topsis.txt

topsis 算法的matlab实现代码

%topsis 算法
x=[1.9685 23.2558 11.4943;
    0.500 20.4082 13.8889;
    1.4006 40.0000 20;
    1.0152 27.0270 37.0370;
    9.8039 41.6667 333.3333];
[m,n]=size(x);
a=zeros(m,n);
pingfanghe=zeros(n,1);
%求列平方和
for j=1:n
    for i=1:m
        pingfanghe(j)=pingfanghe(j)+x(i,j)^2;
    end
end
%归一化
for i=1:m
    for j=1:n
        a(i,j)=x(i,j)/sqrt(pingfanghe(j));
    end
end

%最优方案、最劣方案
zuiyou=zeros(1,n);
zuilie=zeros(1,n);
for j=1:n
    zuiyou(j)=max(a(:,j));
    zuilie(j)=min(a(:,j));
end

%评价对象所有指标值与最优、最劣距离
 Dzuiyou=zeros(1,m);
 Dzuilie=zeros(1,m);
 for i=1:m
     for j=1:n
         Dzuiyou(i)=(zuiyou(j)-a(i,j))^2+Dzuiyou(i);
         Dzuilie(i)=(zuilie(j)-a(i,j))^2+Dzuilie(i);
     end
 end
 for i=1:m
     Dzuiyou(i)=sqrt(Dzuiyou(i));
     Dzuilie(i)=sqrt(Dzuilie(i));
 end
 
 %接近程度
 c=zeros(1,m);
 for i=1:m
     c(i)=Dzuilie(i)/(Dzuiyou(i)+Dzuilie(i));
 end
 
 %排序
 
 c