| 基于9种常用蕴涵算子上的模糊强正则子半群 |
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| 引用本文： | 姜雪,张忠香,廖祖华,刘春芝,曹姝,张扬.基于9种常用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(3):358-362. |
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| 作者姓名： | 姜雪 张忠香 廖祖华 刘春芝 曹姝 张扬 |
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| 作者单位： | 1. 江南大学理学院,江苏无锡,214122
2. 山西高平中专学校,山西高平,048400 |
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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，江苏省高等学校大学生实践创新训练计划项目，江南大学创新团队发展计划项目 |
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| 摘 要： | 在前期工作基础上,利用不等式的刻画方法,给出9种常用的R-蕴涵算子下的R-模糊强正则子半群9种等价形式,推广了现有相应模糊代数的结果,丰富了模糊代数的理论成果。
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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 Nine Familiar Kinds of Implication Operator |
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| JIANG Xue
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ZHANG Zhong-xiang
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LIAO Zu-hua
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LIU Chun-zhi
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CAO Shu
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ZHANG Yang.Fuzzy Strong Regular Subsemigroup Based on Nine Familiar Kinds of Implication Operator[J].Journal of Southern Yangtze University:Natural Science Edition,2012,11(3):358-362. |
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| Authors: | JIANG Xue ZHANG Zhong-xiang LIAO Zu-hua LIU Chun-zhi CAO Shu ZHANG Yang |
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| Institution: | 1(1.Schools of Science,Jiangnan University,Wuxi 214122,China;2.Shanxi Gaoping Secondary School,Gaoping 048400,China) |
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| Abstract: | This paper is a continue of the paper "Fuzzy Strong Regular Subsemigroup Based on Implication Operator".Using the method of the characterization of inequality,nine kinds of equivalent forms of fuzzy strong regular subsemigroup based on familiar nine kinds of implication operator are given.This paper promotes the results of the corresponding fuzzy algebra,enriches theoretical results of fuzzy algebra. |
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| Keywords: | regular subsemigroup fuzzy strong regular subsemigroup R-fuzzy strong regular subsemigroup implica-tion operator |
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