Convergence curve of two objectives separately for MOGA
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Hello,
I am scripting a two-objective problem using gamultiobj function in MATLAB. I know there are multiple PlotFcn in option to get usful information. However I was not able to find a term to plot the convergence curve for each of objective function. I also know that there is an option in ga which is 'gaplotbestf', but it is only usable in single-objective (ga) problem. 
I would appreciate if anyone lets me know how I can deal with this.
Thank you in advance
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  Charu
 2025-2-17
        Hello Siamak, 
According to my understanding you are working with “gamultiobj” function which is part of the Global Optimization  Toolbox. In MATLAB, the “gamultiobj” function is used for multi-objective optimization, and while it offers several plotting functions, it does not directly provide a built-in plot function for convergence curves of individual objectives like “gaplotbestf” function. However, you can create custom plot functions to visualize the convergence of each objective.
To achieve this you can write a function that captures and plots the convergence of each objective over iterations. This function will be called at each generation and then integratethe custom plot function using the “options” parameter in “gamultiobj”. Here is an example:
function state = plotConvergence(options, state, flag)
    numObjectives = size(state.Score, 2);
    persistent bestScores;
    if isempty(bestScores)
        bestScores = inf(state.Generation, numObjectives);
    end
    for i = 1:numObjectives
        bestScores(state.Generation + 1, i) = min(state.Score(:, i));
    end
    % Plot the convergence curve for each objective
    if strcmp(flag, 'iter')
        figure(1);
        for i = 1:numObjectives
            subplot(numObjectives, 1, i);
            plot(bestScores(1:state.Generation + 1, i), 'LineWidth', 2);
            title(['Convergence of Objective ', num2str(i)]);
            xlabel('Generation');
            ylabel(['Objective ', num2str(i), ' Value']);
            grid on;
        end
        drawnow;
    end
end
options = optimoptions('gamultiobj', ...
                       'PlotFcn', @plotConvergence, ...
                       'Display', 'iter');
% Define your objective function and constraints here
% objectiveFunction = @(x) [objective1(x), objective2(x)];
% lb = [lower_bounds];
% ub = [upper_bounds];
[x, fval] = gamultiobj(objectiveFunction, numVariables, [], [], [], [], lb, ub, options);
 Hope this helps! 
To know more about the “gamultiobj” function you can refer to the documentation link below:  
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