模糊等价关系下的收敛 |
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引用本文: | 郑顶伟. 模糊等价关系下的收敛[J]. 琼州学院学报, 2014, 0(2): 19-21 |
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作者姓名: | 郑顶伟 |
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作者单位: | [1]华南理工大学数学系,广州510640 [2]广西大学数学与信息科学学院,南宁530004 |
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基金项目: | 基金项目:广西自然科学基金资助项目(2013GxNsFBA019016);广西大学科研资助项目(XJZ130362) |
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摘 要: | 研究了模糊等价关系,证明了一个模糊等价关系生成一个拓扑族,并定义了关于该拓扑族的收敛性;最后证明了两个cauchy序列的模糊关系值收敛于闭区间[0,1]中的某个点.
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关 键 词: | 模糊数学 等价关系 cauchy序列 收敛 |
Convergence under Fuzzy Equivalence Relation |
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Affiliation: | ZHENG Ding - wei ( 1. Department of mathematics, South China University of Technology, Guangzhou 510640, China ; 2. College of Mathematics and Imformation Sciences, Guangxi University, Nanning 530004, China) |
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Abstract: | The fuzzy equivalence relation is analyzed to generate a topology family to define the convergence. In the end, the fuzzy values of two Cauchy sequences converging to a point of [ 0, 1 ] are proved. |
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Keywords: | Fuzzy mathematics Equivalence relation Cauchy sequence Convergence |
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