Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (28): 47-48.DOI: 10.3778/j.issn.1002-8331.2008.28.015

• 理论研究 • Previous Articles     Next Articles

Smooth group induced by group and its rough subgroup

MA Zhen-ming,YANG Wei,LIU Zhi-qiang   

  1. Department of Mathematics,Linyi Normal University,Linyi,Shandong 276005,China
  • Received:2007-12-28 Revised:2008-03-06 Online:2008-10-01 Published:2008-10-01
  • Contact: MA Zhen-ming

群与粗糙子群诱导的smooth群

马振明,杨 伟,刘志强   

  1. 临沂师范学院 数学系,山东 临沂 276005
  • 通讯作者: 马振明

Abstract: Smooth(normal) subgroup is constructed by the rough subgroup of a group;and a rough(normal) subgroup is induced by the smooth group based on group and its normal subgroup.The relations between them are obtained.

Key words: smooth subgroup, upper rough subgroup, fuzzy equality

摘要: 在群中通过其粗糙(正规)上子群构造了smooth(正规)子群;通过群及其正规子群诱导的smooth(正规)子群进一步构造了粗糙(正规)上子群,并给出它们之间的联系。

关键词: smooth子群, 上粗糙子群, 模糊相等