| 双向S-粗模糊集及其性质 |
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| 引用本文： | 侯海军. 双向S-粗模糊集及其性质[J]. 模糊系统与数学, 2007, 21(4): 132-136 |
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| 作者姓名： | 侯海军 |
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| 作者单位： | 商丘师范学院,数学系,河南,商丘,476000 |
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| 基金项目： | 河南省自然科学基金资助项目(05110137000511012000)，河南省教育厅自然科学基金资助项目(200510483002) |
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| 摘 要： | 讨论模糊集与双向S-粗集的联系。首先给出双向S-粗模糊集的概念,接着讨论它们的并、交、补运算及其性质;特别地,证明双向S-粗模糊集对并、交、补运算构成完全可无限分配的软代数。
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| 关 键 词： | 模糊集 粗集 双向S-粗集 双向S-粗模糊集 |
| 文章编号： | 1001-7402（2007）04-0132-05 |
| 收稿时间： | 2006-09-18 |
| 修稿时间： | 2006-09-182007-04-07 |
Two-direction Singular Rough Fuzzy Set and It's Properties |
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| HOU Hai-jun. Two-direction Singular Rough Fuzzy Set and It's Properties[J]. Fuzzy Systems and Mathematics, 2007, 21(4): 132-136 |
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| Authors: | HOU Hai-jun |
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| Affiliation: | Department of Mathematics,Shangqiu Normal College,Shangqiu 476000,China |
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| Abstract: | The relation between fuzzy set and two-direction singular rough set is discussed in this paper.Firstly,the definition of two-direction singular rough fuzzy set is introduced.And then the operations and properties of the union,intersection and complement for two-direction singular rough fuzzy set are discussed.Especially,it is proved that the soft algebra is constituted by two-direction singular rough fuzzy set,which can be assigned on the operations of the union,intersection and complement completely and infinitely. |
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| Keywords: | Fuzzy Set Rough Set Two-direction Singular Rough Set Two-direction Singular Rough Fuzzy Set |
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