Multi objective optomization using gamultiobj

Dear All

Regarding this code

clc
clear
fitnessfcn = @(x)[norm(x)^2,0.5*norm(x(:)-[2;-1])^2+2];
rng default % For reproducibility
x = gamultiobj(fitnessfcn,2);

%% the result of x is a matrix and I need to know what is the optimal solution from this matrix , I need to choose only one solution which satisfy the minimization of the fitness function

Regards

[Matt J]

What is your criterion for choosing the one solution? In multi-objective optimization, you get a different solution depending on how much priority you place on each of the objectives.

[Alan Weiss]

To expand on Matt's answer, you have two objective functions here. In some regions they compete, meaning you can lower one only by raising the other. In those regions, there is no universal best point. That is what a Pareto front describes. For more information, see What Is Multiobjective Optimization?.

Alan Weiss

MATLAB mathematical toolbox documentation

[Hassan Abdelazeem]

Thank you indeed for your answer