| 基于蕴涵算子上的模糊强正则子半群 |
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| 引用本文： | 姜雪,廖祖华,刘春芝,曹姝,张扬.基于蕴涵算子上的模糊强正则子半群[J].江南大学学报(自然科学版),2012,11(2):239-242. |
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| 作者姓名： | 姜雪 廖祖华 刘春芝 曹姝 张扬 |
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| 作者单位： | 江南大学理学院,江苏无锡,214122 |
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| 基金项目： | 江苏省教育科学“十一五”规划基金，江苏省教育厅项目，江南大学创新团队发展计划项目 |
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| 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。
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| 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 |
Fuzzy Strong Regular Subsemigroup Based on Implication Operator |
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| JIANG Xue
,
LIAO Zu-hua
,
LIU Chun-zhi
,
CAO Shu
,
ZHANG Yang.Fuzzy Strong Regular Subsemigroup Based on Implication Operator[J].Journal of Southern Yangtze University:Natural Science Edition,2012,11(2):239-242. |
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| Authors: | JIANG Xue LIAO Zu-hua LIU Chun-zhi CAO Shu ZHANG Yang |
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| Institution: | (Schools of Science,Jiangnan University,Wuxi 214122,China) |
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| Abstract: | 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. |
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| Keywords: | regular subsemigroup fuzzy strong regular subsemigroup R-fuzzy strong regular subsemigroup implication operator |
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