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THE RELATIONSHIP BETWEEN L-FUZZY PROXIMITIES AND L-FUZZY QUASI-UNIFORMITIES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 9، شماره 6، اسفند 2012، صفحه 101-111 اصل مقاله (422.98 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2012.120 | ||
| نویسندگان | ||
| Eun-Seok Kim1؛ Seung-Ho Ahn2؛ Dae Heui Park2 | ||
| 1Department of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, Gwangju, Korea | ||
| 2Department of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, GwangJu, Korea | ||
| چکیده | ||
| In this paper, we investigate the L-fuzzy proximities and the relationships betweenL-fuzzy topologies, L-fuzzy topogenous order and L-fuzzy uniformity. First, we show that the category of-fuzzy topological spaces can be embedded in the category of L-fuzzy quasi-proximity spaces as a coreective full subcategory. Second, we show that the category of L -fuzzy proximity spaces is isomorphic to the category of L-fuzzy topogenous order spaces. Finally,we obtain that the category of L-fuzzy proximity spaces can be embeddedin the category of L-fuzzy uniform spaces as a bireective full subcategory. | ||
| کلیدواژهها | ||
| L-Fuzzy topology؛ L-fuzzy proximity؛ L-fuzzy uniformity؛ L-fuzzy topogenous order؛ Fuzzy remote neighborhood systems | ||
| مراجع | ||
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