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- Title
Relationships between completeness of fuzzy quasi-uniform spaces.
- Authors
Yuan, C.; Yue, Y.
- Abstract
In this paper, we give a kind of Cauchy 1-completeness in probabilistic quasi-uniform spaces by using 1-filters. Utilizing the 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 relationships between the completeness of induced probabilistic quasi-uniform spaces and both completeness of induced classical quasi-uniform spaces and induced Hutton [0, 1]-quasi-uniform spaces.
- Subjects
QUASI-metric spaces; FUZZY arithmetic; METRIC spaces; SPACE
- Publication
Iranian Journal of Fuzzy Systems, 2019, Vol 16, Issue 2, p97
- ISSN
1735-0654
- Publication type
Article