|
|||||
|
|
| 粗糙集的阶梯式近似 | |
| 引用本文： | 马周明,张海洋,陈锦坤,李进金.粗糙集的阶梯式近似[J].模式识别与人工智能,2019,32(7):600-606. |
| 作者姓名： | 马周明 张海洋 陈锦坤 李进金 |
| 作者单位： | 1.闽南师范大学 数学与统计学院 漳州 363000 2.闽南师范大学 数字福建气象大数据研究所 漳州 363000 |
| 基金项目： | 国家自然科学基金项目(No.A011404,61573127,61672272,61603173,11701258)、福建省自然科学基金项目(No.2017J01507,2019J01748)资助 |
| 摘 要： | 首先,利用基于边界域粗糙近似算子,给出 n 阶边界集的定义,引入 n 阶粗糙近似算子的定义,构造粗糙集理论的一套阶梯式近似方法.然后,通过实例和相关证明表明,无论二元关系还是在覆盖环境中,总存在正整数 n ,对于任意对象集, n 阶上下近似集完全等于该对象集,即该对象集是此意义下的精确集,或其 n 阶上下近似集趋近于某一固定的对象集,即 n 阶粗糙集总能使对象集合趋近于它本身或某一固定的集合. |
| 关 键 词： | N 阶粗糙集 精确集 近似算子 边界域 阶梯式近似方法 |
| 收稿时间： | 2019-05-15 |
Stepped Approximation Method of Rough Sets |
|
| MA Zhouming,ZHANG Haiyang,CHEN Jinkun,LI Jinjin.Stepped Approximation Method of Rough Sets[J].Pattern Recognition and Artificial Intelligence,2019,32(7):600-606. | |
| Authors: | MA Zhouming ZHANG Haiyang CHEN Jinkun LI Jinjin |
| Affiliation: | 1.School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000 2.Institute of Meteorological Big-Digital Fujian, Minnan Normal University, ZhangZhou 363000 |
| Abstract: | The definition of n-step boundary set is given based on rough approximation operator in boundary region. The definition of n-step rough approximation operator is introduced and a set of stepped approximation method of rough set theory is constructed. The examples and related proofs show that positive integers always exist in both binary relations and coverage environments, the n-step upper and lower approximation sets are exactly equal to the set of objects, and the object set is the exact set in this sense. Its n-step upper and lower approximation sets or approach a fixed set of objects. The n-step rough set can make an object set approach itself or a fixed set. |
| Keywords: | n-Step Rough Set Exact Set Approximation Operator Boundary Region Stepped Approximation Method |
| 本文献已被 维普 等数据库收录！ | |
| 点击此处可从《模式识别与人工智能》浏览原始摘要信息 | |
| 点击此处可从《模式识别与人工智能》下载全文 | |
