%?
%?Copyright?（c）?2016?Yarpiz?（www.yarpiz.com）
%?All?rights?reserved.?Please?read?the?“license.txt“?for?license?terms.
%?
%?Project?Code:?YPEA126
%?Project?title:?Non-dominated?Sorting?Genetic?Algorithm?III?（NSGA-III）
%?Publisher:?Yarpiz?（www.yarpiz.com）
%?
%?Implemented?by:?S.?Mostapha?Kalami?Heris?PhD?（member?of?Yarpiz?Team）
%?
%?Contact?Info:?sm.kalami@gmail.com?info@yarpiz.com
%?
%?base?Reference?Paper:
%?K.?Deb?and?H.?Jain?“An?Evolutionary?Many-objective?Optimization?Algorithm?
%?Using?Reference-Point-based?Nondominated?Sorting?Approach?Part?I:?Solving
%?Problems?With?Box?Constraints“
%?in?IEEE?Transactions?on?Evolutionary?Computation
%?vol.?18?no.?4?pp.?577-601?Aug.?2014.
%?
%?Reference?Papaer?URL:?http://doi.org/10.1109/TEVC.2013.2281535
%?

function?[pop?d?rho]?=?AssociateToReferencePoint（pop?params）

????Zr?=?params.Zr;
????nZr?=?params.nZr;
????
????rho?=?zeros（1nZr）;
????
????d?=?zeros（numel（pop）?nZr）;
????
????for?i?=?1:numel（pop）
????????for?j=?1:nZr
????????????w?=?Zr（:j）/norm（Zr（:j））;
????????????z?=?pop（i）.NormalizedCost;
????????????d（ij）?=?norm（z?-?w‘*z*w）;
????????end
????????
????????[dmin?jmin]?=?min（d（i:））;
????????
????????pop（i）.AssociatedRef?=?jmin;
????????pop（i）.DistanceToAssociatedRef?=?dmin;
????????rho（jmin）?=?rho（jmin）?+?1;
????????
????end

end

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2016-12-12?00:02??YPEA126?NSGA-III\
?????文件????????1350??2016-12-12?00:02??YPEA126?NSGA-III\license.txt
?????目錄???????????0??2016-12-12?00:03??YPEA126?NSGA-III\NSGA-III\
?????文件????????1363??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\AssociateToReferencePoint.m
?????文件?????????937??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\Crossover.m
?????文件?????????956??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\Dominates.m
?????文件????????1321??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\GenerateReferencePoints.m
?????文件????????1350??2016-12-12?00:02??YPEA126?NSGA-III\NSGA-III\license.txt
?????文件?????????800??2016-12-12?00:12??YPEA126?NSGA-III\NSGA-III\main.m
?????文件?????????949??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\MOP2.m
?????文件?????????970??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\Mutate.m
?????文件????????2251??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\NonDominatedSorting.m
?????文件????????1291??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\NormalizePopulation.m
?????文件????????3828??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\nsga3.m
?????文件????????1628??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\PerformScalarizing.m
?????文件?????????981??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\PlotCosts.m
?????文件????????2347??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\SortAndSelectPopulation.m
?????文件????????1068??2016-12-12?00:13??YPEA126?NSGA-III\NSGA-III\UpdateIdealPoint.m
?????文件?????????121??2015-08-23?04:35??YPEA126?NSGA-III\NSGA-III\www.yarpiz.com.url
?????文件?????????121??2015-08-23?04:35??YPEA126?NSGA-III\www.yarpiz.com.url