| 近似空间的乘积空间和子空间及映射 |
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| 引用本文： | 夏佳荣. 近似空间的乘积空间和子空间及映射[J]. 杭州师范学院学报(自然科学版), 2007, 6(2): 86-88 |
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| 作者姓名： | 夏佳荣 |
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| 作者单位： | 杭州师范大学,数学系,浙江,杭州,310036 |
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| 摘 要： | 以往粗集理论的研究或应用均局限于单个近似空间.客观世界中的事物是彼此关联的,粗集作为近似描述模糊概念的数学工具局限于单个近似空间显然是不够的,粗集理论应该有更广阔的领域.在此尝试讨论近似空间之间的关系,提出乘积空间和子空间的概念,利用映射建立近似空间之间的联系,提出近似空间同构的概念.
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| 关 键 词： | 近似空间的积空间 近似空间的子空间 近似空间的同构映射 协调映射 逆协调映射 |
| 文章编号： | 1008-9403(2007)02-0086-03 |
| 修稿时间： | 2007-01-18 |
Product Space and Subspace and Map of Approximate Space |
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| XIA Jia-rong. Product Space and Subspace and Map of Approximate Space[J]. Journal of Hangzhou Teachers College(Natural Science), 2007, 6(2): 86-88 |
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| Authors: | XIA Jia-rong |
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| Abstract: | The research on rough sets was localized in one approximation space.The things in objective world relate with each other.It is not sufficient that rough sets which are mathematical tools to approximately describe the vague concepts are located in one space.The rough sets theory should be extended to a wide domain.This paper tries to discuss the relations between the approximation spaces,introduce the concept of product space and subspace of approximation space,the concept of map between approximation space and the concept of isomorphism of tow approximation spaces. |
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| Keywords: | product space of approximation space subspace of approximation space isomorphic map harmony map converse harmony map |
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