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Interpolation of the tabular functions with fuzzy input and fuzzy output | ||
Theory of Approximation and Applications | ||
مقاله 2، دوره 10، شماره 1، مرداد 2016، صفحه 13-26 اصل مقاله (302.05 K) | ||
نوع مقاله: Research Articles | ||
نویسنده | ||
Mehran Chehlabi* | ||
Department of Mathematics, Savad Kooh Branch, Islamic Azad University, Yazd, Iran | ||
چکیده | ||
In this paper, rst a design is proposed for representing fuzzy polynomials with input fuzzy and output fuzzy. Then, we sketch a constructive proof for existence of such polynomial which can be fuzzy interpolation polynomial in a set given of discrete points rather than a fuzzy function. Finally, to illustrate some numerical examples are solved. | ||
مراجع | ||
[1] L. A. Zadeh, Fuzzy sets, Inform. Control (8), (1965), 338-353.
[2] R. Lowen, A Fuzzy Lagrange interpolation theorem, Fuzzy Sets Syst. 34 (1990) 33-34. [3] O. Kaleva, Interpolation of fuzzy data, Fuzzy Sets and Syst. 61 (1994) 63-70. [4] S. Abbasbandy, E. Rabolian, Interpolation of fuzzy data by natural splines, J. Appl. Math. Comput. 5 (1998) 457-463. [5] S. Abbasbandy, Interpolation of fuzzy data by complete splines, J. Appl. Math. Comput. 8 (2001) 587-594. [6] S. Abbasbandy, M. Amirfakhrian, Numerical approximation of fuzzy functions by fuzzy polynomials, Applied, Mathematics and Computation, 174 (2006) 1001-1006. [7] S. Abbasbandy, M. Amirfakhrian, A new approach to universal approximation of fuzzy functions on a discrete set of points, Applied Mathematical Modelling 30 (2006) 1525-1534. [8] J. Gati, B. Bede, Spline approximation of fuzzy functions, International Conference on Applied Mathematics, (2005), 194-199. [9] D. Dubois, H. Prade, Fuzzy Sets and Systems: Theory and Application, Academic Press, New York, 1980. | ||
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