| 两种类型的粗糙度不等式 |
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| 引用本文： | 付艳玲,秦克云.两种类型的粗糙度不等式[J].江南大学学报(自然科学版),2007,6(1):115-118. |
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| 作者姓名： | 付艳玲 秦克云 |
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| 作者单位： | 1. 西南交通大学,理学院,四川,成都,610031;河南财政税务高等专科学校,信息工程系,河南,郑州,450000
2. 西南交通大学,理学院,四川,成都,610031 |
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| 基金项目： | 国家自然科学基金项目(60474022) |
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| 摘 要： | 讨论了粗糙近似算子的性质.基于粗糙集理论,给出了经典集在Pawlak近似空间下的粗糙度不等式取等号的两个等价的充分条件;同时给出了模糊集在Pawlak近似空间下粗糙度不等式取等号的充分条件以及粗糙模糊集水平截集的一些性质.
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| 关 键 词： | 粗糙集 模糊集 粗糙度 上近似 下近似 近似空间 |
| 文章编号： | 1671-7147（2007）01-0115-04 |
| 收稿时间： | 2005-07-25 |
| 修稿时间： | 2005-07-252005-09-29 |
Two Kinds of Rough Degree Inequality |
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| FU Yan-ling,QIN Ke-yun.Two Kinds of Rough Degree Inequality[J].Journal of Southern Yangtze University:Natural Science Edition,2007,6(1):115-118. |
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| Authors: | FU Yan-ling QIN Ke-yun |
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| Institution: | 1. School of Science, Southwest Jiaotong University, Chengdu 610031,China; 2. Department of Information and Engineering, Henan College of Finance and Taxation,Zhengzhou 450000,China |
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| Abstract: | Three parts make up of this paper.The first one is what kind of sufficient conditions can make the rough degree inequality in classical sets into equality,and two equivalent conditions are presented.The second one part is about a sufficient condition that can make the rough degree inequality into equality in fuzzy sets.The third one is to present and discuss some properties of cut of rough-fuzzy sets. |
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| Keywords: | rough set fuzzy set rough degree upper approximation lower approximation approximation space |
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