期刊
FUZZY SETS AND SYSTEMS
卷 161, 期 7, 页码 1011-1021出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2009.09.021
关键词
Fuzzy uniform structure; Fuzzy uniform space; Fuzzy pseudometric; Hutton [0,1]-uniformity; Topological category; Covariant functor; Completeness; Completion
资金
- Plan Nacional I + D + I
- FEDER [MTM2006-14925-C02-01, MTM2006-14925-C02-02]
We introduce and discuss a notion of fuzzy uniform structure that provides I direct link with the classical theory of uniform spaces More exactly, for each continuous l-norm we prove that the category of all fuzzy uniform spaces in our sense (and fuzzy uniformly Continuous mappings) is isomorphic to the category of uniform spaces (and uniformly continuous mappings) by means of a covariant functor Moreover. we also describe the inverse functor and. then. we discuss completeness and completion of these fuzzy uniform structures It follows from our results that each fuzzy uniform structure in our sense induces a Hutton [0,1]-uniformity and, conversely, each Hutton [0.1]-uniformity induces a fuzzy uniform structure in our sense (C) 2009 Elsevier B.V. All rights reserved
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据