Newton Raphson Method using Fuzzy Concept

Toralima Bora; G.C. Hazarika

doi:https://doi.org/10.14445/22315373/IJMTT-V42P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 42 | Number 1 | Year 2017 | Article Id. IJMTT-V42P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V42P505

Newton Raphson Method using Fuzzy Concept

Toralima Bora, G.C. Hazarika

Citation :

Toralima Bora, G.C. Hazarika, "Newton Raphson Method using Fuzzy Concept," International Journal of Mathematics Trends and Technology (IJMTT), vol. 42, no. 1, pp. 36-38, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V42P505

Abstract

Numerical methods are techniques which give approximate solutions to hard problems. Fuzzy numbers are foundation of fuzzy sets and fuzzy mathematics that extends the domain of numbers from those of real numbers to fuzzy numbers. Researchers in the past investigated a number of methods of numerical analysis with the help of Fuzzy theory. Recently, various methods have been developed for solving linear programming problems with fuzzy number. Many research works were done on fuzzy numbers and on its applications in various fields. But very few developments have been seen in the area of numerical methods using fuzzy triangular numbers. In this paper the fuzzification of Newton Raphson method to find the solution of cubic equation has been discussed. Results have been obtained in the form of triangular numbers along with the membership function.

Keywords

Newton Raphson Method, Fuzzy membership function, Triangular fuzzy number, α-cut etc.

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