Newton Raphson Method using Fuzzy Concept

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-42 Number-1
Year of Publication : 2017
Authors : Toralima Bora, G.C. Hazarika
  10.14445/22315373/IJMTT-V42P505

MLA

Toralima Bora, G.C. Hazarika "Newton Raphson Method using Fuzzy Concept ", International Journal of Mathematics Trends and Technology (IJMTT). V42(1):36-38 February 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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.

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