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Relationships between completeness of fuzzy quasi-uniform spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 16، شماره 2، خرداد و تیر 2019، صفحه 97-106 اصل مقاله (202.65 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2019.4545 | ||
| نویسندگان | ||
Chen Yuan  1؛ Yueli Yue2
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| 1Department of Mathematics, Ocean University of China, 238 Songling Road, Qingdao, P.R.China. | ||
| 2Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R.China | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| probabilistic quasi-uniformity؛ classical quasi-uniformity؛ Hutton [0, 1]-quasi-uniformity؛ 1-filter؛ Cauchy 1-completeness | ||
| مراجع | ||
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