| CS(K)上的S-粗集特征 |
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| 引用本文： | 张春英,薛佩军,刘保相. CS(K)上的S-粗集特征[J]. 山东大学学报(理学版), 2006, 41(2): 18-23 |
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| 作者姓名： | 张春英 薛佩军 刘保相 |
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| 作者单位： | 河北理工大学,理学院,河北,唐山,063009;山东大学,数学与系统科学学院,山东,济南,250100 |
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| 摘 要： | 对CS(K)（概念格）上的概念结点进行等价类划分，分析了概念格的粗集特征和S-粗集特征，给出了概念格上粗集和S-粗集的定义及其相应定理，找出概念格与粗集、S-粗集之间的关系，并通过实例说明了CS(K)上的S-粗集特征.
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| 关 键 词： | S-粗集 概念格 f-扩张 (-f)-萎缩 |
| 文章编号： | 1671-9352（2006）02-0018-06 |
| 收稿时间： | 2005-08-27 |
| 修稿时间： | 2005-08-27 |
The characteristic of S-rough sets on CS(K) |
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| ZHANG Chun-ying,XUE Pei-jun,LIU Bao-xiang. The characteristic of S-rough sets on CS(K)[J]. Journal of Shandong University, 2006, 41(2): 18-23 |
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| Authors: | ZHANG Chun-ying XUE Pei-jun LIU Bao-xiang |
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| Affiliation: | 1. College of Sci., Hebei Polytechnic Univ., Tangshan 063009, Hebei, China; 2. School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China |
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| Abstract: | According to the equivalence class,the concept nodes of CS(K)(Concept Lattice) are partitioned.The characteristics of rough sets and S-rough sets are analyzed.The definitions of rough sets and S-rough sets on CS(K) are given and the related theorem is presented.The relation between the concept lattice and S-rough sets is found.At last,the characteristics of S-rough sets are illnstrated with an example. |
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| Keywords: | S-rough sets concept lattice f-dilation f^--reduction |
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