Approximation operators based on set-valued mappings in semi-partition approximation space

Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (28): 7-9.

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Approximation operators based on set-valued mappings in semi-partition approximation space

WU Zheng-jiang¹,WANG Cui-hong²,SUN Shi-bao¹

1.Intelligent Control Development Center,Southwest Jiaotong University,Chengdu 610031,China
2.School of Electrical Engineering,Southwest Jiaotong University,Chengdu 610031,China

Received:1900-01-01 Revised:1900-01-01 Online:2007-10-01 Published:2007-10-01
Contact: WU Zheng-jiang

基于集值映射的拟划分近似空间中近似算子

吴正江¹,王翠红²,孙仕保¹

1.西南交通大学智能控制开发中心,成都 610031
2.西南交通大学电气学院,成都 610031

通讯作者: 吴正江

Abstract

Abstract: In the incomplete information systems with unknown data or partly-known data.The objects can’t be precisely and complete classified.The neighborhood system can’t cover the universe.It is a incomplete partition of the universe.From the definition of them,the incomplete partition and the covering are the semi-partition of universe.As the generalization of the rough set based on covering,in this paper,the properties and the representation theorem of the rough sets based on the semi-partition are discussed.

Key words: rough set, neighborhood system, semi-partition, set-valued mapping

摘要： 在含有缺省值的不完备性信息系统中,一部分对象无法确定的归入特定的类中,此时论域的邻域系统对于论域无法形成覆盖,只能形成论域的不完全划分。从概念上讲,对论域的不完全划分与对论域的覆盖都是对论域的拟划分的两个特例。作为基于覆盖的粗糙集模型的一种推广,将讨论基于拟划分的粗糙集模型中上下近似算子的若干性质,并且讨论了这个模型下近似算子的表示问题。

关键词: 粗糙集, 邻域系统, 拟划分, 集值映射

WU Zheng-jiang¹,WANG Cui-hong²,SUN Shi-bao¹. Approximation operators based on set-valued mappings in semi-partition approximation space [J]. Computer Engineering and Applications, 2007, 43(28): 7-9.

吴正江¹,王翠红²,孙仕保¹. 基于集值映射的拟划分近似空间中近似算子[J]. 计算机工程与应用, 2007, 43(28): 7-9.

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Approximation operators based on set-valued mappings in semi-partition approximation space

基于集值映射的拟划分近似空间中近似算子

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