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多目标鲈魚優化算法(Matlab代碼實作)

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目錄

​​💥1 概述​​

​​📚2 運作結果​​

​​🎉3 參考文獻​​

​​🌈4 Matlab代碼實作​​

💥1 概述

     鲈魚屬于鲈形目,身體呈透明桶形。它們的組織與水母高度相似。它們的運動也與水母非常相似,其中水被泵入身體作為向前移動的推進力。

關于這種生物的生物學研究正處于早期裡程碑,主要是因為它們的生活環境極難進入,而且将它們留在實驗室環境中确實很難。論文中感興趣的是它們的蜂群行為。在深海中,貓魚通常會形成一個稱為貂魚鍊的群。這種行為的主要原因還不是很清楚,但一些研究人員認為,這樣做是為了通過快速協調的變化和覓食來實作更好的運動。

文獻中幾乎沒有對蜂群行為和鲈魚種群進行數學模組化。此外,沒有用于解決優化問題的salp群的數學模型,而蜂群,螞蟻和魚類群已被廣泛用于模組化并用于解決優化問題。Salp Swarm 算法 (SSA) 模仿 salps 來解決優化問題。

多目标鲈魚優化算法(Matlab代碼實作)

📚2 運作結果

多目标鲈魚優化算法(Matlab代碼實作)

🎉3 參考文獻

主函數代碼:
 %____________________________________________________________________________________
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
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%max_iter=100;
 N=200;
 ArchiveMaxSize=100;Archive_X=zeros(100,dim);
 Archive_F=ones(100,obj_no)*inf;Archive_member_no=0;
r=(ub-lb)/2;
 V_max=(ub(1)-lb(1))/10;Food_fitness=inf*ones(1,obj_no);
 Food_position=zeros(dim,1);Salps_X=initialization(N,dim,ub,lb);
 fitness=zeros(N,2);V=initialization(N,dim,ub,lb);
 iter=0;position_history=zeros(N,max_iter,dim);
for iter=1:max_iter
     
     c1 = 2*exp(-(4*iter/max_iter)^2); % Eq. (3.2) in the paper
     
     for i=1:N %Calculate all the objective values first
         Salps_fitness(i,:)=ObjectiveFunction(Salps_X(:,i)');
         if dominates(Salps_fitness(i,:),Food_fitness)
             Food_fitness=Salps_fitness(i,:);
             Food_position=Salps_X(:,i);
         end
     end
     
     [Archive_X, Archive_F, Archive_member_no]=UpdateArchive(Archive_X, Archive_F, Salps_X, Salps_fitness, 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);
     % Archive_mem_ranks
     % Chose the archive member in the least population area as food`
     % to improve coverage
     index=RouletteWheelSelection(1./Archive_mem_ranks);
     if index==-1
         index=1;
     end
     Food_fitness=Archive_F(index,:);
     Food_position=Archive_X(index,:)';
     
     for i=1:N
         
         index=0;
         neighbours_no=0;
         
         if i<=N/2
             for j=1:1:dim
                 c2=rand();
                 c3=rand();
                 %%%%%%%%%%%%% % Eq. (3.1) in the paper %%%%%%%%%%%%%%
                 if c3<0.5
                     Salps_X(j,i)=Food_position(j)+c1*((ub(j)-lb(j))*c2+lb(j));
                 else
                     Salps_X(j,i)=Food_position(j)-c1*((ub(j)-lb(j))*c2+lb(j));
                 end
                 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
             end
         elseif i>N/2 && i<N+1
             
             point1=Salps_X(:,i-1);
             point2=Salps_X(:,i);
             
             Salps_X(:,i)=(point2+point1)/(2); % Eq. (3.4) in the paper
         end
         
         Flag4ub=Salps_X(:,i)>ub';
         Flag4lb=Salps_X(:,i)<lb';
         Salps_X(:,i)=(Salps_X(:,i).*(~(Flag4ub+Flag4lb)))+ub'.*Flag4ub+lb'.*Flag4lb;
         
     end
     
     display(['At the iteration ', num2str(iter), ' there are ', num2str(Archive_member_no), ' non-dominated solutions in the archive']);
     
 endfigure
Draw_ZDT1();
hold on
plot(Archive_F(:,1),Archive_F(:,2),'ro','MarkerSize',8,'markerfacecolor','k');
legend('True PF','Obtained PF');
 title('MSSA');set(gcf, 'pos', [403   466   230   200])      

​​🌈​​4 Matlab代碼實作

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