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。
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.
出处
《计算机科学与探索》
CSCD
2012年第3期275-280,共6页
Journal of Frontiers of Computer Science and Technology
基金
国家自然科学基金No.61100116
中国博士后科学基金No.20100481149
江苏省自然科学基金No.BK2011492
江苏省高校自然科学基金No.11KJB520004
江苏省博士后科学基金No.1101137C~~
关键词
粒计算
分层递阶结构
邻域系统
粗糙集
granular computing
hierarchical structure
neighborhood system
rough set