| 双向S-粗糙模糊集及其应用 |
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| 引用本文： | 刘纪芹,裴海峰.双向S-粗糙模糊集及其应用[J].山东大学学报(理学版),2008,43(2):19-22. |
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| 作者姓名： | 刘纪芹 裴海峰 |
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| 作者单位： | 山东财政学院统计与数理学院,山东,济南,250014 |
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| 基金项目： | 山东财政学院博士科研启动基金
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山东财政学院院级课题 |
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| 摘 要： | 利用模糊元素迁移的概念,将静态的模糊集推广到动态的模糊集,得到双向S-模糊集。以此为基础,提出了双向S-粗糙模糊集,给出了双向S-粗糙模糊集的结构。分析了双向S-粗糙模糊集与Z.Pawlak 粗集、Dubois粗糙模糊集以及双向S-粗集之间的关系。给出了双向S-粗糙模糊集的应用。
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| 关 键 词： | 动态模糊集 双向S-粗糙模糊集 模糊元素迁移 Dubois粗糙模糊集 |
| 文章编号： | 1671-9352(2008)02-0019-04 |
| 修稿时间： | 2007年6月11日 |
A two-direction S-rough fuzzy set and its application |
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| LIU Ji-qin,PEI Sai-feng.A two-direction S-rough fuzzy set and its application[J].Journal of Shandong University,2008,43(2):19-22. |
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| Authors: | LIU Ji-qin PEI Sai-feng |
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| Institution: | Department of Statistics and Mathematics, Shandong Finance Institute, Jinan 250014, Shandong, China |
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| Abstract: | Using the concept of fuzzy elementary transfers, a static fuzzy set was generalized to a dynamic fuzzy set, then a two-direction S-fuzzy set was obtained. Based on this, a two-direction S-rough fuzzy set was proposed, and its general structure was given. The relationships between a two-direction S-rough fuzzy set and Z.Pawlak rough sets, between a two-direction S-rough fuzzy set and a Dubois rough fuzzy set, between a two-direction S-rough fuzzy set and a two-direction S-rough set were analyzed. The application of the two-direction S-rough fuzzy set was given. A two-direction S-rough fuzzy set is a dynamic rough fuzzy set. |
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| Keywords: | dynamic fuzzy set two-direction S-rough fuzzy set fuzzy elementary transfers Dubois rough fuzzy set |
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