Analysis of Hierarchical Structure of Neighborhood Systems

doi:10.3778/j.issn.1673-9418.2012.03.008

Journal of Frontiers of Computer Science and Technology ›› 2012, Vol. 6 ›› Issue (3): 275-280.DOI: 10.3778/j.issn.1673-9418.2012.03.008

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Analysis of Hierarchical Structure of Neighborhood Systems

ZHOU Junyi, YANG Xibei, YANG Jingyu

1. School of Economics and Management, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212003, China
2. School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212003, China
3. School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 210094, China
4. Jiangsu Sunboon Information Technology Co., Ltd., Wuxi, Jiangsu 214072, China

Online:2012-03-01 Published:2012-03-01

邻域系统分层递阶结构分析

周君仪, 杨习贝, 杨静宇

1. 江苏科技大学经济管理学院, 江苏镇江 212003
2. 江苏科技大学计算机科学与工程学院, 江苏镇江 212003
3. 南京理工大学计算机科学与技术学院, 南京 210094
4. 江苏尚博信息科技有限公司, 江苏无锡 214072

Abstract

Abstract: From the viewpoint of the neighborhood system based rough set, this paper presents five axioms to describe the hierarchical structure of the neighborhood systems. Moreover, it proposes a new order relation to describe the finer relation between different neighborhood systems. Finally, it proves that the proposed preference relation satisfies the five axioms of the hierarchical structure of the neighborhood systems.

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Key words: granular computing, hierarchical structure, neighborhood system, rough set

摘要： 以基于邻域系统的粗糙集模型为基础, 给出了邻域系统分层递阶结构的5条公理; 提出了一种序关系, 用来描述不同邻域系统之间的粗细关系; 证明了新提出的这种序关系满足邻域系统分层递阶结构的公理化形式。

关键词: 粒计算, 分层递阶结构, 邻域系统, 粗糙集

ZHOU Junyi, YANG Xibei, YANG Jingyu. Analysis of Hierarchical Structure of Neighborhood Systems[J]. Journal of Frontiers of Computer Science and Technology, 2012, 6(3): 275-280.

周君仪, 杨习贝, 杨静宇. 邻域系统分层递阶结构分析[J]. 计算机科学与探索, 2012, 6(3): 275-280.

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Analysis of Hierarchical Structure of Neighborhood Systems

邻域系统分层递阶结构分析

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