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Categories of lattice-valued closure (interior) operators and Alexandroff L-fuzzy topologies | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 7، دوره 16، شماره 3، مرداد و شهریور 2019، صفحه 73-84 اصل مقاله (216.91 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2019.4646 | ||
نویسندگان | ||
A. A. Ramadan* 1؛ L. Li2 | ||
1Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt | ||
2Department of Mathematics, Liaocheng University, Liaocheng, 252059 P.R. China and College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, P.R.China. | ||
چکیده | ||
Galois connection in category theory play an important role in establish the relationships between different spatial structures. In this paper, we prove that there exist many interesting Galois connections between the category of Alexandroff $L$-fuzzy topological spaces, the category of reflexive $L$-fuzzy approximation spaces and the category of Alexandroff $L$-fuzzy interior (closure) spaces. This indicates that there is a close connection between the three structures. | ||
کلیدواژهها | ||
Complete residuated lattice؛ Alexandroff $L$-fuzzy topological space؛ $L$-fuzzy approximation space؛ Galois correspondence | ||
مراجع | ||
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