| 模糊群的子模糊群和正规子模糊群 |
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| 引用本文： | 林琳,董晓梅.模糊群的子模糊群和正规子模糊群[J].辽宁师范大学学报(自然科学版),2002,25(2):123-125. |
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| 作者姓名： | 林琳 董晓梅 |
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| 作者单位： | 1. 辽宁师范大学,数学系,辽宁,大连,116029
2. 大连轻工业学院,基础部,辽宁,大连,116034 |
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| 摘 要： | 设G为在模糊二元运算下的模糊群 .给出了G的子模糊群和正规子模糊群的定义 .讨论子模糊群和正规子模糊群的一些性质 .证明了子模糊群的交为子模糊群 ,子模糊群与正规子模糊群的“积”为子模糊群 .
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| 关 键 词： | 模糊群 模糊二元运算 子模糊群 正规子模糊群 |
| 文章编号： | 1000-1735(2002)02-0123-03 |
| 修稿时间： | 2001年12月27 |
The Sub-fuzzy-group and Normal Sub-fuzzy-group of Fuzzy Group |
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| LIN Lin ,DONG Xiao mei.The Sub-fuzzy-group and Normal Sub-fuzzy-group of Fuzzy Group[J].Journal of Liaoning Normal University(Natural Science Edition),2002,25(2):123-125. |
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| Authors: | LIN Lin DONG Xiao mei |
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| Institution: | LIN Lin 1,DONG Xiao mei 2 |
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| Abstract: | In this paper, G is a fuzzy group on fuzzy binary operation,the definitions of sub fuzzy group and normal sub fuzzy group of G are introduced and some properties of them are discussed. Furthermore,it is proved that the intersection of sub fuzzy groups is still a sub fuzzy group and the "product" of a sub fuzzy group and a normal sub fuzzy group is still a sub fuzzy group. |
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| Keywords: | fuzzy group fuzzy binary operation sub fuzzy group normal sub fuzzy group |
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