| Rough Class on a Completely Distributive Lattice |
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| 引用本文： | 陈德刚,张文修,宋士吉. Rough Class on a Completely Distributive Lattice[J]. 清华大学学报, 2003, 8(2) |
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| 作者姓名： | 陈德刚 张文修 宋士吉 |
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| 作者单位： | Department of Automation，Tsinghua University，Beijing 100084，China，Institute for Information and System Science，Xi’an Jiaotong University，Xi’an 710049，China，Department of Automation，Tsinghua University，Beijing 100084，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(No.60074015) |
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| 摘 要： | This paper generalizes the Pawlak rough set method to a completely distributive lattice. The concept of a rough set has many applications in data mining. The approximation operators on a completely distributive lattice are studied, the rough class on a completely distributive lattice is defined and the expressional theorems of the rough class are proven. These expressional theorems are used to prove that the collection of all rough classes is an atomic completely distributive lattice.
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Rough Class on a Completely Distributive Lattice |
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| CHEN Degang,ZHANG Wenxiu,SONG Shiji. Rough Class on a Completely Distributive Lattice[J]. Tsinghua Science and Technology, 2003, 8(2) |
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| Authors: | CHEN Degang ZHANG Wenxiu SONG Shiji |
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| Affiliation: | CHEN Degang,ZHANG Wenxiu,SONG ShijiDepartment of Automation,Tsinghua University,Beijing 100084,China, t Institute for Information and System Science,Xi'an Jiaotong University,Xi'an 710049,China |
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| Abstract: | This paper generalizes the Pawlak rough set method to a completely distributive lattice. The concept of a rough set has many applications in data mining. The approximation operators on a completely distributive lattice are studied, the rough class on a completely distributive lattice is defined and the expressional theorems of the rough class are proven. These expressional theorems are used to prove that the collection of all rough classes is an atomic completely distributive lattice. |
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| Keywords: | rough sets completely distributive lattice rough class |
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