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Matlab analytic hierarchy process to quickly calculate the weight

2022-04-23 20:20:00 【Install a sound 77】

Analytic hierarchy process (AHP) is a very useful decision algorithm

Although the content is equal to patting the head , But sometimes we just need to find the right way to pat our heads .

Although it is often used to solve the problem of multi-objective selection , But we can also analyze the factors , Get a factor weight .

Of course, the weight of each factor , An evaluation matrix needs to be established （ That is, pat your head ）

This paragraph matlab The code immediately uses the evaluation matrix to calculate the content of weight , It is equivalent to the first half of the goal decision , Very simple and practical .

% Analytic hierarchy process 
A=[1 1/4 1/2 1/3 1/9;4 1 3 2 1/4;2 1/3 1 1/2 1/7;3 1/2 2 1 1/5;9 4 7 5 1];
[n,n]=size(A);
x=ones(n,100);
y=ones(n,100);
m=zeros(1,100);
m(1)=max(x(:,1))
y(:,1)=x(:,1);
x(:,2)=A*y(:,1);
m(2)=max(x(:,2))
y(:,2)=x(:,2)/m(2);
p=0.0001;i=2;k=abs(m(2)-m(1));
while k>p
i=i+1;
x(:,i)=A*y(:,i-1);
m(i)=max(x(:,i));
y(:,i)=x(:,i)/m(i);
k=abs(m(i)-m(i-1));
end
a=sum(y(:,i));
31
w=y(:,i)/a;
t=m(i)
disp(w)
[v,d]=eig(A);
r=d(1,1);
CI=(r-n)/(n-1);
RI=[0 0 0.58 0.9 1012 1.24 1.32 1.41 1.45]
CR=CI/RI(n)
if CR<0.1
CR_result=' adopt '
else
CR_result=' Not through '
end
disp('CR_result')

 

 

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