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Wang, C. Y., Wan, L., Zhang, B.. (1400). Topological structures induced by L-fuzzifying approximation operators. نشریه علمی دانشگاه سیستان و بلوچستان, 18(5), 141-154. doi: 10.22111/ijfs.2021.6261
C. Y. Wang; L. Wan; B. Zhang. "Topological structures induced by L-fuzzifying approximation operators". نشریه علمی دانشگاه سیستان و بلوچستان, 18, 5, 1400, 141-154. doi: 10.22111/ijfs.2021.6261
Wang, C. Y., Wan, L., Zhang, B.. (1400). 'Topological structures induced by L-fuzzifying approximation operators', نشریه علمی دانشگاه سیستان و بلوچستان, 18(5), pp. 141-154. doi: 10.22111/ijfs.2021.6261
Wang, C. Y., Wan, L., Zhang, B.. Topological structures induced by L-fuzzifying approximation operators. نشریه علمی دانشگاه سیستان و بلوچستان, 1400; 18(5): 141-154. doi: 10.22111/ijfs.2021.6261

Topological structures induced by L-fuzzifying approximation operators

Iranian Journal of Fuzzy Systems
دوره 18، شماره 5، آذر و دی 2021، صفحه 141-154    اصل مقاله (208.23 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6261
نویسندگان
C. Y. Wang* 1؛ L. Wan2؛ B. Zhang3
1School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, PR China
2School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, PR China
3Foundational Courses Department, Wuhan Donghu University, Wuhan 430212, PR China
چکیده
This paper further studies topological structures induced by L-fuzzifying approximation operators, where L denotes a completely distributive De Morgan algebra. Firstly, the Alexandrov topologies induced by L-fuzzy relations are investigated with respect to L-fuzzifying approximation operators. Especially, the relationships among those Alexandrov topologies are discussed. Secondly, pseudo-similarity sets of L-fuzzy relations are proposed based on the Alexandrov topologies induced by upper and lower L-fuzzifying approximation operators. Meanwhile, the properties of pseudo-similarity sets are discussed, where some examples are presented to show the differences between similarity set of fuzzy relations and pseudo-similarity set of L-fuzzy relations.
کلیدواژه‌ها
L-fuzzy relation؛ topology؛ L-fuzzifying approximation operator؛ pseudo-similarity set
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