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基于分子格及其类闭包子系统的粗近似 被引量：1

Rough Approximations Based on Molecular Lattices and Their Similar Closure Subsystems
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摘要 粗糙集的代数研究方法一直吸引着众多的研究人员,其中一个重要的研究方法是用算子的观点来看到粗糙集中的近似,并基于一般抽象代数结构来定义相应的粗糙近似算子。论文将分子格引入到粗糙集理论中作为基本代数系统,在分子格中构造了一个类似于闭包的子系统,并基于它们定义了更为一般和抽象的近似算子。文中还研究了相关粗近似结构的性质。 Research on rough set theory by algebraic method has attracted many researchers＇ attention.Regarding the lower approximation and the upper approximation as two operators,one important research method is to define the two operators based on some general algebra structures.This paper introduces molecular lattice as base algebra system on which a subsystem similar to closure is constructed.Consequently,the approximation operators are defined.Some properties of the constructed approximation structure are also studied.
作者 代宇华 代建华
机构地区 湖北省荆州市计量测试所 浙江大学人工智能研究所
出处 《计算机工程与应用》 CSCD 北大核心 2005年第30期57-59,共3页 Computer Engineering and Applications
基金 国家973重点基础研究发展规划项目(编号:2002CB312106) 浙江省科技计划项目(编号:2004C31098) 中国博士后科学基金项目(编号:2004035715)
关键词 粗糙集 近似算子 分子格 闭包 rough sets,approximation operators,molecular lattices,closure
分类号 TP18 [自动化与计算机技术—控制理论与控制工程]
  • 相关文献

参考文献8

  • 1代建华.利用分子格对粗糙集理论进行推广[J].计算机学报,2004,27(10):1436-1440. 被引量：10
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二级参考文献7

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共引文献9

同被引文献9

  • 1代建华.利用分子格对粗糙集理论进行推广[J].计算机学报,2004,27(10):1436-1440. 被引量：10
  • 2陈园园,路娟,李生刚.预拓扑分子格以及它们之间的开映射和闭映射[J].纺织高校基础科学学报,2005,18(3):229-232. 被引量：11
  • 3代建华 潘云鹤 陈卫东.基于分子格及其类拓扑子系统的粗近似[J].计算机科学,2004,31(10):53-54.
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  • 9Lin T Y,Liu Q.Rough approximate operators:Axiomatic rough set theory[M].In:Ziarko W.(ed.) Rough sets,fuzzy sets and knowledge discovery,Berlin:Springer-Verlag,1994:256-260.

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计算机工程与应用
2005年 第30期

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