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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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آمار تعداد مشاهده مقاله: 149 تعداد دریافت فایل اصل مقاله: 226 |
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