| 半群上的粗集与模糊同余 |
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| 引用本文： | 肖光灿. 半群上的粗集与模糊同余[J]. 西南科技大学学报, 2006, 21(1): 87-90,97 |
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| 作者姓名： | 肖光灿 |
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| 作者单位： | 西南科技大学理学院,四川,绵阳,621010 |
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| 摘 要： | Fuzzy集理论和Rough集的结合为处理不确定性现象提供了一个新的空间。引入了半群上的粗集,建立了半群粗集的模糊同余关系,讨论了在模糊代数系统下,粗集的一些代数性质。
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| 关 键 词： | 同余类 粗集 半群 模糊同余 模糊等价类 模糊集之核 |
| 文章编号： | 1671-8755（2006）01-0087-04 |
| 收稿时间： | 2005-11-28 |
| 修稿时间： | 2005-11-28 |
Rough Sets and Fuzzy Congruence in Semigroup |
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| Xiao Guangcan. Rough Sets and Fuzzy Congruence in Semigroup[J]. Journal of Southwest University of Science and Technology, 2006, 21(1): 87-90,97 |
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| Authors: | Xiao Guangcan |
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| Affiliation: | School of Sciences, Southwest University of Science and Technology, Mianyang 621010, Sichuan , China |
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| Abstract: | The combination of fuzzy set theory and rough set concept, in order to deal with indefinite phenomenon, provided a new space. The notion of rough sets in semigroups was introduced. Fuzzy congruence relation in semigroups was built and algebra system discussed. Some rough sets algebra properties were discussed under the algebra. |
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| Keywords: | congruence class rough set semigroups fuzzy congruence fuzzy equivalence relation class kernel of Fuzzy sets |
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