| S-粗集与它的分解-还原 |
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| 引用本文： | 史开泉,崔玉泉. S-粗集与它的分解-还原[J]. 系统工程与电子技术, 2005, 27(4): 644-651 |
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| 作者姓名： | 史开泉 崔玉泉 |
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| 作者单位： | 山东大学数学与系统科学学院,山东,济南,250100 |
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| 基金项目： | 国家自然科学基金资助课题(70271048) |
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| 摘 要： | 利用S-粗集(singular
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| 关 键 词： | S-粗集 分解类 还原类 分解定理 还原定理 属性安全性原理 |
| 文章编号： | 1001-506X(2005)04-0644-08 |
| 修稿时间： | 2004-05-15 |
Decomposition and reduction of S-rough sets |
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| SHI Kai-quan,CUI Yu-quan. Decomposition and reduction of S-rough sets[J]. System Engineering and Electronics, 2005, 27(4): 644-651 |
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| Authors: | SHI Kai-quan CUI Yu-quan |
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| Abstract: | By using S-rough set(singular rough set)and its two forms: one-direction singular rough set and two-direction singular rough set, the decomposition class and reduction class of equivalence class and conception of decomposition base and reduction base are given. The decomposition theorem, reduction theorem, decomposition - reduction theorem, maximum attribute set theorem, minimum attribute set theorem and attribute safety principle are put forward. Decomposition and reduction of S-rough sets is the theoretical basis of rough inference in the rough system. S-rough set is a new direction in the research on the theory and application of rough sets and rough system. |
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| Keywords: | S-rough sets decomposition class reduction class decomposition theorem reduction theorem attribute safety principle |
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