Study on membership function deduced from FCM algorithm

doi:10.3778/j.issn.1002-8331.2008.32.038

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (32): 129-131.DOI: 10.3778/j.issn.1002-8331.2008.32.038

• 数据库、信号与信息处理 • Previous Articles Next Articles

Study on membership function deduced from FCM algorithm

LI Chun-fang^1,3,LIU Lian-zhong²,LU Zhen¹

1.School of Automation and Electrical Engineering，Beihang University，Beijing 100083，China
2.School of Computer，Beihang University，Beijing 100083，China
3.Network Center，Hebei Institute of Physical Education，Shijiazhuang 050041，China

Received:2007-12-10 Revised:2008-03-06 Online:2008-11-11 Published:2008-11-11
Contact: LI Chun-fang

一种由FCM算法推导出的隶属函数研究

李春芳^1,3,刘连忠²,陆震¹

1.北京航空航天大学自动化科学与电气工程学院，北京 100083
2.北京航空航天大学计算机学院，北京 100083
3.河北体育学院网络中心，石家庄 050041

通讯作者: 李春芳

Abstract

Abstract: Analyzed the diversification of membership function of FCM algorithm when fuzzy exponent m→1⁺ and m→∞，and proposed a membership function with fuzzy exponent m，which has two features：（1）the sum of memberships for one point to all patterns equals 1；（2）m controls the fuzzy degree.A contrastive experiment with Iris illustrated the conclusion in model method.

Key words: clustering, Fuzzy C-Means（FCM） algorithm, membership function, fuzzy exponent

摘要： 分析了Fuzzy C-Means算法中模糊指标m→1⁺和m→∞对隶属函数的模糊控制作用，据此提出一种带模糊指标的隶属函数，具有性质：（1）一个数据点对各个模式的隶属度和为1；（2）模糊指标m控制模糊程度。使用Iris数据集对样板法中新旧两种隶属函数做了实验对比。

关键词: 聚类, FCM算法, 隶属函数, 模糊指标

LI Chun-fang^1,3,LIU Lian-zhong²,LU Zhen¹. Study on membership function deduced from FCM algorithm[J]. Computer Engineering and Applications, 2008, 44(32): 129-131.

李春芳^1,3,刘连忠²,陆震¹. 一种由FCM算法推导出的隶属函数研究[J]. 计算机工程与应用, 2008, 44(32): 129-131.

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Study on membership function deduced from FCM algorithm

一种由FCM算法推导出的隶属函数研究

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