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L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 3، دوره 15، شماره 2، خرداد و تیر 2018، صفحه 23-40 اصل مقاله (426.8 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2018.3754 | ||
نویسندگان | ||
Chong Shen؛ Fu-Gui Shi ![]() | ||
School of Mathematics and statistics, Beijing Institute of Technology, Beijing 100081, P.R. China | ||
چکیده | ||
The concepts of $L$-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism between $L$-convex systems and Scott-hull spaces. Moreover, it is proved that the category of $L$-convex structures is bireflective in the category of $L$-convex systems. Furthermore, the quotient systems of $L$-convex systems are studied. | ||
کلیدواژهها | ||
$L$-convex system؛ Scott-hull space؛ Induced $L$-convex structure؛ Quotient system | ||
مراجع | ||
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