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Categories isomorphic to the category of $L$-fuzzy closure system spaces | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 9، دوره 10، شماره 5، دی 2013، صفحه 127-146 اصل مقاله (450.79 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2013.1213 | ||
نویسندگان | ||
Fu-Gui Shi ![]() ![]() | ||
School of Mathematics, Beijing Institute of Technology, 5 South Zhong- guancun Street, Haidian District, 100081 Beijing, P.R. China | ||
چکیده | ||
In this paper, new definitions of $L$-fuzzy closure operator, $L$-fuzzy interior operator, $L$-fuzzy remote neighborhood system, $L$-fuzzy neighborhood system and $L$-fuzzy quasi-coincident neighborhood system are proposed. It is proved that the category of $L$-fuzzy closure spaces, the category of $L$-fuzzy interior spaces, the category of $L$-fuzzy remote neighborhood spaces, the category of $L$-fuzzy quasi-coincident neighborhood spaces, the category of $L$-fuzzy neighborhood spaces are all isomorphic to the category $L$-{\bf FCS} of $L$-fuzzy closure system spaces. | ||
کلیدواژهها | ||
$L$-fuzzy closure system؛ $L$-fuzzy closure operator؛ $L$-fuzzy interior operator؛ $L$-fuzzy remote neighborhood؛ $L$-fuzzy quasi-coincident neighborhood؛ $L$-fuzzy neighborhood؛ Isomorphism of categories | ||
مراجع | ||
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