| 模糊同余关系下的模糊粗糙群的同态 |
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| 引用本文： | 张金玲.模糊同余关系下的模糊粗糙群的同态[J].襄樊学院学报,2012(11):5-7. |
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| 作者姓名： | 张金玲 |
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| 作者单位： | 湖北文理学院数学与计算机科学学院,湖北襄阳441053 |
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| 摘 要： | 从群上的模糊正规子群与完备模糊同余关系的对应出发,研究模糊同余关系下的模糊粗糙群与模糊粗糙商群的同态关系.即在一定条件下,满同态能保持模糊同余关系的结果.进一步补充和丰富了模糊集与粗糙集的交叉理论.
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| 关 键 词： | 模糊正规子群 模糊同余关系 模糊粗糙群 模糊同态 |
Homomorphisms of Fuzzy Rough Groups Based on Fuzzy Congruence Relation |
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| ZHANG Jin-ling.Homomorphisms of Fuzzy Rough Groups Based on Fuzzy Congruence Relation[J].Journal of Xiangfan University,2012(11):5-7. |
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| Authors: | ZHANG Jin-ling |
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| Institution: | ZHANG Jin-ling(School of Mathematical and Computer Sciences,Hubei University of Arts and Science,Xiangyang 441053,China) |
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| Abstract: | In this paper,by the corresponding between fuzzy normal subgroups and complete fuzzy congruence relation on a group,the homomorphisms relation of fuzzy rough groups based on fuzzy congruence relation was studied.It concludes that an epimorphism could keep fuzzy congruence relation in some condition,which Supplement and rich the cross theory concerned with both fuzzy sets and rough sets. |
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| Keywords: | Fuzzy normal subgroups Fuzzy congruence relations Fuzzy rough groups Fuzzy homomorphisms |
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