了在适当选取蕴涵算子及余运算之后,粗糙集代数就成为BR0代数。

关键词: 逻辑代数, BR0代数, 粗糙集, 粗糙集代数