Advances in Theoretical and Applied Mathematics
  • Year: 2006
  • Volume: 1
  • Issue: 1

Newton's method for solving quadratic fuzzy equations

  • Author:
  • S. Abbasbandy1,2, J.J. Nieto3, R. Ezzati2, R. Rodríguez-López3,
  • Total Page Count: 8
  • Page Number: 1 to 8

1Department of Mathematics, Imam Khomeini International University, Ghazvin, 34194, Iran.

2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14778, Iran.

3Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain.

*Corresponding author: E-mail: amrosana@usc.es

Abstract

In this paper, we propose the numerical solution for the fuzzy equation where E, F, G and x are positive fuzzy numbers, by Newton's method. According to interval which contains extremal solutions [10], we give initial guess for this method. Some numerical illustrations are given to show the efficiency of algorithm.

Keywords

Newton's method, Fuzzy equation, Fuzzy real number