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Horner-Muller’s Method for Solving Interval Type-2 Fuzzy Polynomials

Nurhakimah Ab.Rahman, Lazim Abdullah, Ahmad Termimi Ab Ghani, Noor’Ani Ahmad


Several iterative methods have been explored by handful of researchers to solve interval type-2 fuzzy polynomials (IT2 FPs). However, the existing methods remain inadequate for us to conclude the most efficient method. In this paper, we propose the Horner-Muller’s method (HM’s method) for solving IT2 FPs. This method is proposed in light of the success of the Horner’s method and Muller’s method in solving the IT2 FPs. Two numerical examples are provided to illustrate the implementation of the HM’ method in producing the approximated solutions. A comparative analysis is also provided in this paper. The numerical results show that the HM’s method successfully produces the approximated solution for the IT2 FPs with a minimum number of iterations, compared to the Horner’s method and Muller’s method.


Horner’s method, muller’s method, interval type-2 fuzzy polynomials, iterative method

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