A multivariate fuzzy c-means method

Applied Soft Computing Journal

Volumn 13, Issue 4, 2013, Pages 1592-1607

  Pimentel, Bruno A ^a   De Souza, Renata M C R ^a  

^a Centro de Informatica   (Brazil)

Author keywords

Clustering; Fuzzy c means method; Membership degree; Unsupervised pattern recognition

Indexed keywords

CLUSTERING; FUZZY C MEAN (FCMS); FUZZY C-MEANS CLUSTERING ALGORITHMS; FUZZY C-MEANS METHODS; FUZZY PARTITION; INPUT DATAS; MEMBERSHIP DEGREES; MEMBERSHIP MATRIX; MEMBERSHIP VALUES; NEW APPROACHES; PARTITIONING ALGORITHMS; QUALITY OF CLUSTERING; SYNTHETIC AND REAL DATA; UNSUPERVISED PATTERNS;

CLUSTERING ALGORITHMS; FUZZY CLUSTERING; FUZZY SYSTEMS; PATTERN RECOGNITION;

ITERATIVE METHODS;

EID: 84873687895     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2012.12.024     Document Type: Article

References (39)

1. A.K. Jain, M.N. Murty, and P.J. Flynn Data clustering: a review ACM Computing Surveys 31 3 1999 264 323
2. R.O. Duda, P.E. Hart, and D.G. Stork Pattern Classification 2001 John Wiely and Sons New York
3. G. Ma Gan, and C.J. Wu Data Clustering Theory, Algorithms, and Applications 2007 Siam
4. J.C. Bezdek Pattern Recognition with Fuzzy Objective Function Algorithms 1981 Plenum Press New York
5. R. Xu, and D.I.I. Wunsch Survey of clustering algorithms IEEE Transactions on Neural Networks 2005 645 678 (Pubitemid 40718010)
6. L.A. Zadeh Fuzzy Sets Information and Control 8 3 1965 338 353
7. E.H. Ruspini A new approach to clustering Information and Control 15 1969 22 32
8. M.-S. Yang A Survey of Fuzzy Clustering Mathematical and Computer Modelling 18 11 1993 1 16
9. C.-W. Chen Stability conditions of fuzzy systems and its application to structural and mechanical systems Advances in Engineering Software 37 2006 624 629 (Pubitemid 44093260)
10. S. Termini On Some "family resemblances" of fuzzy set theory and human sciences Soft Computing in Humanities and Social Sciences 273 2012 39 54
11. B.K. Wong, and V.S. Lai A survey of the application of fuzzy set theory in production and operations management: 1998-2009 International Journal Production Economics 129 2011 157 168
12. R.-J. Kuo, Y.-H. Wu, and T.-S. Hsu Integration of fuzzy set theory and TOPSIS into HFMEA to improve outpatient service for elderly patients in Taiwan Journal of the Chinese Medical Association 75 2012 341 348
13. H. Izakian, and A. Abraham Fuzzy, c-means and fuzzy swarm for fuzzy clustering problem Expert Systems with Applications 38 3 2011 1835 1838
14. R.J. Hathaway, J.C. Bezdek, and Y. Hu Generalized fuzzy c-means clustering strategies using Lp norm distance IEEE Transactions on Fuzzy Systems 8 5 2000 572 576
15. K. Jajuga L1-norm based fuzzy clustering Fuzzy Sets and Systems 39 2001 63 83
16. P.J.F. Groenen, and K. Jajuga Fuzzy clustering with squared Minkowsky distances Fuzzy Sets and Systems 120 2001 227 237 (Pubitemid 32407899)
17. C.-H. Oh, K. Honda, and H. Ichihashi Fuzzy clustering for categorical multivariate data Joint Ninth IFSA World Congress and Twentieth, NAFIPS International Conf., vol. 4 2001 2154 2159
18. K.-L. Wu, and M.-S. Yang Alternative c-means clustering algorithms Pattern Recognition 35 2002 2267 2278 (Pubitemid 34812877)
19. D.-Q. Zhang, and S.-C. Chen Kernel-Based Fuzzy and Possibilistic c-Means Clustering Proc. ICANN Istanbul, Turkey 2003 122 125
20. K. Kummamuru, A. Dhawale, and R. Krishnapuram Fuzzy co-clustering of documents and keywords Twelfth IEEE International Conf. on Fuzzy Systems, 2 2003 772 777
21. N.R. Pal, K. Pal, J.M. Keller, and J.C. Bezdek A possibilistic fuzzy c-means clustering algorithm IEEE Transactions on Fuzzy Systems 13 4 2005 517 530 (Pubitemid 41461446)
22. F.A.T. De Carvalho, C.P. Tenorio, and N.L.C. Junior Partitional fuzzy clustering methods based on adaptive quadratic distances Fuzzy Sets and Systems 157 2006 2833 2857 (Pubitemid 44436590)
23. J. Liu, and Meizhi Xu Kernelized fuzzy attribute c-means clustering algorithm Fuzzy Sets and Systems 159 2008 2428 2445
24. C.-W. Chen The stability of an oceanic structure with T-S fuzzy models Mathematics and Computers in Simulation 80 2 2009 402 426
25. C.Y. Chen, J.W. Lin, W.I. Lee, and C.W. Chen Fuzzy control for an oceanic structure: a case study in time-delay TLP system Journal of Vibration and Control 16 1 2010 147 160
26. C.W. Chen Modeling and fuzzy PDC control and its application to an oscillatory TLP structure Mathematical Problems in Engineering 2010 an open access
27. K. Yeh, and C.W. Chen Stability analysis of interconnected fuzzy systems using the fuzzy Lyapunov method Mathematical Problems in Engineering 2010 an open access journal
28. C.W. Chen Application of fuzzy-model-based control to nonlinear structural systems with time delay: an LMI method Journal of Vibration and Control 16 2010 1651 1672
29. C. Tang, S. Wang, and W. Xu New fuzzy c-means clustering model based on the data weighted approach Data and Knowledge Engineering 69 9 2010 881 900
30. J.-P. Mei, and L. Chen Fuzzy clustering with weighted medoids for relational data Pattern Recognition 43 5 2010 1964 1974
31. J.-P. Mei, and L. Chen Fuzzy relational clustering around methods: a unified view Fuzzy Sets and Systems 183 2011 44 56
32. J. Yu, Q. Cheng, and H. Huang Analysis of the weighting exponent in the FCM IEEE Transactions on Systems, Man, and Cybernetics-Part B 34 2004 634 639
33. K.-L. Wu Analysis of parameter selections for fuzzy c-means Pattern Recognition 45 2012 407 415
34. D.E. Gustafson, and W.C. Kessel Fuzzy clustering with a fuzzy covariance matrix Proc. IEEE CDC 1979 761 766
35. C.L. Blake, C.J. Merz, UCI repository of machine learning databases, University of California, Department of Information and Computer Science, Irvine, CA (accessed August, 2011).
36. E. Egrioglu, C.H. Aladag, U. Yolcu, V.R. Uslu, and N.A. Erilli Fuzzy time series forecasting method based on Gustafson-Kessel fuzzy clustering Expert Systems with Applications 38 2011 10355 10357
37. D. Dovan, and I. Škrjanc Recursive clustering based on a Gustafson-Kessel algorithm Evolving Systems 2 1 2011 15 24
38. L. Hubert, and P. Arabie Comparing partitions Journal of Classification 2 1985 193 218
39. R.J.G.B. Campello A fuzzy extension of the Rand index and other related indexes for clustering and classification assessment Pattern Recognition Letters 28 7 2007 833 841 (Pubitemid 46290586)