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classdef BlockEA < ALGORITHM | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- | ||
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methods | ||
function main(Algorithm,Problem) | ||
%% Parameter setting | ||
[Blocks,Graph] = Algorithm.ParameterSet({},{}); | ||
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%% Generate random population | ||
isPop = arrayfun(@(s)isa(s,'Block_Population'),Blocks(:)'); | ||
Blocks(isPop).Initialization(Problem.Initialization()); | ||
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%% Optimization | ||
while Algorithm.NotTerminated(Blocks(1).output) | ||
activated = false(1,length(Blocks)); | ||
while ~all(activated(isPop)) | ||
for i = find(~activated) | ||
if all(activated(logical(Graph(:,i)))|isPop(logical(Graph(:,i)))) | ||
Blocks(i).Main(Problem,Blocks(logical(Graph(:,i))),Graph(:,i)); | ||
activated(i) = true; | ||
end | ||
end | ||
end | ||
end | ||
end | ||
end | ||
end |
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% classdef Block_Crossover < BLOCK | ||
% Unified crossover for real variables | ||
% nParents --- 2 --- Number of parents generating one offspring | ||
% nSets --- 5 --- Number of parameter sets | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- |
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% classdef Block_Exchange < BLOCK | ||
% Exchange of parents | ||
% nParents --- 2 --- Number of parents generating one offspring | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- |
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% classdef Block_Kopt < BLOCK | ||
% k-opt | ||
% k --- 4 --- Max number of k for k-opt | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- |
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% classdef Block_Mutation < BLOCK | ||
% Unified mutation for real variables | ||
% nSets --- 5 --- Number of parameter sets | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- |
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% classdef Block_Population < BLOCK | ||
% A population | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- |
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% classdef Block_Selection < BLOCK | ||
% Environmental selection | ||
% nSolutions --- 100 --- Number of retained solutions | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- |
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% classdef Block_Tournament < BLOCK | ||
% Tournament selection | ||
% nParents --- 100 --- Number of parents generated | ||
% upper --- 2 --- Max number of k for k-tournament | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- |
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PlatEMO/Algorithms/Multi-objective optimization/AC-MMEA/ACMMEA.m
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classdef ACMMEA < ALGORITHM | ||
% <multi> <real/integer> <large/none> <multimodal> <sparse> | ||
% Adaptive merging and coordinated offspring generation based multi-modal multi-objective evolutionary algorithm | ||
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%------------------------------- Reference -------------------------------- | ||
% X. Wang, T. Zheng, and Y. Jin, Adaptive merging and coordinated offspring | ||
% generation in multi-population evolutionary multi-modal multi-objective | ||
% optimization, Proceedings of the International Conference on Data-driven | ||
% Optimization of Complex Systems, 2023. | ||
%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- | ||
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% This function is written by Xiangyu Wang (email: [email protected]) | ||
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methods | ||
function main(Algorithm,Problem) | ||
%% Population initialization | ||
Dec = unifrnd(repmat(Problem.lower,Problem.N,1),repmat(Problem.upper,Problem.N,1)); | ||
Mask = zeros(Problem.N,Problem.D); | ||
GV = ones(1,Problem.D); | ||
for i = 1 : Problem.N | ||
Mask(i,TournamentSelection(2,ceil(rand*Problem.D),GV)) = 1; | ||
GV(Mask(i,:)==1) = GV(Mask(i,:)==1)+1; | ||
end | ||
Population = Problem.Evaluation(Dec.*Mask); | ||
[slst] = Clustering(Population.decs, 20, [Problem.lower,Problem.upper], Problem.D); | ||
K=size(slst,2); | ||
Masks = cell(1,K); | ||
Decs = cell(1,K); | ||
Populations = cell(1,K); | ||
GV = cell(1,K); | ||
FrontNo = cell(1,K); | ||
CrowdDis = cell(1,K); | ||
Fitness = cell(1,K); | ||
for i = 1 : K | ||
Populations{i} = Population(slst{i}); | ||
Masks{i} = Mask(slst{i},:); | ||
Decs{i} = Dec(slst{i},:); | ||
[Populations{i},Decs{i},Masks{i},FrontNo{i},CrowdDis{i}] = EnvironmentalSelection(Populations{i},Decs{i},Masks{i},length(Populations{i})); | ||
GV{i} = UpdateGV(zeros(1,Problem.D),Masks{i},FrontNo{i}); | ||
end | ||
StageIFlag = 1; | ||
Timea = 0; | ||
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%% Optimization | ||
while Algorithm.NotTerminated(Population) | ||
if Problem.FE < 0.3 * Problem.maxFE | ||
[~,rank] = sort(SubPopRank(Populations)); | ||
for i = 1 : K | ||
GV{rank(i)} = UpdateGV(GV{rank(i)},Masks{rank(i)},FrontNo{rank(i)}); | ||
Mating = TournamentSelection(2,2*length(Populations{rank(i)}),FrontNo{rank(i)},-CrowdDis{rank(i)}); | ||
[OffDec,OffMask] = Operator(Problem,Decs{rank(i)}(Mating,:),Masks{rank(i)}(Mating,:),GV{rank(i)}, StageIFlag); | ||
Offspring = Problem.Evaluation(OffDec.*OffMask); | ||
Populations{rank(i)} = [Populations{rank(i)},Offspring]; | ||
Decs{rank(i)} = [Decs{rank(i)};OffDec]; | ||
Masks{rank(i)} = [Masks{rank(i)};OffMask]; | ||
if i > 1 | ||
for j = 1 : i-1 | ||
[~,fs(rank(j))] = min(mean(Populations{rank(j)}.objs,2)); | ||
end | ||
R = zeros(1,Problem.D); | ||
for j = 1 : i-1 | ||
R = R + Masks{rank(j)}(fs(rank(j)),:); | ||
end | ||
R(R>0) = 1; | ||
dis = sum(repmat(R,length(Populations{rank(i)}),1)&Masks{rank(i)},2); | ||
[Populations{rank(i)},Decs{rank(i)},Masks{rank(i)},FrontNo{rank(i)},CrowdDis{rank(i)}] = EnvironmentalSelection(Populations{rank(i)},Decs{rank(i)},Masks{rank(i)},floor(Problem.N/K),dis); | ||
else | ||
[Populations{rank(i)},Decs{rank(i)},Masks{rank(i)},FrontNo{rank(i)},CrowdDis{rank(i)}] = EnvironmentalSelection(Populations{rank(i)},Decs{rank(i)},Masks{rank(i)},floor(Problem.N/K)); | ||
end | ||
end | ||
if mod(ceil(Problem.FE/Problem.N),50)==0 | ||
[Populations,Masks,Decs,GV,K]=SubPopSimility(Populations,Masks,Decs,GV); | ||
FrontNo = cell(1,K); | ||
CrowdDis = cell(1,K); | ||
for i = 1 : K | ||
[Populations{i},Decs{i},Masks{i},FrontNo{i},CrowdDis{i}] = EnvironmentalSelection(Populations{i},Decs{i},Masks{i},floor(Problem.N/K)); | ||
end | ||
end | ||
else | ||
if Timea == 0 | ||
for i = 1 : K | ||
[Populations{rank(i)},Decs{rank(i)},Masks{rank(i)},FrontNo{rank(i)},Fitness{rank(i)}] = EnvironmentalSelectionS(Populations{rank(i)},Decs{rank(i)},Masks{rank(i)},length(Populations{rank(i)})); | ||
GV{rank(i)} = UpdateGV(zeros(1,Problem.D),Masks{rank(i)},FrontNo{rank(i)}); | ||
end | ||
end | ||
Timea = Timea + 1; | ||
StageIFlag = 0; | ||
for i=1:K | ||
GV{rank(i)} = UpdateGV(GV{rank(i)},Masks{rank(i)},FrontNo{rank(i)}); | ||
Mating = TournamentSelection(2,2*length(Populations{rank(i)}),FrontNo{rank(i)},Fitness{rank(i)}); | ||
[OffDec,OffMask] = Operator(Problem,Decs{rank(i)}(Mating,:),Masks{rank(i)}(Mating,:),GV{rank(i)}, StageIFlag); | ||
Offspring = Problem.Evaluation(OffDec.*OffMask); | ||
Populations{rank(i)} = [Populations{rank(i)},Offspring]; | ||
Decs{rank(i)} = [Decs{rank(i)};OffDec]; | ||
Masks{rank(i)} = [Masks{rank(i)};OffMask]; | ||
[Populations{rank(i)},Decs{rank(i)},Masks{rank(i)},FrontNo{rank(i)},Fitness{rank(i)}] = EnvironmentalSelectionS(Populations{rank(i)},Decs{rank(i)},Masks{rank(i)},floor(Problem.N/K)); | ||
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end | ||
if mod(ceil(Problem.FE/Problem.N),50)==0 | ||
[Populations,Masks,Decs,GV,K]=SubPopSimility(Populations,Masks,Decs,GV); | ||
FrontNo = cell(1,K); | ||
CrowdDis = cell(1,K); | ||
for i = 1 : K | ||
[Populations{i},Decs{i},Masks{i},FrontNo{i},CrowdDis{i}] = EnvironmentalSelection(Populations{i},Decs{i},Masks{i},floor(Problem.N/K)); | ||
end | ||
Timea = 0; | ||
[~,rank] = sort(SubPopRank(Populations)); | ||
end | ||
end | ||
Population = [Populations{:}]; | ||
end | ||
end | ||
end | ||
end |
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47
PlatEMO/Algorithms/Multi-objective optimization/AC-MMEA/CalFitness.m
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function Fitness = CalFitness(PopObj) | ||
% Calculate the fitness of each solution | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- | ||
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% This function is written by Xiangyu Wang (email: [email protected]) | ||
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N = size(PopObj,1); | ||
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%% Detect the dominance relation between each two solutions | ||
Dominate = false(N); | ||
for i = 1 : N-1 | ||
for j = i+1 : N | ||
k = any(PopObj(i,:)<PopObj(j,:)) - any(PopObj(i,:)>PopObj(j,:)); | ||
if k == 1 | ||
Dominate(i,j) = true; | ||
elseif k == -1 | ||
Dominate(j,i) = true; | ||
end | ||
end | ||
end | ||
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%% Calculate S(i) | ||
S = sum(Dominate,2); | ||
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%% Calculate R(i) | ||
R = zeros(1,N); | ||
for i = 1 : N | ||
R(i) = sum(S(Dominate(:,i))); | ||
end | ||
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%% Calculate D(i) | ||
Distance = pdist2(PopObj,PopObj); | ||
Distance(logical(eye(length(Distance)))) = inf; | ||
Distance = sort(Distance,2); | ||
D = 1./(Distance(:,floor(sqrt(N)))+2); | ||
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%% Calculate the fitnesses | ||
Fitness = R + D'; | ||
end |
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70
PlatEMO/Algorithms/Multi-objective optimization/AC-MMEA/Clustering.m
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function slst = Clustering(X, n, bound, dim) | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2024 BIMK Group. You are free to use the PlatEMO for | ||
% research purposes. All publications which use this platform or any code | ||
% in the platform should acknowledge the use of "PlatEMO" and reference "Ye | ||
% Tian, Ran Cheng, Xingyi Zhang, and Yaochu Jin, PlatEMO: A MATLAB platform | ||
% for evolutionary multi-objective optimization [educational forum], IEEE | ||
% Computational Intelligence Magazine, 2017, 12(4): 73-87". | ||
%-------------------------------------------------------------------------- | ||
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% This function is written by Xiangyu Wang (email: [email protected]) | ||
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a = size(X,1); | ||
p = X; | ||
p(:,dim+1) = [1:a]; | ||
for i = 1 : a | ||
G{i} = i; | ||
end | ||
M = []; | ||
for j = 1 : a | ||
M(j,:) = ((sum((repmat(X(j,:),size(X,1),1) - X).^2,2)).^0.5)';%M(i, j) reprents the distance of i-th cluster to the j-th cluster | ||
end | ||
found = 1; | ||
while found == 1 | ||
found = 0; | ||
min_dist = (dim*((bound(2) - bound(1)).^2)).^0.5; | ||
for i = 1:size(G,2)-1 | ||
for j = i + 1 :size(G,2) | ||
if size(G{i},2) + size(G{j},2) < n+1 | ||
if min_dist >= M(i, j) | ||
min_dist = M(i, j); | ||
r = i; | ||
s = j; | ||
found = 1; | ||
end | ||
end | ||
end | ||
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end | ||
if ~isempty(r) && ~isempty(s) | ||
G{r} = [G{r}, G{s}]; % merge clusters r and s; | ||
for k = 1 : size(G{s},2) | ||
p(p(:,dim+1)==G{s}(k),:) = []; | ||
end | ||
G(s) = []; % delete cluster s; | ||
M(:,s) = []; % update the M | ||
M(s,:) = []; % update the M | ||
h = p(:,1:dim); | ||
for k = 1 : size(G{r},2) | ||
D(k,:) = ((sum((repmat(X(G{r}(k),:),size(h,1),1) - h).^2,2)).^0.5)'; | ||
end | ||
D = min(D,[],1); | ||
M(:,r) = D';M(r,:) = D; | ||
D = []; | ||
s = []; | ||
r = []; | ||
c = 0; | ||
for i = 1 : size(G,2) | ||
if size(G{i},2) == 1 | ||
c = c + 1; | ||
end | ||
end | ||
if c == 0 | ||
found = 0; | ||
end | ||
end | ||
end | ||
slst = G; | ||
end |
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