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Some results on the topology of fuzzy metric type spaces | ||
| Journal of Hyperstructures | ||
| دوره 6، شماره 2، اسفند 2017، صفحه 128-135 اصل مقاله (285.64 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2017.2667 | ||
| نویسندگان | ||
| Tarkan Oner* 1؛ O˘guzhan De˘girmenci2 | ||
| 1Mathematics Department, Mugla Stk Kocman University, 48000, Mugla, Turkey | ||
| 2Department of Mathematics, Graduate School of Natural and Applied Sciences, Mu˘gla Sıtkı Ko¸cman University, P.O.Box 48000, Mu˘gla, Turkey | ||
| چکیده | ||
| In this study, we investigate the concept of fuzzy metric type spaces. We show that s < Kt implies M(x, y, s) ≤ M(x, y, t). After emphasizing the fact that M(x, y, ) may not be nondecreasing for a fuzzy metric type space, we prove that intersection of two open sets is open. We give examples to show that open balls are not necessarily open and closed balls are not necessarily closed. Moreover, we show that these spaces are sequential, Fr´echet and weakly first countable. | ||
| کلیدواژه‌ها | ||
| Fuzzy metric type spaces؛ sequential؛ Fr´echet؛ weakly first countable | ||
| مراجع | ||
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