پیوندهای مفید
آمار
| تعداد نشریات | 31 |
| تعداد شماره‌ها | 748 |
| تعداد مقالات | 7,112 |
| تعداد مشاهده مقاله | 10,247,641 |
| تعداد دریافت فایل اصل مقاله | 6,900,759 |
Alternative views on fuzzy numbers and their application to fuzzy differential equations | ||
| Journal of Mathematical Modeling | ||
| مقاله 3، دوره 12، شماره 4، اسفند 2024، صفحه 623-654 اصل مقاله (895.87 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.26277.2325 | ||
| نویسندگان | ||
| Akbar H. Borzabadi* 1؛ Mohammad Heidari2؛ Delfim F. M. Torres3 | ||
| 1Department of Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran | ||
| 2Young Researchers and Elite Club, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran | ||
| 3Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal | ||
| چکیده | ||
| We consider fuzzy valued functions from two parametric representations of $\alpha$-level sets. New concepts are introduced and compared with available notions. Following the two proposed approaches, we study fuzzy differential equations. Their relation with Zadeh's extension principle and the generalized Hukuhara derivative is discussed. Moreover, we prove existence and uniqueness theorems for fuzzy differential equations. Illustrative examples are given. | ||
| کلیدواژه‌ها | ||
| Parametric representation of fuzzy numbers؛ fuzzy valued functions؛ fuzzy differential equations | ||
|
آمار تعداد مشاهده مقاله: 111 تعداد دریافت فایل اصل مقاله: 72 |
||