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群中上近似集性质的一种新的简洁证法
引用本文:张金玲. 群中上近似集性质的一种新的简洁证法[J]. 河西学院学报, 2008, 24(5)
作者姓名:张金玲
作者单位:襄樊学院数学系,湖北,襄樊,441053
摘    要:Nobuaki Kuroki在文[3]中研究了群中粗糙集的上下近似集的性质.但是他的很多结果的证明依赖于上下近似集的定义,从这个角度去证明是很繁琐的,并且很多结果是可以进一步推广得更深刻一些的.文章给出了群中上近似集性质的一种简洁证法,并且推广了上近似集的一些性质.

关 键 词:上近似集  粗糙集  同态

A New Brief Proof of the Properties of the Upper Approximation in a Group
Zhang Jin-ling. A New Brief Proof of the Properties of the Upper Approximation in a Group[J]. Journal of Hexi University, 2008, 24(5)
Authors:Zhang Jin-ling
Affiliation:Zhang Jin-ling (Department of Mathematics,Xiangfan College,Xiangfan Hubei,441053)
Abstract:The Lower and upper approximations in a group was studied by Nobuaki Kuroki.But his proofs of some results depends on the definition of the lower and upper approximation which is not brief. And some results can been extended .This paper gives a more brief proof of the properties of the upper approximation .extends the properties of the upper approximation.
Keywords:Upper approximation  Rough set  Homomorphism  
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