我需要直觉模糊聚类算法的Python代码
时间: 2023-03-01 20:10:37 浏览: 71
您好!以下是一个简单的直觉模糊聚类算法的 Python 代码:
```
import numpy as np
def init_membership_matrix(data, c, m):
"""
Initialize the membership matrix.
"""
membership_matrix = np.random.rand(data.shape[0], c)
membership_matrix = membership_matrix / membership_matrix.sum(axis=1).reshape(-1, 1)
return membership_matrix
def calculate_cluster_centers(data, membership_matrix, m):
"""
Calculate the cluster centers.
"""
cluster_centers = np.dot(membership_matrix.T, data)
cluster_centers = cluster_centers / np.array([membership_matrix.sum(axis=0)]).T
return cluster_centers
def calculate_distance(data, cluster_centers):
"""
Calculate the distance between each data point and each cluster center.
"""
distance = np.zeros((data.shape[0], cluster_centers.shape[0]))
for i in range(cluster_centers.shape[0]):
diff = data - cluster_centers[i]
sq_diff = np.square(diff)
sq_dist = np.sum(sq_diff, axis=1)
distance[:, i] = np.power(sq_dist, 1/(m-1))
return distance
def update_membership_matrix(distance, m):
"""
Update the membership matrix.
"""
membership_matrix = np.power(distance, -2/(m-1))
membership_matrix = membership_matrix / np.array([membership_matrix.sum(axis=1)]).T
return membership_matrix
def fuzzy_c_means(data, c, m, max_iter=100, epsilon=0.001):
"""
Perform fuzzy C-means clustering.
"""
membership_matrix = init_membership_matrix(data, c, m)
for i in range(max_iter):
cluster_centers = calculate_cluster_centers(data, membership_matrix, m)
distance = calculate_distance(data, cluster_centers)
new_membership_matrix = update_membership_matrix(distance, m)
error = np.abs(new_membership_matrix - membership_matrix).sum()
if error < epsilon:
break
membership_matrix = new_membership_matrix
return membership_matrix, cluster_centers
```
希望这份代码能帮助您!