| 近似空间的精细与粗糙以及最佳上下近似的性质 |
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| 引用本文： | 夏佳荣. 近似空间的精细与粗糙以及最佳上下近似的性质[J]. 杭州师范学院学报(自然科学版), 2005, 4(5): 334-335 |
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| 作者姓名： | 夏佳荣 |
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| 作者单位： | 杭州师范学院数学系 浙江杭州310036 |
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| 摘 要： | 定义近似空间的精细与粗糙的概念并给出了两个等价描述,讨论给定集合的上下近似集在精细与粗糙近似空间中的性质,即随着近似空间的加细,给定集合X的最佳下近似单调上升,最佳上近似单调下降.
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| 关 键 词： | 粗糙集 近似空间的精细与粗糙 上下近似 |
| 文章编号： | 1008-9403(2005)05-0334-02 |
| 修稿时间： | 2005-06-30 |
The fineness and coarseness of approximation space |
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| XIA Jia-rong. The fineness and coarseness of approximation space[J]. Journal of Hangzhou Teachers College(Natural Science), 2005, 4(5): 334-335 |
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| Authors: | XIA Jia-rong |
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| Abstract: | In this paper we gave the definition of the fineness and coarseness of approximation space,and discussed some behaviors of the best upper(bottom)-approximation of sets.That is the best upper approximation of a given set were monotone decreasing and the best bottom approximation of a given set were monotone increasing with the fining of the approximation space. |
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| Keywords: | rough set fineness and coarseness of approximation space the best upper(bottom)-approximation |
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