Fuzzified bisection method to find the root of an algebraic equation using n−polygonal fuzzy numbers

Abstract

In this paper, we introduce a fuzzified bisection method to find the root of an algebraic equation using n-polygonal fuzzy numbers. We present a new approach for finding the root of an algebraic equation with the n-polygonal fuzzy number. To solve the given algebraic equation, we consider a fuzzy interval, and the method iteratively reduces the interval containing the fuzzy root by evaluating the value of a function at each midpoint. We continue this process until the desired level of approximation is achieved. The fuzzified bisection method has broad applications in engineering, economics, and decision-making. The results demonstrate that the method provides a flexible and effective way to find root.