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应用科学学报 ›› 2004, Vol. 22 ›› Issue (4): 503-508.

• 论文 • 上一篇    下一篇

粗糙集的两种新型算子及其Boolean代数性质

张化光, 梁洪力   

  1. 东北大学信息科学与工程学院 辽宁沈阳 110004
  • 收稿日期:2003-09-14 修回日期:2003-12-15 出版日期:2004-12-31 发布日期:2004-12-31
  • 作者简介:张化光(1959-),男,吉林省吉林人,教授,博导.
  • 基金资助:
    国家自然科学基金(60274017;60325311);国家教育部博士点基金(20011045023);辽宁省自然科学基金(20022030);沈阳市自然科学基金(1022033-1-07)资助项目

Boolean Algebra Based on the Two New Operations in the Rough Set Theory

ZHANG Hua-guang, LIANG Hong-li   

  1. School of Information Sciences & Engineering, Northeastern University, Shenyang 110004, China
  • Received:2003-09-14 Revised:2003-12-15 Online:2004-12-31 Published:2004-12-31

PDF

67

被引次数

22

摘要： 主要定义两种新型算子并讨论基于这两种新型算子的粗糙集的代数性质.基于这两种算子建立了粗糙集的并、交、补运算,并证明在此定义下的粗糙集补集为Boolean补.

关键词: 基本致粗因子, 基本致粗相关因子, 确定增量算子, 不确定减量算子, Boolean补, 粗糙集理论, Boolean代数

Abstract: In this paper, two new operators are defined and the algebra properties of the rough set based on these two operators are discussed. The operations of union, intersection and complement based on the two operators prove that the complement of the rough set under this definition is Boolean complement.

Key words: uncertain decrement operator, Boolean complement, Boolean algebra, RST, basic factor of inducing rough, correlation basic factor of inducing rough, certain increment operator

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