% Zitzler-Deb-Thiele N2 2nd objective function L. LAURENT -- 09/05/2018 -- luc.laurent@lecnam.net
0001 %% Zitzler-Deb-Thiele N2 2nd objective function 0002 %L. LAURENT -- 09/05/2018 -- luc.laurent@lecnam.net 0003 0004 % sources available here: 0005 % https://bitbucket.org/luclaurent/optigtest/ 0006 % https://github.com/luclaurent/optigtest/ 0007 0008 % optiGTest - set of testing functions A toolbox to easy manipulate functions. 0009 % Copyright (C) 2017 Luc LAURENT <luc.laurent@lecnam.net> 0010 % 0011 % This program is free software: you can redistribute it and/or modify 0012 % it under the terms of the GNU General Public License as published by 0013 % the Free Software Foundation, either version 3 of the License, or 0014 % (at your option) any later version. 0015 % 0016 % This program is distributed in the hope that it will be useful, 0017 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0018 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0019 % GNU General Public License for more details. 0020 % 0021 % You should have received a copy of the GNU General Public License 0022 % along with this program. If not, see <http://www.gnu.org/licenses/>. 0023 0024 function [p,dp]=funObjZitzlerDebThiele22(xx) 0025 0026 %constants 0027 a=9/29; 0028 0029 %responses and derivatives 0030 f1=xx(:,:,1); 0031 g=1+a*sum(xx(:,:,2:end),3); 0032 % 0033 rfg=f1./g; 0034 h=1-rfg.^2; 0035 % 0036 p=g.*h; 0037 0038 if nargout==2 0039 % 0040 df1=zeros(size(xx)); 0041 df1(:,:,1)=ones(size(xx,1),size(xx,2)); 0042 % 0043 dg=a*ones(size(xx)); 0044 dg(:,:,1)=0; 0045 % 0046 dh=-(df1.*g-f1.*dg)./g.^2.*2.*rfg; 0047 % 0048 dp=dg.*h+g.*dh; 0049 end 0050 end