Interpolation of the tabular functions with fuzzy input and fuzzy output
الموضوعات :
Mehran Chehlabi
1
(Department of Mathematics, Savad Kooh Branch, Islamic Azad University, Yazd, Iran)
الکلمات المفتاحية: fuzzy numbers, Fuzzy polynomials, Approximation polynomial, Fuzzy interpolation,
ملخص المقالة :
In this paper, rst a design is proposed for representing fuzzy polynomials withinput fuzzy and output fuzzy. Then, we sketch a constructive proof for existenceof such polynomial which can be fuzzy interpolation polynomial in a set given ofdiscrete points rather than a fuzzy function. Finally, to illustrate some numericalexamples are solved.
[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.
