模糊拟一致空间完备性之间的关系  

Relationships between Completeness of Fuzzy Quasi-uniform Spaces

作　　者：袁晨 岳跃利[1] YUAN Chen;YUE Yue-li(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《模糊系统与数学》2018年第6期7-11,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11471297);山东省自然科学基金资助项目(ZR2017MA017)

摘　　要：本文基于1-滤子定义了概率拟一致空间的一种柯西1-完备性,研究概率拟一致结构与Hutton[0,1]-拟一致结构两者完备性之间的关系。在模糊拟度量空间里,我们建立了诱导的概率拟一致空间和诱导的Hutton[0,1]-拟一致空间两者完备性之间的关系。In this paper,we give a kind of Cauchy 1-completeness in probabilistic quasi-uniform spaces by using 1-filters.Further,we show the relationships between the completeness of probabilistic quasi-uniform spaces and the completeness of Hutton [0,1]-quasi-uniform spaces.In fuzzy quasi-metric spaces,we establish the relationships between the completeness of induced probabilistic quasi-uniform spaces and induced Hutton [0,1]-quasi-uniform spaces.

关 键 词：概率拟一致结构 Hutton [0 1]-拟一致结构 1-滤子 柯西1-完备性 

分 类 号：O159[理学—数学]