| 基于蕴函算子上的模糊子群 |
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| 引用本文： | 赵艳英,袁学海,赵秋. 基于蕴函算子上的模糊子群[J]. 北华大学学报(自然科学版), 2002, 3(5): 378-380. DOI: 10.3969/j.issn.1009-4822.2002.05.003 |
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| 作者姓名： | 赵艳英 袁学海 赵秋 |
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| 作者单位： | 鞍山师范学院小教系,辽宁,鞍山,114011;辽宁师范大学数学系,辽宁,大连,116029 |
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| 摘 要： | 给出了基于蕴函算子上的模糊子群的定义(称之为R-模糊子群)讨论了这种模糊子群与已有的模糊子群的区别与联系,证明了两个R-模糊子群的交仍是R-模糊子群,R-模糊子群的同态象仍是R-模糊子群.
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| 关 键 词： | 模糊子群 蕴函算子 R-模糊子群 |
| 文章编号： | 1009-4822(2002)05-0378-03 |
| 修稿时间： | 2002-04-15 |
Fuzzy Subgroup Based on Implication Operator |
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| Zhao Yanying ,Yuan Xuehai ,Zhao Qiu. Fuzzy Subgroup Based on Implication Operator[J]. Journal of Beihua University(Natural Science), 2002, 3(5): 378-380. DOI: 10.3969/j.issn.1009-4822.2002.05.003 |
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| Authors: | Zhao Yanying Yuan Xuehai Zhao Qiu |
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| Affiliation: | Zhao Yanying 1,Yuan Xuehai 2,Zhao Qiu 1 |
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| Abstract: | The definition of fuzzy subgroup based on the implication operator(lt's called R fuzzy subgroup) is given. The differences and connection between this fuzzy subgroup and the former fuzzy subgroup are discussed, and it is proved that the intersection of R fuzzy subgroups is still R fuzzy subgroup and the hommorphism image of R fuzzy subgroup is still R fuzzy subgroup. |
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| Keywords: | Fuzzy subgroup Implication operator R fuzzy subgroup |
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