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📄 fcmdemo.m

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function fcmdemo(action)
%FCMDEMO Fuzzy c-means clustering demo (2-D).
%   FCMDEMO displays a GUI window to let you try out various parameters
%   in fuzzy c-means clustering for 2-D data. You can choose the data set
%   and clustering number from the GUI buttons at right, and then click
%   "Start" to start the fuzzy clustering process.
%
%   Once the clustering is done, you can select one of the clusters by
%   mouse and view the MF surface by clicking the "MF Plot" button.
%   (Note that "MF Plot" is slow because MATLAB is using the command
%   "griddata" to do interpolation among all data points.) To get a
%   better viewing angle, click and drag inside the figure to rotate the
%   MF surface.
%
%   If you choose to use a customized data set, it must be 2-D data.
%   Moreover, the data set is normalized to within the unit cube
%   [0,1] X [0,1] before being clustered.
%
%   File name: fcmdemo.m
%
%   See also DISTFCM, INITFCM, IRISFCM, STEPFCM, FCM.

%   J.-S. Roger Jang, 12-12-94.
%   Copyright 1994-2004 The MathWorks, Inc.
%   $Revision: 1.16.2.4.2.1 $  $Date: 2005/07/17 06:05:53 $

global FcmFigH FcmFigTitle FcmAxisH FcmCenter FcmU OldDataID

if nargin == 0,
    action = 'initialize';
end

if strcmp(action, 'initialize'),
    FcmFigTitle = '2-D Fuzzy C-Means Clustering';
    FcmFigH = findobj(0, 'Name', FcmFigTitle);
    if isempty(FcmFigH)
        eval([mfilename, '(''set_gui'')']);
        % ====== change to normalized units
                set(findobj(FcmFigH,'Units','pixels'),'Units','normal');
                % ====== make all UI interruptible
                set(findobj(FcmFigH,'Interrupt','off'),'Interrupt','on');
    else
%	set(FcmFigH, 'color', get(FcmFigH, 'color'));
	refresh(FcmFigH);
    end
elseif strcmp(action, 'set_gui'),   % set figure, axes and gui's
    % ====== setting figure
    
    FcmFigH = figure('Name', FcmFigTitle, 'NumberTitle', 'off','DockControls','off','Resize','off');
    bck_color = get(FcmFigH, 'Color');
    set(FcmFigH,'units','character');
    figPos_ch = get(FcmFigH,'pos');
        
    if figPos_ch(4) < 40
        figPos_ch(4) = 40;
    end

    set(FcmFigH, 'pos', figPos_ch);    
    set(FcmFigH,'units','pixels');
    figPos = get(FcmFigH, 'position');
    figPos(3) = figPos(4) * 1.45;
    set(FcmFigH,'pos',figPos);
    centerfig(FcmFigH);
    
    border = 15;
    axes_pos = [border,border,figPos(4)-2*border,figPos(4)-2*border];
    FcmAxisH = axes('unit', 'pix', 'pos', axes_pos, 'box', 'on', 'Color', [0,0,0]);

    axis([0 1 0 1]);
    axis square;
    set(FcmAxisH, 'xtick', [], 'ytick', []);
    
    txt1_txt = 'Fuzzy c-means (FCM) is a data clustering technique which assigns each data point in the dataset a degree of membership to each cluster.'; 
    mftxt_txt = sprintf('%s\n%s','Select a cluster and', 'click on the button below.');

    sborder = 5;

    uip1_pos = zeros(1,4);
    uip1_pos(1) = axes_pos(3) + 2*border;
    uip1_pos(3) = figPos(3)-(axes_pos(3) + 3*border);
    uip1_pos(4) = round(figPos(4)/figPos_ch(4) * round(3 +  1.5*(length(txt1_txt) / ((figPos_ch(3)/figPos(3)) * uip1_pos(3)) )) ); % inv_ratio *  len_of_line / ratio * width_available
    uip1_pos(2) = figPos(4) - (uip1_pos(4) + border);
    uip1 = uipanel('Parent', FcmFigH, 'units', 'pixels', 'pos', uip1_pos, 'Title', {'About FCM'}, 'FontWeight','bold', 'backgroundColor', bck_color, 'Tag', 'uipanel1');
    
    uip2_pos = zeros(1,4);
    uip2_pos(1) = uip1_pos(1);
    uip2_pos(3) = uip1_pos(3);
    uip2_pos(4) = round(figPos(4)/figPos_ch(4) * 19);
    uip2_pos(2) = figPos(4) - (uip2_pos(4) + uip1_pos(4) + border + sborder);
    uip2 = uipanel('Parent', FcmFigH, 'units', 'pixels', 'pos', uip2_pos, 'Title', {'FCM Settings'}, 'FontWeight','bold', 'backgroundcolor', bck_color, 'Tag', 'uipanel2');
       
    uip3_pos = zeros(1,4);
    uip3_pos(1) = uip1_pos(1);
    uip3_pos(3) = uip1_pos(3);
    uip3_pos(4) = round(figPos(4)/figPos_ch(4) * 8); 
    uip3_pos(2) = figPos(4) - (uip3_pos(4) + uip1_pos(4) + uip2_pos(4) + border + 2*sborder);
    uip3 = uipanel('Parent', FcmFigH, 'units', 'pixels', 'pos', uip3_pos, 'Title', {'Plot Membership Functions'}, 'FontWeight','bold', 'backgroundcolor', bck_color, 'Tag', 'uipanel3');

    set(uip1, 'units', 'character')
    set(uip2, 'units', 'character')
    set(uip3, 'units', 'character')
          
    uip1_posch = get(uip1, 'pos');
    uip2_posch = get(uip2, 'pos');
    uip3_posch = get(uip3, 'pos');
    
    morebut_pos = [uip1_posch(3)-12,0.5,10,1.5];
    txt1_pos = [1.5,morebut_pos(4)+1,uip1_posch(3)-3,uip1_posch(4)-morebut_pos(4)-3];

    morebut = uicontrol('Parent',uip1,'Style','push',...
        'units','character','String','More...','Position',morebut_pos, ...
        'Backgroundcolor', bck_color, 'Tag', 'morebutton', 'HorizontalAlignment', 'center');%, 'ForegroundColor', [0,0,1], 'FontWeight','bold');
    uicontrol('Parent',uip1,'Style','Text','units','character',...
        'String',txt1_txt,'Position',txt1_pos, 'Backgroundcolor', bck_color,...
        'HorizontalAlignment','left','Tag', 'abouttext');


    startbut_pos = [uip2_posch(3)/3,1,uip2_posch(3)/3,1.5];
    
    improvtxt_pos = [1,startbut_pos(2)+startbut_pos(4)+2.5,length('Min. Improvement')+2,1];
    improvedit_pos = [improvtxt_pos(1)+improvtxt_pos(3)+0.1,improvtxt_pos(2)-0.25,uip2_posch(3)-improvtxt_pos(3)-0.1-3,improvtxt_pos(4)+0.5];
    
    itertxt_pos = [1,improvtxt_pos(2)+improvtxt_pos(4)+1,improvtxt_pos(3),1];
    iteredit_pos = [itertxt_pos(1)+itertxt_pos(3)+0.1,itertxt_pos(2)-0.25,uip2_posch(3)-itertxt_pos(3)-0.1-3,itertxt_pos(4)+0.5];

    exptxt_pos = [1,itertxt_pos(2)+itertxt_pos(4)+1,improvtxt_pos(3),1];
    expedit_pos = [exptxt_pos(1)+exptxt_pos(3)+0.1,exptxt_pos(2)-0.25,uip2_posch(3)-exptxt_pos(3)-0.1-3,exptxt_pos(4)+0.5];
    
    clustpmnu_pos = [1,exptxt_pos(2)+exptxt_pos(4)+1,uip2_posch(3)-2.75,1.5];
    clusttxt_pos = [1,clustpmnu_pos(2)+clustpmnu_pos(4),clustpmnu_pos(3),1];
    
    datasetpmnu_pos = [1,clusttxt_pos(2)+clusttxt_pos(4)+1,clustpmnu_pos(3),1.5];
    datasettxt_pos = [1,datasetpmnu_pos(2)+datasetpmnu_pos(4),datasetpmnu_pos(3),1];
    
    datasettxt_txt = 'Choose a sample dataset';
    clusttxt_txt = 'How many clusters do you want?';
    improvtxt_txt = 'Min. Improvement';
    itertxt_txt = 'Max. Iterations';
    exptxt_txt = 'Exponent';
    
    
    
    uicontrol('Parent',uip2,'Style','Text','units','character',...
        'String',datasettxt_txt,'Position',datasettxt_pos, 'Backgroundcolor', bck_color,...
        'HorizontalAlignment','left','Tag', 'datasettxt');
    datasetpmnu = uicontrol('Parent',uip2,'Style','popupmenu','units','character',...
        'Position',datasetpmnu_pos,'string','Data Set 1|Data Set 2|Data Set 3|Data Set 4|Data Set 5|Custom ...',...
        'HorizontalAlignment','left','BackgroundColor',[1,1,1],'Tag', 'data_set');
    uicontrol('Parent',uip2,'Style','text','units','character',...
        'Position',clusttxt_pos, 'string', clusttxt_txt, 'Backgroundcolor', bck_color,...
        'HorizontalAlignment','left','Tag', 'clusttxt');
    clustpmnu = uicontrol('Parent',uip2,'Style','popupmenu','units','character',...
        'Position',clustpmnu_pos, 'string', '2 Clusters|3 Clusters|4 Clusters|5 Clusters|6 Clusters|7 Clusters|8 Clusters|9 Clusters|10 Clusters',...
        'HorizontalAlignment','left','BackgroundColor',[1,1,1],'Tag', 'cluster_menu');
    expedit = uicontrol('Parent',uip2,'Style','edit','units','character',...
        'Position',expedit_pos,'Backgroundcolor', [1,1,1],...
        'HorizontalAlignment','center','Tag', 'datasettxt');
    uicontrol('Parent',uip2,'Style','Text','units','character',...
        'String',exptxt_txt,'Position',exptxt_pos,'Backgroundcolor', bck_color,...
        'HorizontalAlignment','left','Tag', 'datasettxt');
    iteredit = uicontrol('Parent',uip2,'Style','edit','units','character',...
        'Position',iteredit_pos,'Backgroundcolor', [1,1,1],...
        'HorizontalAlignment','center','Tag', 'datasettxt');
    uicontrol('Parent',uip2,'Style','Text','units','character',...
        'String',itertxt_txt,'Position',itertxt_pos,'Backgroundcolor', bck_color,...
        'HorizontalAlignment','left','Tag', 'datasettxt');
    improvedit = uicontrol('Parent',uip2,'Style','edit','units','character',...
        'Position',improvedit_pos,'Backgroundcolor', [1,1,1],...
        'HorizontalAlignment','center','Tag', 'datasettxt');
    uicontrol('Parent',uip2,'Style','Text','units','character',...
        'String',improvtxt_txt,'Position',improvtxt_pos,'Backgroundcolor', bck_color,...
        'HorizontalAlignment','left','Tag', 'datasettxt');
    startbut = uicontrol('Parent',uip2,'Style','pushbutton','units','character',...
        'String', 'START', 'Position',startbut_pos, 'Backgroundcolor', bck_color,...
        'FontWeight', 'bold', 'HorizontalAlignment','left','Tag', 'clustpmnu');


    mfplot_pos = [uip3_posch(3)/3,1,uip3_posch(3)/3,1.5];
    mftext_pos = [2,mfplot_pos(4)+1,uip3_posch(3)-4,uip3_posch(4)-mfplot_pos(4)-3];

    uicontrol('Parent',uip3,'Style','Text','units','character',...
        'String',mftxt_txt,'Position',mftext_pos, 'Backgroundcolor', bck_color,...
        'HorizontalAlignment','center','Tag', 'mftext');
    mfplot = uicontrol('Parent',uip3,'Style','pushbutton',...
        'units','character','String','Plot MF','Position',mfplot_pos, ...
        'Backgroundcolor', bck_color, 'Tag', 'plotbutton');

    % ============ data set
    set(datasetpmnu, 'callback', ...
        [mfilename, '(''get_data''); ', mfilename, '(''init_U''); ', mfilename, '(''label_data0''); ', mfilename, '(''display_data'');']);
    set(datasetpmnu, 'tag', 'data_set');
    % ============ cluster number
    set(clustpmnu, 'callback', [mfilename, '(''cluster_number'');']);
    set(clustpmnu, 'tag', 'cluster_number');
    % ============ clear center
    set(mfplot, 'tag', 'mf_plot');
    set(mfplot, 'callback', [mfilename, '(''mf_plot'')']);
    % ============ start & stop
    set(startbut, 'tag', 'start');
    set(startbut, 'callback', [mfilename, '(''start_stop'')']);
    % ============ exponential
    set(expedit, 'string', '2', 'tag', 'exponent', 'callback', [mfilename, '(''exponent'')']);
    % ============ max iteration
    set(iteredit,'string', '100','tag', 'max_iter');
    % ============ epsilson
    set(improvedit, 'string', '1e-5', 'tag', 'min_impro');
    % ============ info
    set(morebut, 'tag', 'info', 'callback', [mfilename, '(''info'')']);
    
    % creating invisible UI items so that the old code works
    uicontrol('Parent',uip3,'Style','radio','units','character',...
        'Visible','off', 'Position',mftext_pos,...
        'value', 1, 'Tag', 'label_data');
    uicontrol('Parent',uip3,'Style','push','units','character',...
        'Visible','off', 'Position',mftext_pos,...
        'Tag', 'clear_traj');

    % setting initial values for GUI. 
    % ============ initial settings for data set
    OldDataID = 2;
    set(findobj(FcmFigH, 'tag', 'data_set'), 'value', OldDataID);
    % ============ initial settings for cluster number 
    set(findobj(FcmFigH, 'tag', 'cluster_number'), 'value', 2);
    % ============ initial settings for exponent 
    exponent = 2.0;
    set(findobj(FcmFigH, 'tag', 'exponent'), 'string', num2str(exponent));
    % ============ initial settings for max_iter 
    max_iter = 100;
    set(findobj(FcmFigH, 'tag', 'max_iter'), 'string', num2str(max_iter));
    % ============ initial settings for min_impro 
    min_impro = 1e-5;
    set(findobj(FcmFigH, 'tag', 'min_impro'), 'string', num2str(min_impro));
    % ============ GUI initial operations
    eval([mfilename, '(''get_data'')']);
    eval([mfilename, '(''init_U'')']);
    eval([mfilename, '(''label_data0'')']);
    eval([mfilename, '(''display_data'')']);
    eval([mfilename, '(''set_mouse_action'')']);
    % ============ set user data
    uiH = [datasetpmnu, clustpmnu, 0, 0, mfplot, startbut, 0, 0, 0, morebut, 0]; 
    set(FcmFigH, 'userdata', uiH);

elseif strcmp(action, 'start_stop'),
    
    eval([mfilename, '(''clear_traj'')']);
    if ~isempty(findobj(FcmFigH, 'string', 'START')), 
        eval([mfilename, '(''start_clustering'')']);
    else    % stop clustering
        set(findobj(FcmFigH, 'tag', 'start'), 'string', 'START');
    end
elseif strcmp(action, 'start_clustering'),
    % === set some buttons to be uninterruptible
    % The following does not work
    %set(findobj(FcmFigH, 'tag', 'data_set'), 'interrupt', 'no');
    %set(findobj(FcmFigH, 'tag', 'cluster_number'), 'interrupt', 'no');
    %set(findobj(FcmFigH, 'tag', 'clear_traj'), 'interrupt', 'no');
    %set(findobj(FcmFigH, 'tag', 'mf_plot'), 'interrupt', 'no');
    %set(findobj(FcmFigH, 'tag', 'exponent'), 'interrupt', 'no');
    %set(findobj(FcmFigH, 'tag', 'max_iter'), 'interrupt', 'no');
    %set(findobj(FcmFigH, 'tag', 'min_impro'), 'interrupt', 'no');

    set(findobj(FcmFigH, 'tag', 'data_set'), 'enable', 'off');
    set(findobj(FcmFigH, 'tag', 'cluster_number'), 'enable', 'off');
    set(findobj(FcmFigH, 'tag', 'clear_traj'), 'enable', 'off');
    set(findobj(FcmFigH, 'tag', 'mf_plot'), 'enable', 'off');
    set(findobj(FcmFigH, 'tag', 'exponent'), 'enable', 'off');
    set(findobj(FcmFigH, 'tag', 'max_iter'), 'enable', 'off');
    set(findobj(FcmFigH, 'tag', 'min_impro'), 'enable', 'off');
    set(findobj(FcmFigH, 'string', 'Expo.:'), 'enable', 'off');
    set(findobj(FcmFigH, 'string', 'Iterat.:'), 'enable', 'off');
    set(findobj(FcmFigH, 'string', 'Improv.:'), 'enable', 'off');

    % === change label of start
    set(findobj(FcmFigH, 'tag', 'start'), 'string', 'Stop');
    % === delete selectH
    delete(findobj(FcmFigH, 'tag', 'selectH'));
    set(findobj(FcmFigH, 'tag', 'mf_plot'), 'userdata', []);
    % === find some clustering parameters
    expo = str2double(get(findobj(FcmFigH, 'tag', 'exponent'), 'string'));
    cluster_n = get(findobj(FcmFigH, 'tag', 'cluster_number'), 'value')+1;
    max_iter = str2double(get(findobj( ...
        FcmFigH, 'tag', 'max_iter'), 'string'));
    min_eps = str2double(get(findobj( ...
        FcmFigH, 'tag', 'min_impro'), 'string'));
    dataplotH = get(findobj(FcmFigH, 'tag', 'data_set'), 'userdata');
    data = get(dataplotH, 'userdata');
    data_n = size(data, 1);
    % === initial partition
    FcmU = initfcm(cluster_n, data_n);
    % === find initial centers
    [FcmU, FcmCenter] = stepfcm(data, FcmU, cluster_n, expo);
    center_prev = FcmCenter;
    U_prev = FcmU;
    % === Graphic handles for traj and head 
    headH = line(ones(2,1)*FcmCenter(:,1)', ones(2,1)*FcmCenter(:,2)',...
        'erase', 'none', 'LineStyle', 'none', 'Marker', '.', ...
        'markersize', 30, 'tag', 'headH');
    trajH = line(zeros(2,cluster_n), zeros(2,cluster_n), ...
        'erase', 'none', 'linewidth', 3, ...
        'tag', 'trajH');
    % === array for objective function 
    err = zeros(max_iter, 1);

    for i = 1:max_iter,
        [FcmU, FcmCenter, err(i)] = stepfcm( ...
            data, U_prev, cluster_n, expo);
        %fprintf('Iteration count = %d, obj. fcn = %f\n', i, err(i));
        % === label each data if necessary
        eval([mfilename, '(''label_data'')']);
        % === check ternimation invoked from GUI
        if findobj(FcmFigH, 'string', 'START')
            break;
        end
        tempusdt=get(findobj(FcmFigH, 'string', 'Close'), 'userdata');
        if ~isempty(tempusdt)&(tempusdt == 1),
            break;
        end
        % === check normal termination condition
        if i > 1,
            if abs(err(i) - err(i-1)) < min_eps, break; end,

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