function?f?=?evaluate_objective（x?M?V）

%%?function?f?=?evaluate_objective（x?M?V）
%?Function?to?evaluate?the?objective?functions?for?the?given?input?vector
%?x.?x?is?an?array?of?decision?variables?and?f（1）?f（2）?etc?are?the
%?objective?functions.?The?algorithm?always?minimizes?the?objective
%?function?hence?if?you?would?like?to?maximize?the?function?then?multiply
%?the?function?by?negative?one.?M?is?the?numebr?of?objective?functions?and
%?V?is?the?number?of?decision?variables.?
%
%?This?functions?is?basically?written?by?the?user?who?defines?his/her?own
%?objective?function.?Make?sure?that?the?M?and?V?matches?your?initial?user
%?input.?Make?sure?that?the?
%
%?An?example?objective?function?is?given?below.?It?has?two?six?decision
%?variables?are?two?objective?functions.

%?f?=?[];
%?%%?objective?function?one
%?%?Decision?variables?are?used?to?form?the?objective?function.
%?f（1）?=?1?-?exp（-4*x（1））*（sin（6*pi*x（1）））^6;
%?sum?=?0;
%?for?i?=?2?:?6
%?????sum?=?sum?+?x（i）/4;
%?end
%?%%?Intermediate?function
%?g_x?=?1?+?9*（sum）^（0.25）;
%?
%?%%?objective?function?two
%?f（2）?=?g_x*（1?-?（（f（1））/（g_x））^2）;

%%?Kursawe?proposed?by?Frank?Kursawe.
%?Take?a?look?at?the?following?reference
%?A?variant?of?evolution?strategies?for?vector?optimization.
%?In?H.?P.?Schwefel?and?R.?M鋘ner?editors?Parallel?Problem?Solving?from
%?Nature.?1st?Workshop?PPSN?I?volume?496?of?Lecture?Notes?in?Computer?
%?Science?pages?193-197?Berlin?Germany?oct?1991.?Springer-Verlag.?
%
%?Number?of?objective?is?two?while?it?can?have?arbirtarly?many?decision
%?variables?within?the?range?-5?and?5.?Common?number?of?variables?is?3.
f?=?[];
%?objective?function?one
sum?=?0;
for?i?=?1?:?V?-?1
????sum?=?sum?-?10*exp（-0.2*sqrt（（x（i））^2?+?（x（i?+?1））^2））;
end
%?Decision?variables?are?used?to?form?the?objective?function.
f（1）?=?sum;

%?objective?function?two
sum?=?0;
for?i?=?1?:?V
????sum?=?sum?+?（abs（x（i））^0.8?+?5*（sin（x（i）））^3）;
end
%?Decision?variables?are?used?to?form?the?objective?function.
f（2）?=?sum;

%%?Check?for?error
if?length（f）?~=?M
????error（‘The?number?of?decision?variables?does?not?match?you?previous?input.?Kindly?check?your?objective?function‘）;
end

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2015-04-11?15:39??NSGA2\
?????文件????????2216??2006-03-16?15:28??NSGA2\evaluate_objective.m
?????文件????????5695??2006-03-16?15:30??NSGA2\genetic_operator.m
?????文件????????2024??2006-03-16?15:30??NSGA2\initialize_variables.m
?????文件????????7102??2006-03-16?15:36??NSGA2\non_domination_sort_mod.m
?????文件????????8127??2006-03-16?15:29??NSGA2\nsga_2.m
?????文件????????2200??2006-03-19?19:12??NSGA2\objective_description_function.m
?????文件????????2719??2006-03-16?15:38??NSGA2\replace_chromosome.m
?????文件????????3627??2006-03-16?15:38??NSGA2\tournament_selection.m