多目标蝗虫优化算法

素颜马尾好姑娘i 2023-01-24 04:21 140阅读 0赞

# 【Matlab源码】 #

![watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3VwZGF0ZTc_size_16_color_FFFFFF_t_70][]

使用 GWO 解决多目标问题

代码：

clc;
    clear;
    close all;
    
    % Change these details with respect to your problem%%%%%%%%%%%%%%
    ObjectiveFunction=@ZDT1;
    dim=5;
    lb=0;
    ub=1;
    obj_no=2;
    
    if size(ub,2)==1
        ub=ones(1,dim)*ub;
        lb=ones(1,dim)*lb;
    end
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    flag=0;
    if (rem(dim,2)~=0)
        dim = dim+1;
        ub = [ub, 1];
        lb = [lb, 0];
        flag=1;
    end
    
    
    max_iter=100;
    N=200;
    ArchiveMaxSize=100;
    
    Archive_X=zeros(100,dim);
    Archive_F=ones(100,obj_no)*inf;
    
    Archive_member_no=0;
    
    %Initialize the positions of artificial whales
    GrassHopperPositions=initialization(N,dim,ub,lb);
    
    TargetPosition=zeros(dim,1);
    TargetFitness=inf*ones(1,obj_no);
    
    cMax=1;
    cMin=0.00004;
    %calculate the fitness of initial grasshoppers
    
    for iter=1:max_iter
        for i=1:N
            
            Flag4ub=GrassHopperPositions(:,i)>ub';
            Flag4lb=GrassHopperPositions(:,i)<lb';
            GrassHopperPositions(:,i)=(GrassHopperPositions(:,i).*(~(Flag4ub+Flag4lb)))+ub'.*Flag4ub+lb'.*Flag4lb;
            
            GrassHopperFitness(i,:)=ObjectiveFunction(GrassHopperPositions(:,i)');
            if dominates(GrassHopperFitness(i,:),TargetFitness)
                TargetFitness=GrassHopperFitness(i,:);
                TargetPosition=GrassHopperPositions(:,i);
            end
            
        end
        
        [Archive_X, Archive_F, Archive_member_no]=UpdateArchive(Archive_X, Archive_F, GrassHopperPositions, GrassHopperFitness, Archive_member_no);
        
        if Archive_member_no>ArchiveMaxSize
            Archive_mem_ranks=RankingProcess(Archive_F, ArchiveMaxSize, obj_no);
            [Archive_X, Archive_F, Archive_mem_ranks, Archive_member_no]=HandleFullArchive(Archive_X, Archive_F, Archive_member_no, Archive_mem_ranks, ArchiveMaxSize);
        else
            Archive_mem_ranks=RankingProcess(Archive_F, ArchiveMaxSize, obj_no);
        end
        
        Archive_mem_ranks=RankingProcess(Archive_F, ArchiveMaxSize, obj_no);
        index=RouletteWheelSelection(1./Archive_mem_ranks);
        if index==-1
            index=1;
        end
        TargetFitness=Archive_F(index,:);
        TargetPosition=Archive_X(index,:)';
        
        c=cMax-iter*((cMax-cMin)/max_iter); % Eq. (3.8) in the paper
        
        for i=1:N
            
            temp= GrassHopperPositions;
            
            for k=1:2:dim
                S_i=zeros(2,1);
                for j=1:N
                    if i~=j
                        Dist=distance(temp(k:k+1,j), temp(k:k+1,i));
                        r_ij_vec=(temp(k:k+1,j)-temp(k:k+1,i))/(Dist+eps);
                        xj_xi=2+rem(Dist,2);
                           
                        %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Eq. (3.2) in the paper 
                        s_ij=((ub(k:k+1)' - lb(k:k+1)') .*c/2)*S_func(xj_xi).*r_ij_vec;
                        S_i=S_i+s_ij;
                        %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                    end
                end
                S_i_total(k:k+1, :) = S_i;
                
            end
            
            X_new=c*S_i_total'+(TargetPosition)'; % Eq. (3.7) in the paper
            GrassHopperPositions_temp(i,:)=X_new';
        end
        % GrassHopperPositions
        GrassHopperPositions=GrassHopperPositions_temp';
        
        display(['At the iteration ', num2str(iter), ' there are ', num2str(Archive_member_no), ' non-dominated solutions in the archive']);
    end
    
    
    if (flag==1)
        TargetPosition = TargetPosition(1:dim-1);
    end
    
    figure
    
    Draw_ZDT1();
    
    hold on
    
    plot(Archive_F(:,1),Archive_F(:,2),'ro','MarkerSize',8,'markerfacecolor','k');
    
    legend('True PF','Obtained PF');
    title('MOGOA');
    
    set(gcf, 'pos', [403   466   230   200])

运行结果如下：![watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3VwZGF0ZTc_size_16_color_FFFFFF_t_70 1][]

获取完整代码：[https://ai.52learn.online/code/21][https_ai.52learn.online_code_21]

[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3VwZGF0ZTc_size_16_color_FFFFFF_t_70]: /images/20221004/233761c209604733b7af1c03d80a4b60.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3VwZGF0ZTc_size_16_color_FFFFFF_t_70 1]: /images/20221004/de4c0f27ec7a419ba281a9f1a5a054ea.png
[https_ai.52learn.online_code_21]: https://ai.52learn.online/code/21