| تعداد نشریات | 31 |
| تعداد شمارهها | 834 |
| تعداد مقالات | 8,021 |
| تعداد مشاهده مقاله | 14,858,096 |
| تعداد دریافت فایل اصل مقاله | 9,600,188 |
Piecewise cubic interpolation of fuzzy data based on B-spline basis functions | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 13، شماره 1، اردیبهشت 2016، صفحه 67-76 اصل مقاله (389.14 K) | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2287 | ||
| نویسندگان | ||
| Masoumeh Zeinali؛ Sedaghat Shahmorad* ؛ Kamal Mirnia | ||
| Faculty of mathematical sciences, University of Tabriz, Tabriz, Iran | ||
| چکیده | ||
| In this paper fuzzy piecewise cubic interpolation is constructed for fuzzy data based on B-spline basis functions. We add two new additional conditions which guarantee uniqueness of fuzzy B-spline interpolation. Other conditions are imposed on the interpolation data to guarantee that the interpolation function to be a well-defined fuzzy function. Finally some examples are given to illustrate the proposed method. | ||
| کلیدواژهها | ||
| Fuzzy number؛ Fuzzy interpolation؛ B-spline basis functions | ||
| مراجع | ||
|
[1] A. M. Anile, B. Falcidieno, G. Gallo, M. Spagnuolo and S. Spinello, Modeling uncertain data with fuzzy B-spline, Fuzzy Sets and Systems, 113 (2000), 397-410. [2] B. Bede and S. G. Gal, Generalizations of the dierentiability of fuzzy-number-valued func- tions with applications to fuzzy dierential equations, Fuzzy Sets and Systems, 151 (2005), 581-599. [3] P. Blaga and B. Bede, Approximation by fuzzy B-spline series, J. Appl. Math. & Computing, 20 (2006), 157169. [4] R. Goetschel and W. Voxman, Elementary fuzzy calculus, Fuzzy Sets and Systems, 18 (1986), 31-43. [5] O. Kaleva, Interpolation of fuzzy data, Fuzzy Sets and Systems, 61 (1994), 63-70. [6] W. A. Lodwick and J. Santos, Constructing consistenct fuzzy surfaces from fuzzy data, Fuzzy Sets and Systems, 135 (2003), 259-277. [7] R. Lowen, A fuzzy Lagrange interpolation theorem, Fuzzy Sets and Systems, 34 (1990), 33-38. [8] P. M. Prenter, Spline and variational methods, A Wiley-Interscience publication, 1975. [9] C. Wu and Z. Gong, On Henstock integral of fuzzy-number-valued functions I, Fuzzy Sets and Systems, 120 (2001), 523-532. [10] M. Zeinali, S. Shahmorad and K. Mirnia, Hermite and piecewise cubic Hermite interpolation of fuzzy data, Journal of Intelligent & Fuzzy Systems, 26 (2014), 2889-2898. | ||
|
آمار تعداد مشاهده مقاله: 1,975 تعداد دریافت فایل اصل مقاله: 1,619 |
||