Abstract

Solving fuzzy equations has been a significant problem in fuzzy set theory. Various numerical techniques have been employed to solve this problem. However, numerical investigation has shown that most of these methods are computationally expensive due to the storage of Jacobian or approximate Jacobian at every iteration. In this paper, we propose a modification of Shamanskii’s method (SM) for dual fuzzy nonlinear equations. The proposed method does not require the evaluation of the derivative at each iteration. We begin by transforming the fuzzy quantities into its equivalent parametric form. Some numerical computations are carried out which illustrates that the method is very promising

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