On Comparison of Crisp, Fuzzy, Intuitionistic Fuzzy Unconstrained Optimization Problems Using Newton’s Method

Abstract

This paper is focused on arithmetic operations on fuzzy and intuitionistic fuzzy numbers to solve the fuzzy unconstrained optimization problems with triangular and trapezoidal, fuzzy number coefficients. The optimal solution is obtained by fuzzy Newton's method, and the MATLAB outputs are also provided with illustrative examples. The method proposed in this research work has been compared with the existing Newton's method.

Bio-Inspired Optimization in Engineering and Sciences

“…Bio-inspired optimization algorithms [1,2] are a set of optimization algorithms inspired by natural phenomena, such as evolutionary processes, social behaviours, and swarm intelligence [3]. These algorithms attempt to simulate these processes to solve optimization problems [4,5].…”