Multi objective optimization of a 2D function.

Question

Ba Ba Black Sheep! 2017-1-9

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/319551-multi-objective-optimization-of-a-2d-function

编辑： Ba Ba Black Sheep! 2017-1-9

采纳的回答： Walter Roberson

在 MATLAB Online 中打开

I need to optimize the following function,

.

I have written the following program. But, I couldn't figure out how to get the program working with two parameters.

main.m

 fitness = @simpleMultiObjective;
 nvar = 2;
 [x, fval] = gamultiobj(fitness, nvar);

simpleMultiObjective.m

 function z = simpleMultiObjective(x, y)
    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

This program is generating the following error,

>> main
Error using simpleMultiObjective (line 2)
Not enough input arguments.
Error in createAnonymousFcn>@(x)fcn(x,FcnArgs{:}) (line 11)
fcn_handle = @(x) fcn(x,FcnArgs{:});
Error in gamultiobjMakeState (line 27)
    Score = FitnessFcn(state.Population(1,:));
Error in gamultiobjsolve (line 8)
state = gamultiobjMakeState(GenomeLength,FitnessFcn,ConstrFcn,output.problemtype,options);
Error in gamultiobj (line 261)
[x,fval,exitFlag,output,population,scores] = gamultiobjsolve(FitnessFcn,nvars, ...
Error in main (line 4)
[x, fval] = gamultiobj(fitness, nvar);
Caused by:
    Failure in initial user-supplied fitness function evaluation. GAMULTIOBJ cannot continue.
>>

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Answer 1

Walter Roberson 2017-1-9

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/319551-multi-objective-optimization-of-a-2d-function#answer_249824

在 MATLAB Online 中打开

 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