Optimization is generating error plotting pareto front

Question

Ba Ba Black Sheep! 2017-1-10

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/319794-optimization-is-generating-error-plotting-pareto-front

评论： Walter Roberson 2017-1-10

The following code is generating the following error,

>> main
Optimization terminated: average change in the spread of Pareto 
solutions less than options.TolFun.
Undefined function or variable 'y'.
Error in main (line 9)
f1 = x.^4 + y.^4 - x.^2 * y.^2 + x * y - 10 * x.^2;

simpleMultiObjective.m

 function z = simpleMultiObjective(xy)
    x = xy(1); y = xy(2);
    z(1) = x.^4 + y.^4 - x.^2 * y.^2 + x * y - 10 * x.^2;    
    z(2) = x.^4 + y.^4 - x.^2 * y.^2 + x * y;
 end

main.m

fitness = @simpleMultiObjective;
nvar = 2;
[x, fval] = gamultiobj(fitness, nvar);
x0 = -5:0.5:5;
f1 = x.^4 + y.^4 - x.^2 * y.^2 + x * y - 10 * x.^2; 
f2 = x.^4 + y.^4 - x.^2 * y.^2 + x * y;
figure; hold on
plot(x0, f1);
plot(x0, f2);
grid;
xlabel('x');
ylabel('f');
plot(x, fval(:, 1), 'x');
plot(x, fval(:, 2), 'o');
figure;
plot(fval(:, 1), fval(:,2), 'o');
xlabel('f1');
ylabel('f2');
grid;

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Answer 1

Walter Roberson 2017-1-10

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/319794-optimization-is-generating-error-plotting-pareto-front#answer_250052

在 MATLAB Online 中打开

Change

[x, fval] = gamultiobj(fitness, nvar);

to

[xy, fval] = gamultiobj(fitness, nvar);
x = xy(1); y = xy(2);

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Ba Ba Black Sheep! 2017-1-10

How can I generate the table for data values for the Pareto front?

Walter Roberson 2017-1-10

What table? The answer to what you calculated is a particular pair of values that is the pareto optimum. There is no "table" associated with a pair of values.

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