| 粗糙集的矩阵刻画 |
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| 引用本文： | 刘文军,郭庆.粗糙集的矩阵刻画[J].模糊系统与数学,2019(3):169-174. |
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| 作者姓名： | 刘文军 郭庆 |
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| 作者单位： | 长沙理工大学数学与统计学院;合肥工业大学数学学院 |
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| 基金项目： | 2015年湖南省创新平台与人才计划项目(2015RS4049) |
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| 摘 要： | 本文首先从一个二元关系矩阵出发,给出经典粗糙集、模糊粗糙集、粗糙模糊集的上下近似的矩阵描述,然后研究了它们的性质,最后将粗糙集、模糊粗糙集、粗糙模糊集的上下近似的定义用矩阵的方法统一起来,给研究带来了方便。矩阵的方法不仅提供了上下近似的简单的计算方法,也提供了一种新的推理的方法。
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| 关 键 词： | 粗糙集 模糊粗糙集 粗糙模糊集 关系矩阵 上下近似 |
The Matrix Depict Approaches of Rough Sets |
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| LIU Wen-jun,GUO Qing.The Matrix Depict Approaches of Rough Sets[J].Fuzzy Systems and Mathematics,2019(3):169-174. |
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| Authors: | LIU Wen-jun GUO Qing |
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| Institution: | (Department of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410076,China;School of Mathematics,Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | In this paper,the author studies the rough sets used matrix.First,the upper and lower approximation operators of Pawlak rough sets,fuzzy-rough sets,rough-fuzzy sets are redefined using the matrix representation;then the properties of these upper and lower approximation operators are discussed;at last,the definitions of the upper and lower approximation operators of Pawlak rough sets,fuzzy-rough sets,rough-fuzzy sets are unified through the compound operator of matrix.The matrix approach afford not only a simply computing method of the upper and lower approximation operators of rough sets,but also a new inference method. |
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| Keywords: | Rough Sets Fuzzy-rough Sets Rough-fuzzy Sets Relation Matrix Upper and Lower Ap-proximation |
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