| 模糊拟阵闭集的性质 |
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| 引用本文： | 刘志花,吴德垠,李斌. 模糊拟阵闭集的性质[J]. 山西师范大学学报：自然科学版, 2007, 21(1): 48-52 |
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| 作者姓名： | 刘志花 吴德垠 李斌 |
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| 作者单位： | 重庆大学数理学院 重庆400044 |
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| 摘 要： | 本文首先给出了模糊拟阵闭集的等价定义,找到了模糊拟阵的闭集族和它的导出拟阵的闭集族之间的关系,同时在拟阵的闭集定理和模糊拟阵的闭包公理的基础上得到了模糊闭集定理,进一步由格的定义证明了模糊拟阵的闭集族和它的r水-平集是格.
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| 关 键 词： | 模糊闭集 模糊闭包算子 偏序集 格 |
| 文章编号： | 1009-4490（2007）01-0048-05 |
| 收稿时间： | 2006-10-20 |
| 修稿时间： | 2006-10-20 |
The Properties of Close-set of Fuzzy Matroid |
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| LIU Zhi-hua,WU De-yin,LI Bin. The Properties of Close-set of Fuzzy Matroid[J]. Journal of Shanxi Teachers University, 2007, 21(1): 48-52 |
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| Authors: | LIU Zhi-hua WU De-yin LI Bin |
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| Abstract: | Firstly,the equivalent definition of the closed sets in fuzzy matroids is obtained and the relationship between the family of fuzzy closed sets in fuzzy matroid M and M-induced matroid's closed sets family is founded.Furthermore,fuzzy closed sets theorem is obtained from the closed sets theorem of matroid and closure axioms of fuzzy matroid.Furthermore,the arguer comes to prove that the close-set family of fuzzy matroid and its r-level set is lattice. |
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| Keywords: | fuzzy matroids fuzzy closed sets fuzzy closure operator partially ordered set lattice |
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