NSGA-3matlab源程序

首先NSGA-III算法沿用了NSGA-II的框架，要弄懂NSGA-III，先要简略地了解NSGA-II,两种算法都是多目标进化算法，大致可以分为两步：第一步是非支配分层，第二步是从最后一个非支配层级中挑选个体进入子代。

% 
% 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

 属性            大小     日期    时间   名称
----------- ---------  ---------- -----  ----
     文件        1350  2016-12-12 00:02  YPEA126 NSGA-III\license.txt
     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
     文件        1333  2016-12-11 12:07  license.txt