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Fuzzy near best approximation as a generalization of fuzzy best approximation | ||
| Journal of Mahani Mathematical Research | ||
| دوره 14، شماره 2 - شماره پیاپی 32، مرداد 2025، صفحه 21-37 اصل مقاله (501.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.23101.1594 | ||
| نویسندگان | ||
| Ali Reza Khoddami* ؛ Rasoul Tourani | ||
| Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran | ||
| چکیده | ||
| Given a fuzzy normed space, we will introduce the notion of fuzzy near best approximation as a generalization of the notion of fuzzy best approximation. Some basic properties are characterized and also many examples for illustration are presented. Also, the hereditary properties of the fuzzy near best approximation on direct sum and tensor product of linear spaces are discussed. | ||
| کلیدواژه‌ها | ||
| Fuzzy near best approximation؛ Direct sum؛ Tensor product؛ Fuzzy norm | ||
| مراجع | ||
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