Function behaves unexpectedly on array inputs. To improve performance, properly vectorize your function to return an output with the same size and shape as the input arguments

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Patis Thepsorn 2023-4-9

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https://ww2.mathworks.cn/matlabcentral/answers/1944159-function-behaves-unexpectedly-on-array-inputs-to-improve-performance-properly-vectorize-your-funct

评论： Patis Thepsorn 2023-4-9

I run the code with seperately set the function and f1, f2, f3, and f4. Why I still got the orange warning. Moreover, could you please check my code. Is it correct?

clear all

%Assignment 2 Multi-Objective functions with Pareto Frontier

%Objective functions

f1 = @(x) (x(1).^4) + ((2.*x(1).^2).*x(2)) + x(2).^2 +3;

f2 = @(x) (x(1).^2-1)^2+x(2).^2-3*x(2)+1;

FITNESSFCN = @(x) [(x(1).^4) + ((2.*x(1).^2).*x(2)) + x(2).^2 + 3, (x(1).^2-1)^2+x(2).^2-3*x(2)+1];

f3 = @(x,y) x.^4 + 2*x.^2.*y + y.^2 +3;

f4 = @(x,y) (x.^2-1)^2+(y.^2)-(3*y)+1;

%Input values

nvars = 2;

A = [];

b = [];

Aeq = [];

beq = [];

nonlcon = [];

lb = [];

ub = [];

%Plot pareto frontier

options = optimoptions(@gamultiobj,'PlotFcn',{@gaplotpareto});

[x, fval] = gamultiobj(FITNESSFCN,nvars,A,b,Aeq,beq,lb,ub,nonlcon,options);

Optimization terminated: average change in the spread of Pareto solutions less than options.FunctionTolerance.

xlabel('f1')

ylabel('f2')

title('Pareto Frontier in Objective Space')

figure

hold on

% Plot Pareto Frontier in Design Space

fcontour(f3, [-30 30 -20 20], 'LineColor', 'red')

fcontour(f4, [-30 30 -20 20], 'LineColor', 'blue')

Warning: Function behaves unexpectedly on array inputs. To improve performance, properly vectorize your function to return an output with the same size and shape as the input arguments.

scatter(x(:,1),x(:,2),10,[0 0 0],'filled','black')

xlabel('x1')

ylabel('x2')

title('Pareto Frontier in Design Space')