% Zitzler-Deb-Thiele N6 2nd objective function L. LAURENT -- 09/05/2018 -- luc.laurent@lecnam.net
0001 %% Zitzler-Deb-Thiele N6 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]=funObjZitzlerDebThiele62(xx) 0025 0026 %constants 0027 a=9; 0028 b=0.25; 0029 0030 %responses and derivatives 0031 if nargout==2 0032 [f1,df1]=funObjZitzlerDebThiele61(xx); 0033 else 0034 f1=funObjZitzlerDebThiele61(xx); 0035 end 0036 % 0037 td=sum(xx(:,:,2:end),3); 0038 g=1+a/a^b*td.^b; 0039 % 0040 rfg=f1./g; 0041 h=1-rfg.^2; 0042 % 0043 p=g.*h; 0044 0045 if nargout==2 0046 % 0047 dg=a/a^b*b*ones(size(xx)).*td.^(b-1); 0048 dg(:,:,1)=0; 0049 % 0050 dh=-(df1.*g-f1.*dg)./g.^2.*2.*rfg; 0051 % 0052 dp=dg.*h+g.*dh; 0053 end 0054 end