） 摘要： 在模糊值函数的模糊结构元表述理论的基础上
利用[-1,1]上同序标准单调函数类上的距离诱导出模糊值函数空间上的距离, 证明了模糊实数空间与[-1,1]上同序单调函数类同胚
模糊数空间和模糊值函数空间上的与距离相关的所有性质都可以在一类单调函数类上得到
给出了模糊值函数极限与连续的定义
） Abstract： According to the structured element representation theorem of fuzzy number and fuzzy-valued function, we obtained one-to-one isometric mapping from the family of standard bounded monotone function with same monotonic formal on [-1, 1] to the fuzzy number space, and proved they are homeomorphic
It shows that all properties of fuzzy number and fuzzy-valued function which relating to distance can be obtained by this family of standard bounded monotone function
apply results obtained in paper [3], we given the defines of limit and continuity of fuzzy-valued function, and shown some it’s important properties
Keywords： fuzzy structured element, fuzzy-valued function, limit, continuity 下载PDF阅读器 PDF全文下载： 初稿 （ 313 ） 作者简介： 通信联系人： 【收录情况】 中国科技论文在线： 郭嗣琮
模糊值函数极限与连续的模糊结构元表述[EB/OL]
