**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31108

##### The Approximate Solution of Linear Fuzzy Fredholm Integral Equations of the Second Kind by Using Iterative Interpolation

**Authors:**
N. Parandin,
M. A. Fariborzi Araghi

**Abstract:**

**Keywords:**
Linear Systems,
Iterative Method,
Fuzzy function integral equations,
Parametric form of fuzzy number

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1080235

**References:**

[1] S. Abbasbandy, E. Babolian, and M. Alavi, "Numerical method for solving linear Fredholm fuzzy integral equations of the second kind," Chaos, Solitons and Fractals, Vol. 31, pp. 138-146, 2007.

[2] S. Abbasbandy, B. Asady, "A not on "A new approach for difuzzification," Fuzzy Sets and System, Vol. 128, pp.131-132, 2002.

[3] D. Dubois and H. Prade, "Towards fuzzy differential calculus}, Fuzzy Sets and System, Vol. 8, pp.1-7. 1982.

[4] M. Friedman, M. Ming and A. Kandel, "Fuzzy linear systems"Fuzzy Sets and Systems, Vol. 96, pp. 201-209, 1998.

[5] M. Friedman, M. Ming and A. Kandel, "Numerical solutions of fuzzy differential and integral equations", Fuzzy Sets and System Vol. 106, pp. 35-48, 1999.

[6] R. Goetschel, W. Voxman, "Elementary calculus" Fuzzy Sets and System, Vol. 18, pp. 31-43, 1986

[7] O. Kaleva, "Fuzzy differential equations", Fuzzy Sets and System, Vol. 24, pp. 301-317, 1987

[8] G. J. Klir, U. S. Clair, B. Yuan, "Fuzzy set theory: foundations and Applications," Prentice-Hall Inc. 1997.

[9] M. Ma, M. Friedman and A. Kandel, "A new fuzzy arithmetic", Fuzzy Sets and System, Vol. 108(1999), pp. 83-90.

[10] M.Ma, A.Kandel and M.Fiedman, "Correction to "A new approach for defuzzification", Fuzzy Sets and System, Vol. 128, pp.133-134. 2002

[11] M.Ma, A. Kandel and M. Fiedman, "A new approach for defuzzification," Fuzzy Sets and System Vol. 111, pp. 351-356. 2000.

[12] M. Matloka, "On fuzzy integrals", In: proc. 2nd polish Symp. On interval and fuzzy Mathematics, Politechnika Poznansk, pp. 167- 170. 1987.

[13] S. Nanda, "On integration of fuzzy mappings," Fuzzy Sets and System, Vol. 32. pp. 95-101. 1999.

[14] M. T. Rashed, "Numerical solutions of functional integral equations", Applied Mathematics and Computation, Vol. 156, pp.507-512. 2004.

[15] H. Sadeghi Goghary and M. Sadeghi Goghary, "Two computational methods for solving linear Fredholm fuzzy integral equations of the second kind," Applied Mathematics and Computation, Vol. 182, pp.791-796. 2006.

[16] W. Congxin and M. Ma, "On embedding problem of fuzzy number spaces", Fuzzy Sets and Systems, Vol. 44, pp. 33-38, 1991; Vol. 45, pp. 189-202, 1992