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53 changes: 53 additions & 0 deletions
53
PlatEMO/Algorithms/Multi-objective optimization/MCCMO/CalFitness1.m
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function Fitness = CalFitness1(PopObj,PopCon,processcon,epsilon) | ||
% Calculate the fitness of each solution | ||
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||
%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2023 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". | ||
%-------------------------------------------------------------------------- | ||
|
||
N = size(PopObj,1); | ||
CV = PopCon(:,processcon); | ||
CV = sum(max(0,CV),2); | ||
CV(find(CV<=epsilon)) = 0; | ||
%% Detect the dominance relation between each two solutions | ||
Dominate = false(N); | ||
for i = 1 : N-1 | ||
for j = i+1 : N | ||
if CV(i) < CV(j) | ||
Dominate(i,j) = true; | ||
elseif CV(i) > CV(j) | ||
Dominate(j,i) = true; | ||
else | ||
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 | ||
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 |
56 changes: 56 additions & 0 deletions
56
PlatEMO/Algorithms/Multi-objective optimization/MGSAEA/CalFitness.m
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function Fitness = CalFitness(PopObj,PopCon) | ||
% Calculate the fitness of each solution | ||
|
||
%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2023 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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||
N = size(PopObj,1); | ||
if nargin == 1 | ||
CV = zeros(N,1); | ||
else | ||
CV = sum(max(0,PopCon),2); | ||
end | ||
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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 | ||
if CV(i) < CV(j) | ||
Dominate(i,j) = true; | ||
elseif CV(i) > CV(j) | ||
Dominate(j,i) = true; | ||
else | ||
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 | ||
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 |
81 changes: 81 additions & 0 deletions
81
PlatEMO/Algorithms/Multi-objective optimization/MGSAEA/EnvironmentalSelection.m
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function [PopDec,PopObj,Fitness] = EnvironmentalSelection(PopDec,PopObj,NI,M,status) | ||
% Environmental selection | ||
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%------------------------------- Copyright -------------------------------- | ||
% Copyright (c) 2023 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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%% Delete the duplicated points | ||
[~, Unduplicated] = unique(PopObj(:,1:M),'rows'); | ||
PopDec = PopDec(Unduplicated,:); | ||
PopObj = PopObj(Unduplicated,:); | ||
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%% Calculate the fitness of each solution | ||
if nargin == 4 | ||
Fitness = CalFitness(PopObj); | ||
else | ||
if status == 1 | ||
RealObj = PopObj(:,1:M); | ||
CV = PopObj(:,end); | ||
Fitness = CalFitness(RealObj,max(0,CV)); | ||
elseif status == 2 | ||
RealObj = PopObj(:,1:M); | ||
PopCon = PopObj(:,M+1:end); | ||
CV = sum(max(0,PopCon),2); | ||
Fitness = CalFitness([RealObj,CV]); | ||
elseif status == 3 | ||
Fitness = CalFitness(PopObj); | ||
end | ||
end | ||
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%% Environmental selection | ||
if nargin == 4 | ||
Next = Fitness < 1; | ||
if sum(Next) < NI | ||
[~,Rank] = sort(Fitness); | ||
Next(Rank(1:NI)) = true; | ||
elseif sum(Next) > NI | ||
Del = Truncation(PopObj(Next,:),sum(Next)-NI); | ||
Temp = find(Next); | ||
Next(Temp(Del)) = false; | ||
end | ||
else | ||
Next = Fitness < 1; | ||
if sum(Next) < NI | ||
[~,Rank] = sort(Fitness); | ||
Next(Rank(1:NI)) = true; | ||
elseif sum(Next) > NI | ||
if status ~=3 | ||
RealObj = PopObj(:,1:M); | ||
else | ||
RealObj = PopObj; | ||
end | ||
Del = Truncation(RealObj(Next,:),sum(Next)-NI); | ||
Temp = find(Next); | ||
Next(Temp(Del)) = false; | ||
end | ||
end | ||
PopDec = PopDec(Next,:); | ||
PopObj = PopObj(Next,:); | ||
Fitness = Fitness(Next); | ||
end | ||
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function Del = Truncation(PopObj,K) | ||
% Select part of the solutions by truncation | ||
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%% Truncation | ||
Distance = pdist2(PopObj,PopObj); | ||
Distance(logical(eye(length(Distance)))) = inf; | ||
Del = false(1,size(PopObj,1)); | ||
while sum(Del) < K | ||
Remain = find(~Del); | ||
Temp = sort(Distance(Remain,Remain),2); | ||
[~,Rank] = sortrows(Temp); | ||
Del(Remain(Rank(1))) = true; | ||
end | ||
end |
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