the fuzzy compactness and separation (FCS),MATLAB代码
91浏览 · 2024-02-26 10:58:24
以下是FCS[算法](https://geek.csdn.net/educolumn/2354e3486d804fe718dd230739581535?spm=1055.2569.3001.10083)的MATLAB[代码](https://geek.csdn.net/educolumn/1572ef9b473b4e00f6b2bf6d428b7c27?spm=1055.2569.3001.10083)示例：
```matlab
% 生成示例数据集
X = [randn(100,2)*0.75+ones(100,2);
randn(100,2)*0.5-ones(100,2)];
% 设置FCS[算法](https://geek.csdn.net/educolumn/2354e3486d804fe718dd230739581535?spm=1055.2569.3001.10083)参数
num_clusters = 2; % 聚类数
fuzzifier = 1.2; % 模糊因子
max_iter = 100; % 最大[迭代](https://geek.csdn.net/educolumn/0b788626ca95a378c56d60cb2acd8f0b?spm=1055.2569.3001.10083)次数
tol = 1e-5; % 收敛阈值
% 初始化隶属度矩阵U
U = rand(size(X,1),num_clusters);
U = bsxfun(@rdivide,U,sum(U,2));
% [迭代](https://geek.csdn.net/educolumn/0b788626ca95a378c56d60cb2acd8f0b?spm=1055.2569.3001.10083)计算聚类中心和隶属度矩阵U
iter = 1;
while iter <= max_iter
% 计算聚类中心
C = bsxfun(@rdivide,X'*U,sum(U,1)');
% 计算隶属度矩阵U
dist = pdist2(X,C).^2;
U_new = 1./(dist./fuzzifier+1);
U_new = bsxfun(@rdivide,U_new,sum(U_new,2));
% 判断是否收敛
if norm(U_new-U,'fro') < tol
break;
% 更新隶属度矩阵U
U = U_new;
iter = iter + 1;
% 绘制聚类结果
[~,labels] = max(U,[],2);
scatt