| 多值近似空间的上、下近似诱导的拓扑结构 |
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| 引用本文： | 李令强,金秋,孙守斌,孟广武.多值近似空间的上、下近似诱导的拓扑结构[J].系统科学与数学,2012,32(2):226-236. |
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| 作者姓名： | 李令强 金秋 孙守斌 孟广武 |
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| 作者单位： | 1. 湖南大学数学与计量经济学院,长沙410082;聊城大学数学院,聊城252059
2. 聊城大学数学院,聊城,252059 |
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| 基金项目： | 国家自然科学基金，聊城大学科研基金(X10013)资助课题 |
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| 摘 要： | 引入了论域U上的自反模糊关系R的传递化表示Rs的概念,利用Rs给出了R和Rs诱导的模糊拓扑的一组共同的基,从而证明了二者诱导的拓扑是相同的,研究了诱导拓扑的度量化问题及其可数性.
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| 关 键 词： | 模糊近似空间 模糊拓扑 自反模糊关系 传递化表示 |
THE TOPOLOGICAL STRUCTURES INDUCED BY UPPER AND LOWER APPROXIMATIONS OF MANY VALUED APPROXIMATION SPACES |
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| LI Lingqiang
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JIN Qiu
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SUN Shoubin
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MENG Guangwu.THE TOPOLOGICAL STRUCTURES INDUCED BY UPPER AND LOWER APPROXIMATIONS OF MANY VALUED APPROXIMATION SPACES[J].Journal of Systems Science and Mathematical Sciences,2012,32(2):226-236. |
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| Authors: | LI Lingqiang JIN Qiu SUN Shoubin MENG Guangwu |
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| Institution: | (Department of Mathematics Science,Liaocheng University,Liaocheng 252059) |
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| Abstract: | In this paper,we introduce the notion of the transitive expression R_s of a reflexive fuzzy relation R on a domain U.It is proved that the fuzzy topological structures induced by R and R_s are the same by using a common base of the two induced topological structures.Moreover,we study the metrization and countability of the induced topology. |
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| Keywords: | Fuzzy approximation spaces fuzzy topologies reflexive fuzzy relation transitive expression |
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