Relationships between completeness of fuzzy quasi-uniform spaces
نویسندگان
1 Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R.China
2 Department of Mathematics, Ocean University of China, 238 Songling Road, Qingdao, P.R.China.
doi
10.22111/ijfs.2019.4545چکیده
In this paper, we give a kind of Cauchy 1-completeness in probabilistic quasi-uniform spaces by using 1-filters. Utilizingthe relationships among probabilistic quasi-uniformities, classical quasi-uniformities and Hutton [0, 1]-quasi-uniformities,we show the relationships between their completeness. In fuzzy quasi-metric spaces, we establish the relationshipsbetween the completeness of induced probabilistic quasi-uniform spaces and both completeness of induced classicalquasi-uniform spaces and induced Hutton [0, 1]-quasi-uniform spaces.
