Generalized Fuzzy c-Means Clustering and its Property of Fuzzy Classification Function

被引:8
|
作者
Kanzawa, Yuchi [1 ]
Miyamoto, Sadaaki [2 ]
机构
[1] Shibaura Inst Technol, Koto Ku, 3-7-5 Toyosu, Tokyo 1358548, Japan
[2] Univ Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 3058573, Japan
关键词
fuzzy c-means clustering; fuzzy classification function; MAXIMIZING MODEL; ALGORITHMS;
D O I
10.20965/jaciii.2021.p0073
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This study shows that a generalized fuzzy c-means (gFCM) clustering algorithm, which covers both standard and exponential fuzzy c-means clustering, can be constructed if a given fuzzified function, its derivative, and its inverse derivative can be calculated. Furthermore, our results show that the fuzzy classification function for gFCM exhibits a behavior similar to that of both standard and exponential fuzzy c-means clustering.
引用
收藏
页码:73 / 82
页数:10
相关论文
共 50 条
  • [21] AN IMPROVED CLUSTERING VALIDITY FUNCTION FOR THE FUZZY C-MEANS ALGORITHM
    Tang, Minghui
    Yang, Yan
    Zhang, Wenbin
    INTELLIGENT DECISION MAKING SYSTEMS, VOL. 2, 2010, : 209 - +
  • [22] Generalized fuzzy c-means algorithms
    Karayiannis, NB
    FUZZ-IEEE '96 - PROCEEDINGS OF THE FIFTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, 1996, : 1036 - 1042
  • [23] Fuzzy C-Means Clustering Using Asymmetric Loss Function
    Atiyah, Israa Abdzaid
    Mohammadpour, Adel
    Ahmadzadehgoli, Narges
    Taheri, S. Mahmoud
    JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2020, 19 (01): : 91 - 101
  • [24] Fuzzy C-Means Clustering Using Asymmetric Loss Function
    Israa Abdzaid Atiyah
    Adel Mohammadpour
    Narges Ahmadzadehgoli
    S. Mahmoud Taheri
    Journal of Statistical Theory and Applications, 2020, 19 : 91 - 101
  • [25] A New Clustering Validity Function for the Fuzzy C-means Algorithm
    Wang, Jiesheng
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 2477 - 2480
  • [26] Generalized multiplicative fuzzy possibilistic product partition C-means clustering
    Wu C.
    Li M.
    Information Sciences, 2024, 670
  • [27] An Improved Generalized Fuzzy C-Means Clustering Algorithm Based on GA
    Ma, Wenping
    Ge, Xiaohua
    Jiao, Licheng
    INTELLIGENT SCIENCE AND INTELLIGENT DATA ENGINEERING, ISCIDE 2011, 2012, 7202 : 599 - 606
  • [28] Measuring the congruence of fuzzy partitions in fuzzy c-means clustering
    Suleman, Abdul
    APPLIED SOFT COMPUTING, 2017, 52 : 1285 - 1295
  • [29] A weighted fuzzy c-means clustering model for fuzzy data
    D'Urso, P
    Giordani, P
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2006, 50 (06) : 1496 - 1523