Volume : IV, Issue : I, January - 2015

Fuzzification of Bisection Method

Prof G. C. Hazarika, Ms Toralima Bora

Abstract :

Fuzzy logic deals with reasoning that is approximate rather than fixed and exact. The term “fuzzy logic” was introduced in conjunction with the proposal of fuzzy set theory by lotfi A. Zadeh in the year 1965. Fuzzy logic has been applied to many fields. In mathematics and statistics, a fuzzy variable is a value which could lie in a probable range defined by quantitative limits or parameters and which can be usefully described with imprecise categories. Researchers in the past investigated a number of methods of numerical analysis with the help of Fuzzy theory. In this paper Bisection method is fuzzified using fuzzy interval. In this paper an attempt has been made to fuzzify the Bisection Method to find the root of an algeaic equation. Results have been observed by fuzzifying the intervals and its midpoint with iteration method. Proceeding in this way fuzzy membership functions can be found at next successive points using Fuzzy Bisection Method.

Keywords :

Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

Prof G. C. Hazarika,Ms Toralima Bora “Fuzzification of Bisection Method” International Journal of Scientific Research, Vol : 4, Issue : 1 January 2015

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