beldsmt.m

DSmT证据推理的置信函数（bel）的计算函数

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%   The coryright belongs to Yang Yang,Automation Institute,NPU,710072
%   Xi'an, China      
%   EDITION NUMBER: 1.0
%   Contract me : E-mail [e-mail] ,
%                 Mobile : [phone],
%                 Home :   029-82375332
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

function Bel=BelDSmT(mass)
%   calculate the Belief Function from gbba m(.) in DSmT, the format is:
%   Bel=BelDSmT(mass)
%   mass: mass function,it is a vector for a  column.It have 5 elements
%        for two  class and 18 elements for three class ,the size is n*1.
%   Bel: output the Belief Function from gbba m(.),it have 5 elements
%        for two  class and 18 elements for three class ,the size is n*1.
% Interpretion:
%   The function can only calculate two or three classes for the Frame
%   within DSmT.If the Frame have 5 elements,  they are denoted in
%   Theta={A,B},and if it  have 18 elements,the Theta={A,B,C}. Then the
%   D^Theta={0,A&B,A,B,A|B} for  two dimensions .  Then the Belief Function
%   from gbba m(.) in DSmT can be calculate in matrix .   

%   Note that the order of e1 and e2 must be set in the order of D^Theta. 
%   Other Noting ,it has eighteen elements in the D^Theta for three
%   class,and it do not have the first 0 in the code  order for belief
%   representation,you know that it should have nineteen elements in it.You
%   should see my document for  the order of three class in D^Theta.

%   Do not hesitate to contract  me ,if you have any question.

[row,col]=size(mass);
%Judge the classes of the Frame
if row==5
    class=2;
    elseif row==18
            class=3;
    else disp(['The class number of the Frame is not two or three,the function can not be calculated']);
            return;         
end

if class==2
    Bel=[1,0,0,0,0;
         1,1,0,0,0;
         1,1,1,0,0;
         1,1,0,1,0;
         1,1,1,1,1;]*mass;
end
if class==3
    Bel=[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;
         1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;
         1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;
         1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0;
         1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0;
         1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0;
         1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0;
         1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0;
         1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0;
         1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0;
         1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0;
         1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0;
         1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0;
         1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0;
         1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0;
         1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0;
         1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,1,0;
         1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1;         
         ]*mass;
     end