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模糊度量空间的扩张

发表时间:2014-01-15  浏览量:1482  下载量:630
全部作者: 郑顶伟
作者单位: 华南理工大学理学院;广西大学数学与信息科学学院
摘 要: 模糊度量空间是度量空间的推广,由于利用了t-模运算并加入了参数t,使得模糊度量空间的结构比度量空间的结构更复杂。但是,两者又有着密切的联系,从而使得度量空间的许多经典结论可以推广到模糊度量空间中去。研究把度量空间中的扩张定理推广到了模糊度量空间中。
关 键 词: 模糊数学;模糊度量;扩张;拓扑
Title: Extention of fuzzy metric spaces
Author: ZHENG Dingwei
Organization: School of Sciences, South China University of Technology; College of Mathematics and Information Sciences, Guangxi University
Abstract: Fuzzy metric spaces are the generalization of metric spaces. With the help of t-norm and a parameter t, it makes the structures of fuzzy metric spaces be more complicated than those of metric spaces. Meanwhile, both of them have a closed relationship, which allows to restate some classical theorems on metric spaces into the realm of fuzzy metric spaces. In this paper, the extention theorem of metric spaces is generalized to fuzzy metric spaces.
Key words: fuzzy mathematics; fuzzy metric; extention; topology
发表期数: 2014年1月第1期
引用格式: 郑顶伟. 模糊度量空间的扩张[J]. 中国科技论文在线精品论文,2014,7(1):16-20.
 
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