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On the solution of fuzzy Sylvester matrix equations without using Kronecker product and Vec-operation | ||
| Caspian Journal of Mathematical Sciences | ||
| دوره 15، شماره 2 - شماره پیاپی 30، اسفند 2026، صفحه 345-373 اصل مقاله (245.45 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.30934.1798 | ||
| نویسنده | ||
| Mojtaba Ghanbari* | ||
| Azad University of Aliabad, Aliabad, Iran | ||
| تاریخ دریافت: 06 دی 1404، تاریخ بازنگری: 28 اسفند 1404، تاریخ پذیرش: 09 فروردین 1405 | ||
| چکیده | ||
| It is known that using Kronecker product and Vec-operation for solving matrix equations under fuzzy uncertainty, make the dimension of the crisp transformed systems much higher than the dimension of the initial fuzzy matrix equation. In this paper, a new iterative approach is proposed for solving Sylvester type of fuzzy matrix equations without using Kronecker product and Vec-operation. Based on the proposed method, a fuzzy Sylvester matrix equation is transformed to two corresponding crisp equations and then homotopy analysis method (HAM) is applied for obtaining a fuzzy approximate solution of the original equation. The convergence of the proposed method is showed by presenting two conditions. Finally, to show the ability and efficiency of the proposed method three numerical examples are given. | ||
| کلیدواژه‌ها | ||
| Fuzzy number؛ Kronecker product؛ Vec-operation؛ Fuzzy Sylvester matrix equation؛ Homotopy analysis method | ||
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آمار تعداد مشاهده مقاله: 66 تعداد دریافت فایل اصل مقاله: 23 |
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