区间值模糊度量空间的相关结果

吉林大学学报(理学版)

区间值模糊度量空间的相关结果

陆汉川, 李生刚

陕西师范大学数学与信息科学学院, 西安 710062

收稿日期:2013-04-25 出版日期:2014-03-26 发布日期:2014-03-20
通讯作者: 李生刚 E-mail:shenggangli@163.com

Related Results on IntervalValued Fuzzy Metric Spaces

LU Hanchuan, LI Shenggang

College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

Received:2013-04-25 Online:2014-03-26 Published:2014-03-20
Contact: LI Shenggang E-mail:shenggangli@163.com

摘要/Abstract

摘要：

通过构造一个不能完备化的区间值模糊度量空间, 证明了区间值模糊度量空间的一致连续扩张定理及每个标准的区间值模糊度量空间有唯一的完备化, 得到了两个区间值模糊度量空间一致同构的等价条件.

关键词: 区间值模糊度量空间, 完备化, 等距同构, 一致同构

Abstract:

Based on a constructed intervalvalue fuzzy metric space which has no completion, a uniformly continuous extension theorem and a complete theorem in intervalvalue fuzzy metric spaces were proved, and equivalent conditions for two interval valued fuzzy metric spaces to be of uniform isomorphism were obtained.

Key words: intervalvalued fuzzy metric space, completion, isometry, uniform isomorphism

中图分类号:

O189.13

陆汉川, 李生刚. 区间值模糊度量空间的相关结果[J]. 吉林大学学报(理学版), 2014, 52(02): 224-230.

LU Hanchuan, LI Shenggang. Related Results on IntervalValued Fuzzy Metric Spaces[J]. Journal of Jilin University Science Edition, 2014, 52(02): 224-230.