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A new definition of fuzzy k-pseudo metric and its induced fuzzifying structures | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 18، شماره 6، بهمن و اسفند 2021، صفحه 55-66 اصل مقاله (355.59 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6333 | ||
| نویسندگان | ||
| Y. Zhong* 1؛ A. Sostak2 | ||
| 1College of Science, North China University of Technology, Beijing 100144, P.R. China | ||
| 2Department of Mathematics, University of Latvia, Riga LV-1084, and Institute of Mathematics and Computer Science, University of Latvia, Riga LV-1459, Latvia | ||
| چکیده | ||
| In this paper, a new definition of a fuzzy $k$-pseudo metric is introduced and its induced fuzzifying structures are constructed, such as a fuzzifying neighborhood system, a fuzzifying topology, a fuzzifying closure operator, a fuzzifying uniformity. Besides, it is shown that there is a one-to-one correspondence between fuzzy $k$-pseudo metrics and nests of crisp $k$-pseudo metrics. | ||
| کلیدواژه‌ها | ||
| Nest of k-pseudo metric؛ fuzzy k-pseudo metric؛ fuzzifying topology؛ fuzzifying uniformity | ||
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آمار تعداد مشاهده مقاله: 459 تعداد دریافت فایل اصل مقاله: 454 |
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