dsmt.m

DSmT证据推理的组合公式计算函数

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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
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function M=DSmT(e1,e2)
%   calculate the rule of combination in DSmT, the format is:
%   M=DSmT(e1,e2)
%   e1,e2: evidences to be combined,they are all vectors for a  column.
%   M: output combined basic belief assignments for a  column,it have 5
%   elements for two  class and 18 elements for three class. 
% Interpretion:
%   The function can only calculate two or three classes for the Frame
%   within DSmT.If the Frame have two elements,  they are denoted in 
%   Theta={A,B},and if it  have three elements,the Theta={A,B,C}. Then the
%   D^Theta={0,A&B,A,B,A|B}  for  two dimensions .  Then the rule of
%   combination 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(e1);
%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
     Transfer=[0,0,0,0,0;
               0,e1(2)+e1(3)+e1(4)+e1(5),e1(2)+e1(4),e1(2)+e1(3),e1(2);
               0,0,e1(3)+e1(5),0,e1(3);
               0,0,0,e1(4)+e1(5),e1(4);
               0,0,0,0,e1(5)];
     M=Transfer*e2;
     M=M./sum(M);
 end
 if class==3    
     Transfer=[sum(e1),e1(1)+e1(3)+e1(4)+e1(5)+e1(11),e1(1)+e1(2)+e1(4)+e1(6)+e1(10),e1(1)+e1(2)+e1(3)+e1(7)+e1(9),e1(1)+e1(2),e1(1)+e1(3),e1(1)+e1(4),e1(1),e1(1)+e1(4),e1(1)+e1(3),e1(1)+e1(2),e1(1),e1(1),e1(1),e1(1),e1(1),e1(1),e1(1);
               0,sum(e1)-(e1(1)+e1(3)+e1(4)+e1(5)+e1(11)),0,0,0,e1(2)+e1(7)+e1(9),e1(2)+e1(6)+e1(10),e1(2),e1(2)+e1(6)+e1(10),e1(2)+e1(7)+e1(9),0,e1(2),e1(2),e1(2),e1(2),e1(2),e1(2),e1(2);
               0,0,sum(e1)-(e1(1)+e1(2)+e1(4)+e1(6)+e1(10)),0,e1(3)+e1(7)+e1(9),0,e1(3)+e1(5)+e1(11),e1(3),e1(3)+e1(5)+e1(11),0,e1(3)+e1(7)+e1(9),e1(3),e1(3),e1(3),e1(3),e1(3),e1(3),e1(3);
               0,0,0,sum(e1)-(e1(1)+e1(2)+e1(3)+e1(7)+e1(9)),e1(4)+e1(6)+e1(10),e1(4)+e1(5)+e1(11),0,e1(4),0,e1(4)+e1(5)+e1(11),e1(4)+e1(6)+e1(10),e1(4),e1(4),e1(4),e1(4),e1(4),e1(4),e1(4);
               0,0,0,0,e1(5)+e1(8)+e1(11)+e1(12)+e1(13)+e1(14)+e1(15)+e1(16)+e1(17)+e1(18),0,0,e1(5)+e1(11),0,0,e1(5)+e1(8)+e1(13)+e1(14)+e1(15),e1(5),e1(5)+e1(11),e1(5)+e1(11),e1(5)+e1(11),e1(5),e1(5),e1(5);
               0,0,0,0,0,e1(6)+e1(8)+e1(10)+e1(12)+e1(13)+e1(14)+e1(15)+e1(16)+e1(17)+e1(18),0,e1(6)+e1(10),0,e1(6)+e1(8)+e1(12)+e1(14)+e1(16),0,e1(6)+e1(10),e1(6),e1(6)+e1(10),e1(6),e1(6)+e1(10),e1(6),e1(6);
               0,0,0,0,0,0,e1(7)+e1(8)+e1(9)+e1(12)+e1(13)+e1(14)+e1(15)+e1(16)+e1(17)+e1(18),e1(7)+e1(9),e1(7)+e1(8)+e1(12)+e1(13)+e1(17),0,0,e1(7)+e1(9),e1(7)+e1(9),e1(7),e1(7),e1(7),e1(7)+e1(9),e1(7);
               0,0,0,0,0,0,0,e1(8)+e1(12)+e1(13)+e1(14)+e1(15)+e1(16)+e1(17)+e1(18),0,0,0,e1(8)+e1(13)+e1(14)+e1(15),e1(8)+e1(12)+e1(14)+e1(16),e1(8)+e1(12)+e1(13)+e1(17),e1(8)+e1(12),e1(8)+e1(13),e1(8)+e1(14),e1(8);
               0,0,0,0,0,0,0,0,e1(9)+e1(14)+e1(15)+e1(16)+e1(18),0,0,0,0,e1(9),e1(9),e1(9),0,e1(9);
               0,0,0,0,0,0,0,0,0,e1(10)+e1(13)+e1(15)+e1(17)+e1(18),0,0,e1(10),0,e1(10),0,e1(10),e1(10);
               0,0,0,0,0,0,0,0,0,0,e1(11)+e1(12)+e1(16)+e1(17)+e1(18),e1(11),0,0,0,e1(11),e1(11),e1(11);
               0,0,0,0,0,0,0,0,0,0,0,e1(12)+e1(16)+e1(17)+e1(18),0,0,0,e1(12)+e1(17),e1(12)+e1(16),e1(12);
               0,0,0,0,0,0,0,0,0,0,0,0,e1(13)+e1(15)+e1(17)+e1(18),0,e1(13)+e1(17),0,e1(13)+e1(15),e1(13);
               0,0,0,0,0,0,0,0,0,0,0,0,0,e1(14)+e1(15)+e1(16)+e1(18),e1(14)+e1(16),e1(14)+e1(15),0,e1(14);
               0,0,0,0,0,0,0,0,0,0,0,0,0,0,e1(15)+e1(18),0,0,e1(15);
               0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,e1(16)+e1(18),0,e1(16);
               0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,e1(17)+e1(18),e1(17);
               0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,e1(18);           
              ]; 
      M=Transfer*e2;
      M=M./sum(M);
 end