An iterative Gauss-Newton method to solve an algebraic fuzzy equation with crisp coefficients

Article type: Research Article

Authors: Amirfakhrian, Majid

Affiliations: Department of Mathematics, Islamic Azad University, Central Tehran Branch, Payambar Complex, Shahrak Gharb, Tehran, Iran. Tel./Fax: +98 (21) 88385773; Email: majiamir@yahoo.com., m_amirfakhrian@iauctb.ac.ir

Abstract: In this research an algebraic fuzzy equation of degree n with crisp coefficients and fuzzy variable has been introduced and presented an iterative method to find the fuzzy roots of it, numerically. An algorithm also has been presented to generate a sequence that can be converged to the root of an algebraic fuzzy equation.

Keywords: Nearest approximation, fuzzy numbers, fuzzy polynomial, algebraic fuzzy equation

DOI: 10.3233/IFS-2011-0483

Journal: Journal of Intelligent & Fuzzy Systems, vol. 22, no. 5-6, pp. 207-216, 2011