A Fuzzy Clustering Algorithm with Generalized Entropy Based on Neural Network

doi:10.3969/j.issn.0372-2112.2016.08.016

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A Fuzzy Clustering Algorithm with Generalized Entropy Based on Neural Network

更新时间：2025-07-08

- A Fuzzy Clustering Algorithm with Generalized Entropy Based on Neural Network
- Acta Electronica Sinica Vol. 44, Issue 8, Pages: 1881-1886(2016)
- 作者机构：
  
  河北大学计算机科学与技术学院,河北,保定,071000
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61375075)
- DOI：10.3969/j.issn.0372-2112.2016.08.016
  CLC： TP18
- Published Online：25 August 2016，
  
  Published：2016
- 稿件说明：
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A Fuzzy Clustering Algorithm with Generalized Entropy Based on Neural Network[J]. Acta Electronica Sinica, 2016, 44(8): 1881-1886.
DOI：

A Fuzzy Clustering Algorithm with Generalized Entropy Based on Neural Network[J]. Acta Electronica Sinica, 2016, 44(8): 1881-1886. DOI： 10.3969/j.issn.0372-2112.2016.08.016.

摘要

以模糊聚类为基础，将广义熵引入到模糊聚类的目标函数中，提出一种基于模糊熵的模糊聚类的统一形式，即广义熵模糊聚类模型；利用增广拉格朗日求解方法，以及Hopfield神经网络和复突触神经网络解决了基于广义熵的目标函数的优化问题，提出了基于神经网络的广义熵模糊聚类算法，表明了使用神经网络求解的收敛性；同时，给出一种用于确定增广拉格朗日乘子的迭代方法.实验中选取人工生成数据集和UCI标准数据集对提出的算法进行了实验研究，并与常用的聚类算法进行了性能比较.

Abstract

Based on fuzzy clustering

an unified form is presented for fuzzy clustering algorithm based on fuzzy entropy by introducing the generalized fuzzy entropy into objective function of fuzzy clustering

namely generalized entropy's fuzzy clustering model.Optimization problem for generalized entropy's objective function is solved using Hopfield neural network and multiple synapses based on augmented Lagrange method.After that

the generalized entropy's fuzzy clustering algorithm based on neural network is presented.And convergence of neural network is shown.At the same time

iterative method is given to determine Lagrange multipliers.In experiments

a synthetic data set and some standard UCI data sets are chosen to conduct some experimental studies.And clustering performance is compared with commonly used clustering algorithms.

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