| R-模糊正规子群 |
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| 引用本文： | 曹姝,廖祖华,胡淼菡,芮明力,刘春芝.R-模糊正规子群[J].模糊系统与数学,2012,26(1):52-60. |
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| 作者姓名： | 曹姝 廖祖华 胡淼菡 芮明力 刘春芝 |
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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"规划项目，江苏省高等学校大学生实践创新训练计划项目 |
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| 摘 要： | 给出了R-模糊正规子群与基于蕴涵的模糊正规子群的定义,得到了R-模糊正规子群的交、并、同态像以及同态原像的相关性质；另外还讨论了它与不同的模糊正规子群的区别与联系,并且给出了具体的蕴涵算子厦它的等价形式.
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| 关 键 词： | R-模糊正规子群 同态像 同态原像 模糊正规子群 蕴函算子 多值蕴涵 |
R-Fuzzy Normal Subgroup |
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| CAO Shu
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LIAO Zu-hua
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HU Miao-han
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RUI Ming-li
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LIU Chun-zhi.R-Fuzzy Normal Subgroup[J].Fuzzy Systems and Mathematics,2012,26(1):52-60. |
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| Authors: | CAO Shu LIAO Zu-hua HU Miao-han RUI Ming-li LIU Chun-zhi |
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| Institution: | (School of Science,Jiangnan University,Wuxi 214122,China) |
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| Abstract: | In this paper,we introduc the definition of R-fuzzy normal subgroup and fuzzy normal subgroup based on implication,obtain some properties of intersection,union,homomorphic imageand homomorphic preimage in R-fuzzy normal subgroup.Besides,we also discuss the distinguish and contact of R-fuzzy normal subgroup with different fuzzy normal subgroup,at the same time,we give its equivalent form under specific implication operator. |
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| Keywords: | R-fuzzy Normal Subgroup Homomorphic Image Homomorphic Preimage Fuzzy Normal Subgroup Implication Operator Many-valued Implications |
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