Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (33): 46-47.DOI: 10.3778/j.issn.1002-8331.2008.33.014

• 理论研究 • Previous Articles     Next Articles

Rough set algebra and BL algebra

QIAO Quan-xi1,2,QIN Ke-yun1   

  1. 1.Department of Mathematics,Southwest Jiaotong University,Chengdu 610031,China
    2.School of Mathematics & Information Science,Henan Polytechnic University,Jiaozuo,Henan 454000,China
  • Received:2008-05-13 Revised:2008-06-23 Online:2008-11-21 Published:2008-11-21
  • Contact: QIAO Quan-xi

粗糙集代数与BL代数

乔全喜1,2,秦克云1   

  1. 1.西南交通大学 数学系,成都 610031
    2.河南理工大学 数学与信息科学学院,河南 焦作 454000
  • 通讯作者: 乔全喜

Abstract: The relation between rough set algebra and BL algebra is studied.Based on the lattice structure of rough set algebra,It is proved that rough set algebra becomes BL algebra if proper implication operator are selected.

Key words: rough set, rough set algebra, residuated lattice, BL algebra

摘要: 讨论粗糙集代数与BL代数的关系以及由粗糙集代数构造BL代数的方法。粗糙集代数本身具有格结构,证明了在适当选取蕴涵算子之后,粗糙集代数就成为BL代数。

关键词: 粗糙集, 粗糙集代数, 剩余格, BL-代数