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Fuzzy betweenness spaces on continuous lattices | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 4، دوره 19، شماره 3، مرداد و شهریور 2022، صفحه 39-52 اصل مقاله (206.32 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6942 | ||
نویسندگان | ||
S. Y. Zhang؛ F. G. Shi* | ||
Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China | ||
چکیده | ||
The notion of betweenness spaces is very important in convex structure theory. In this paper, it is generalized to continuous lattices. Then its some characterizations and properties are investigated. Finally the categorical relationship between fuzzy generalized convex spaces and fuzzy betweenness spaces is discussed by using a special antitone Galois connection. | ||
کلیدواژهها | ||
Fuzzy convex space؛ fuzzy betweenness space؛ generalized convex space؛ Galois connection؛ continuous lattice | ||
آمار تعداد مشاهده مقاله: 369 تعداد دریافت فایل اصل مقاله: 403 |