用matlab写熵权法代码

下面是使用 Matlab 实现熵权法的代码：

function [weights] = entropy_weight(data)

% 计算每个指标的熵值
[row, col] = size(data); 
p = data ./ repmat(sum(data, 1), row, 1); % 每个指标占比
ent = -p .* log(p); % 熵值
ent(isnan(ent)) = 0; % 处理 0*log(0) 的情况
ent = sum(ent);

% 计算每个指标的权重
weights = (1 - ent) ./ sum(1 - ent); 
end

其中，`data` 参数是一个 $m \times n$ 的矩阵，表示有 $n$ 个指标和 $m$ 个样本数据，函数返回每个指标的权重值。具体实现中，首先计算每个指标的熵值，然后根据熵值计算每个指标的权重，最后返回这些权重。

相关问题

matlab做熵权法代码

以下是matlab实现熵权法的代码：

function [w] = entropy_weight(x)
% x: n*m matrix, n is the number of alternatives, m is the number of attributes
% w: n*1 vector, the weight of each alternative

[n, m] = size(x);
% calculate the entropy of each attribute
e = -sum(x.*log(x), 1);
e = e/sum(e);

% calculate the weight of each alternative
w = zeros(n,1);
for i = 1:n
    w(i) = exp(-sum(x(i,:).*log(x(i,:)), 2));
end
w = w/sum(w);

% adjust the weight by the entropy of each attribute
for j = 1:m
    w = w.*exp(-x(:,j).*e(j));
end
w = w/sum(w);

end

使用方法示例：

% generate a random matrix
x = rand(5,3);
% calculate the weight using entropy weight method
w = entropy_weight(x);

matlab熵权法代码

以下是MATLAB中使用熵权法进行计算的示例代码：

%% 归一化
[i,j = size(R); % 输入矩阵的大小，i为对象个数，j为指标个数
n = i;
m = j;
k = 1/log(i); % 求k

Rmin = min(R);
R1 = Rmin;
Rmax = max(R);
R2 = Rmax;
A = max(R) - min(R); % 正向指标

y = repmat(A, n, 1); % repmat(A,a,1) a需要根据矩阵自行修改，等于备选个数
y2 = repmat(Rmin, n, 1); % repmat(Rmin,a,1) a需要根据矩阵自行修改，等于备选个数
y3 = 1./y;
x = (R-y2).*y3;

%% 求各指标的信息熵
S1 = sum(x);
S2 = repmat(sum(x), n, 1); % repmat(sum(x),a,1) a需要根据矩阵自行修改，等于备选个数

pij = x./S2;
lnpij = zeros(n, m);
for i = 1:n
    for j = 1:m
        if pij(i,j) == 0
            lnpij(i,j) = 0;
        else
            lnpij(i,j) = log(pij(i,j));
        end
    end
end

ej = -k*(sum(pij.*lnpij, 1)); % 计算熵值

希望这段代码能够帮助您进行MATLAB中熵权法的计算。请注意，代码中的变量R表示输入矩阵，您需要根据实际情况进行相应的调整和修改。<span class="em">1</span><span class="em">2</span><span class="em">3</span>
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