| 模糊粗糙集的表示及应用 |
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| 引用本文： | 许金权.模糊粗糙集的表示及应用[J].模糊系统与数学,2011,25(1):146-152. |
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| 作者姓名： | 许金权 |
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| 作者单位： | 浙江海洋学院,数理与信息学院,浙江,舟山,316004 |
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| 基金项目： | 国家自然科学基金，浙江省教育厅科研计划项目 |
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| 摘 要： | 一个模糊粗糙集是一对模糊集,它可以用一簇经典粗糙集表示出来.本文研究了模糊粗糙集的表示问题,利用模糊集的分解定理证明了一个模糊粗糙集可以用一簇粗糙模糊集表示出来,利用这个结果可以证明模糊粗糙集的一些重要性质.
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| 关 键 词： | 模糊集 粗糙集 粗糙模糊集 模糊粗糙集 近似算子 |
Representations of Fuzzy Rough Sets with Applications |
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| XU Jing-quan.Representations of Fuzzy Rough Sets with Applications[J].Fuzzy Systems and Mathematics,2011,25(1):146-152. |
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| Authors: | XU Jing-quan |
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| Institution: | XU Jing-quan(School of Mathematics,Physics,and Information Science,Zhejiang Ocean University,Zhoushan 316004,China) |
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| Abstract: | A fuzzy rough set is a pair of fuzzy sets and can be represented as a class of crisp rough sets.In this paper,a new representation of fuzzy rough sets is presented.It is proved that a fuzzy rough set can be represented by a class of rough fuzzy sets.The results can be used to examine properties of fuzzy rough sets. |
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| Keywords: | Fuzzy Sets Rough Sets Rough Fuzzy Sets Fuzzy Rough Sets Approximation Operators |
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