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Fuzzy convergence structures in the framework of L-convex spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 17، شماره 4، مهر و آبان 2020، صفحه 139-150 اصل مقاله (411.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5411 | ||
| نویسندگان | ||
| Z. Y. Xiu* 1؛ Q. H. Li2؛ B. Pang3 | ||
| 1College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China | ||
| 2School of Mathematics and Information Sciences, Yantai University, Yantai, China | ||
| 3School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China | ||
| چکیده | ||
| In this paper, fuzzy convergence theory in the framework of $L$-convex spaces is introduced. Firstly, the concept of $L$-convex remote-neighborhood spaces is introduced and it is shown that the resulting category is isomorphic to that of $L$-convex spaces. Secondly, by means of $L$-convex ideals, the notion of $L$-convergence spaces is introduced and it is proved that the category of $L$-convex spaces can be embedded in that of $L$-convergence spaces as a reflective subcategory. Finally, the concepts of convex and preconvex $L$-convergence spaces are introduced and it is shown that the resulting categories are isomorphic to the categories of $L$-convex spaces and $L$-preconvex remote-neighborhood spaces, respectively. | ||
| کلیدواژه‌ها | ||
| Fuzzy convergence structures؛ fuzzy convex structures؛ fuzzy remote-neighborhood systems؛ $L$-convex ideals | ||
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آمار تعداد مشاهده مقاله: 178 تعداد دریافت فایل اصل مقاله: 168 |
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