(2204-7327) Type-2 lattice-valued preorders: A common framework of lattice-valued preorders and various kind of metrics

	(2204-7327) Type-2 lattice-valued preorders: A common framework of lattice-valued preorders and various kind of metrics
Iranian Journal of Fuzzy Systems
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 اسفند 1401 اصل مقاله (193.6 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7459
نویسندگان
W. Yao^* ؛ G. X. Zhang؛ Y. Shi
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, China
چکیده
The aim of this paper is to introduce a concept of type-2 L-preorders for L being a complete residuated lattice. It can be considered as a common framework of L-preorders and hemimetrics, and also contains various kinds of fuzzy metrics, including Morsi fuzzy metrics, KM-fuzzy metrics and modular metrics, as natural examples. It is shown that the category of L-preorder sets can be reflectively and coreflectively embedded in that of type-2 L-preorder sets. A type-2 L-preorder can be supplied as different models for further study.
کلیدواژه‌ها
Fuzzy relation؛ $L$-preorder؛ type-2 $L$-preorder؛ Morsi fuzzy metric؛ GV-fuzzy metric؛ modular metric؛ metric-type topology

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