How can I do this example?

Learning Student

2018 5 23

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Now, I want to solve Multi-objective problem. So I found this example. URL : https://kr.mathworks.com/help/optim/ug/generate-and-plot-a-pareto-front.html

But I cannot solve the example. I want to second method for Plot a Pareto Front. I operate the function.

#1.function f = simple_mult(x)
f(:,1) = sqrt(1+x.^2);
f(:,2) = 4 + 2*sqrt(1+(x-1).^2);
#2.function z = pickindex(x,k)
z = simple_mult(x); % evaluate both objectives
z = z(k); % return objective k
#3.k = 1;
[min1,minfn1] = fminbnd(@(x)pickindex(x,k),-1,2);
k = 2;
[min2,minfn2] = fminbnd(@(x)pickindex(x,k),-1,2);
goal = [minfn1,minfn2];
nf = 2; % number of objective functions
N = 50; % number of points for plotting
onen = 1/N;
x = zeros(N+1,1);
f = zeros(N+1,nf);
fun = @simple_mult;
x0 = 0.5;
options = optimoptions('fgoalattain','Display','off');
for r = 0:N
    t = onen*r; % 0 through 1
    weight = [t,1-t];
    [x(r+1,:),f(r+1,:)] = fgoalattain(fun,x0,goal,weight,...
        [],[],[],[],[],[],[],options);
end
figure
plot(f(:,1),f(:,2),'k.');
xlabel('f_1')
ylabel('f_2')