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Further results on $L$-ordered fuzzifying convergence spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 13، شماره 1، اردیبهشت 2016، صفحه 77-92 اصل مقاله (418.33 K) | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2289 | ||
| نویسندگان | ||
Bin Pang؛ Yi Zhao 
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| Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China | ||
| چکیده | ||
| In this paper, it is shown that the category of $L$-ordered fuzzifying convergence spaces contains the category of pretopological $L$-ordered fuzzifying convergence spaces as a bireflective subcategory and the latter contains the category of topological $L$-ordered fuzzifying convergence spaces as a bireflective subcategory. Also, it is proved that the category of $L$-ordered fuzzifying convergence spaces can be embedded in the category of stratified $L$-ordered convergence spaces as a coreflective subcategory. | ||
| کلیدواژه‌ها | ||
| $L$-ordered fuzzifying convergence space؛ Stratified $L$-ordered convergence space؛ $L$-filter؛ Category theory | ||
| مراجع | ||
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