Variable precision soft rough set

Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (1): 101-104.

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Variable precision soft rough set

SHI Mengting1, LIU Wenqi1, YU Gaofeng1, LI Lei2

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

Online:2014-01-01 Published:2013-12-30

变精度软粗糙集

石梦婷1，刘文奇1，余高锋1，李磊2

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

Abstract

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.

Key words: soft sets, rough sets, soft rough sets, inclusion degree, variable precision

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。

关键词: 软集合, 粗糙集, 软粗糙集, 包含度, 变精度

SHI Mengting1, LIU Wenqi1, YU Gaofeng1, LI Lei2. Variable precision soft rough set[J]. Computer Engineering and Applications, 2014, 50(1): 101-104.

石梦婷1，刘文奇1，余高锋1，李磊2. 变精度软粗糙集[J]. 计算机工程与应用, 2014, 50(1): 101-104.

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Variable precision soft rough set

变精度软粗糙集

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