Simultaneous Application of Fuzzy Clustering and Quantification with Incomplete Categorical Data

Journal of Advanced Computational Intelligence and Intelligent Informatics

Volumn 8, Issue 4, 2004, Pages 397-402

  Honda, Katsuhiro ^a   Nakamura, Yoshihito ^a   Ichihashi, Hidetomo ^a  

^a Osaka Prefecture University   (Japan)

Author keywords

fuzzy clustering; homogeneity analysis; missing value

Indexed keywords

NUMERICAL METHODS; PRINCIPAL COMPONENT ANALYSIS;

CATEGORICAL DATA; FUZZY QUANTIFICATION; HOMOGENEITY ANALYSIS; INCOMPLETE DATA; LEAST SQUARE CRITERION; LINEAR FUZZY CLUSTERING; LOSS FUNCTIONS; MISSING VALUES; OBJECTIVE FUNCTIONS; PRINCIPAL-COMPONENT ANALYSIS;

FUZZY CLUSTERING;

EID: 11244275266     PISSN: 13430130     EISSN: 18838014     Source Type: Journal    
DOI: 10.20965/jaciii.2004.p0397     Document Type: Article

References (10)

1. J. C. Bezdek, “Pattern Recognition with Fuzzy Objective Function Algorithms,” Plenum Press, 1981.
2. J. C. Bezdek, C. Coray, R. Gunderson, and J. Watson, “Detection and characterization of cluster substructure 2. fuzzy c-varieties and convex combinations thereof,” SIAM J. Appl. Math., Vol.40, No.2, pp. 358-372, 1981.
3. K. Honda, N. Sugiura, H. Ichihashi, and S. Araki, “Collaborative filtering using principal component analysis and fuzzy clustering,” Web Intelligence: Research and Development, Lecture Notes in Artificial Intelligence 2198, Springer, pp. 394-402, 2001.
4. K. Honda, and H. Ichihashi, “Linear fuzzy clustering techniques with missing values and their application to local principal component analysis”, IEEE Trans. on Fuzzy Systems, Vol.12, No.2, pp. 183-193, 2004.
5. A. Gifi, “Nonlinear Multivariate Analysis,” Wiley, 1990.
6. J. Bond, and G. Michailidis, “Homogeneity analysis in Lisp-Stat,” Journal of Statistical Software, Vol.1, Issue 2, 1996.
7. Y. Yabuuchi, and J. Watada, “Fuzzy principal component analysis and its application,” Biomedical Fuzzy and Human Sciences, Vol.3, pp. 83-92, 1997.
8. S. Miyamoto, and M. Mukaidono, “Fuzzy c-means as a regularization and maximum entropy approach,” Proc. of the 7th International Fuzzy Systems Association World Congress, Vol.2, pp. 86-92, 1997.
9. F. Höppner, F. Klawonn, R. Kruse, and T. Runkler, “Fuzzy Cluster Analysis,” John Wiley & Sons, 1999.
10. T. Tsuchiya, “A quantification method for classification of variables,” The Japanese Journal of Behaviormetrics, Vol.22, No.2, pp. 95-109, 1995 (in Japanese).