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Completeness of Hutton $[0,1]$-quasi-uniformities induced by a crisp uniformity | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 12، دوره 16، شماره 6، بهمن و اسفند 2019، صفحه 143-158 اصل مقاله (281.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2019.5025 | ||
| نویسندگان | ||
| J. Rodrguez-Lopez* 1؛ S. Romaguera1؛ M. Sanchis2 | ||
| 1Instituto Universitario de Matematica Pura y Aplicada, Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain | ||
| 2IInstitut Universitari de Matematiques i Aplicacions de Castello (IMAC), Universitat Jaume I, Campus del Riu Sec. s/n, 12071 Castello, Spain | ||
| چکیده | ||
| In \cite{Kats84}, Katsaras introduced a method for constructing a Hu\-tton $[0,1]$-quasi-uniformity from a crisp uniformity. In this paper we present other different methods for making this based mainly in the concept of a fuzzy uniform structure. Furthermore, we prove that some of these methods preserve the completeness property of the quasi-uniformity. Moreover, we also show that Katsaras' construction allows to develop a theory of completion of a Hu\-tton [0,1]-quasi-uniform space obtained from a uniform space. | ||
| کلیدواژه‌ها | ||
| Uniformity؛ fuzzy uniform structure؛ Hutton $[0؛ 1]$-quasi-uniformity؛ completeness | ||
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آمار تعداد مشاهده مقاله: 356 تعداد دریافت فایل اصل مقاله: 169 |
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