| 对粗糙集两种新算子的注记 |
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| 引用本文： | 杨勇,吴鹏,李廉.对粗糙集两种新算子的注记[J].西北师范大学学报,2007,43(4):17-19. |
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| 作者姓名： | 杨勇 吴鹏 李廉 |
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| 作者单位： | [1]西北师范大学数学与信息科学学院,甘肃兰州730070 [2]兰州大学信息科学与工程学院,甘肃兰州730000 |
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| 摘 要： | 在粗糙集中，定义了集合并的下增近似和交的上减近似2种算子，它们与确定增量算子和不确定减量算子是等价的．这2种算子简单、直观，成功地解决了粗集运算中将包含关系转化为相等关系的问题，同时，利用它们可以、简化有关算子性质的证明．
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| 关 键 词： | 粗糙集 确定增量算子 不确定减量算子 并的下增近似 交的上减近似 |
| 文章编号： | 1001-988X（2007）04-0017-03 |
| 修稿时间： | 2006-11-272007-03-11 |
A note on two new operators in rough set theory |
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| YANG Yong,WU Peng,LI Lian.A note on two new operators in rough set theory[J].Journal of Northwest Normal University Natural Science (Bimonthly),2007,43(4):17-19. |
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| Authors: | YANG Yong WU Peng LI Lian |
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| Institution: | 1. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China; 2. School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, Gansu, China |
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| Abstract: | The two new operators, the lower increment approximation of union and upper decrement approximation of intersection on sets are defined in rough set theory, which are equivalent in essence to the certain increment operator and uncertanin decrement operator. With the aid of this pair of operators, the two inclusion relations in rough set theory can be changed into equal relations, meanwhile some proofs related to operator properties are simplified. |
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| Keywords: | rough set certain increment operator uncertain decrement operator lower increment approximation of union upper decrement approximation of intersection |
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