基于蕴涵算子上的模糊强正则子半群  

Fuzzy Strong Regular Subsemigroup Based on Implication Operator

作　　者：姜雪[1] 廖祖华[1] 刘春芝[1] 曹姝[1] 张扬[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《江南大学学报（自然科学版）》2012年第2期239-242,共4页Joural of Jiangnan University (Natural Science Edition)　

基　　金：江苏省教育科学"十一五"规划基金项目(D/2006/01/171);江苏省教育厅项目(2009-598);江南大学创新团队发展计划项目(200902)

摘　　要：文中给出R-模糊强正则子半群的定义,讨论了其与模糊强正则子半群的关系,证明在一定条件下有限个R-模糊强正则子半群的交(并)还是R-模糊强正则子半群,R-模糊强正则子半群的同态像(原像)仍是R-模糊强正则子半群。In this paper,we introduce the definition of R-fuzzy strong regular subsemigroup.Based on that,the differences and connection between R-fuzzy strong regular subsemigroup and fuzzy strong regular subsemigroup are discussed.Besides,it is proved that the finite intersection（resp.union） of R-fuzzy strong regular subsemigroup is still R-fuzzy strong regular subsemigroup,and the homomorphic image（resp.preimage） of R-fuzzy strong regular subsemigroup is still R-fuzzy strong regular subsemigroup.

关 键 词：正则半群 模糊强正则子半群 R-模糊强正则子半群 蕴涵算子 

分 类 号：O159[理学—数学]