| 变精度软粗糙集 |
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| 引用本文： | 石梦婷,刘文奇,余高锋,李 磊.变精度软粗糙集[J].计算机工程与应用,2014(1):101-104,120. |
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| 作者姓名： | 石梦婷 刘文奇 余高锋 李 磊 |
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| 作者单位： | [1] 昆明理工大学 系统科学与应用数学系,昆明650500 [2] 杭州电子科技大学 应用数学与工程计算研究所,杭州310018 |
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| 基金项目： | 科技部科技型中小企业技术创新基金（No.11C26215305906）. |
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| 摘 要： | 从集合间的包含程度出发,构造了一种基于包含度的变精度软粗糙集模型。提出带参数的变精度近似算子的定义,得到了它的基本性质和定理,并给出了证明;定义了双精度软粗糙集的近似算子,研究了其性质;讨论了该模型与其他粗糙集模型的关系以及退化条件;举例说明了在信息处理中的应用。
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| 关 键 词： | 软集合 粗糙集 软粗糙集 包含度 变精度 |
Variable precision soft rough set |
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| SHI Mengting,LIU Wenqi,YU Gaofeng,LI Lei.Variable precision soft rough set[J].Computer Engineering and Applications,2014(1):101-104,120. |
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| Authors: | SHI Mengting LIU Wenqi YU Gaofeng LI Lei |
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| Affiliation: | 1.Department of System Science and Applied Mathematics, Kunming University of Science and Technology, Kunming 650500, China 2.Institute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou 310018, China) |
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| Abstract: | According to the inclusion degree between two sets, a variable precision soft rough set based on the inclusion degree theory is constructed. Firstly, variable precision approximation operators with a parameter are defined. Then several important properties and theorems are proposed and proved. Secondly, double variable precision approximation operators with two parameters are presented, whose properties are also studied. Finally, the relation between the above-model and other rough set models is discussed, as well as the degeneration condition. At the same time, an example is illustrated to explain the applications in information processing. |
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| Keywords: | soft sets rough sets soft rough sets inclusion degree variable precision |
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