Shadowed c-means: Integrating fuzzy and rough clustering

Pattern Recognition

Volumn 43, Issue 4, 2010, Pages 1282-1291

  Mitra, Sushmita ^a   Pedrycz, Witold ^b   Barman, Bishal ^c  

^a INDIAN STATISTICAL INSTITUTE   (India)

^b UNIVERSITY OF ALBERTA   (Canada)

^c SARDAR VALLABHBHAI NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

c Means algorithm; Cluster validity index; Fuzzy sets; Rough sets; Shadowed sets; Three valued logic

Indexed keywords

C-MEANS ALGORITHMS; CLUSTER VALIDITY INDEX; CLUSTER VALIDITY INDICES; ROUGH SET; SHADOWED SETS; THREE-VALUED LOGIC;

FUZZY CLUSTERING; FUZZY SETS; ROUGH SET THEORY; UNCERTAINTY ANALYSIS;

CLUSTERING ALGORITHMS;

EID: 74449092532     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2009.09.029     Document Type: Article

References (20)

1. Bezdek J.C. Pattern Recognition with Fuzzy Objective Function Algorithms (1981), Plenum Press, New York
2. Bezdek J.C., and Pal N.R. Some new indexes for cluster validity. IEEE Transactions on Systems, Man, and Cybernetics-Part B 28 (1998) 301-315
3. Cattaneo G., and Ciucci D. An algebraic approach to shadowed sets. Electronic Notes in Theoretical Computer Science 82 (2003) 64-75
4. Huang Z. Extensions to the k-means algorithm for clustering large data sets with categorical values. Data Mining and Knowledge Discovery 2 (1998) 283-304
5. Kaufman L., and Rousseeuw P.J. Finding Groups in Data: An Introduction to Cluster Analysis (1990), Wiley, New York
6. Krishnapuram R., and Keller J.M. A possibilistic approach to clustering. IEEE Transactions on Fuzzy Systems 1 (1993) 98-110
7. Lingras P., and West C. Interval set clustering of Web users with rough k-means. Journal of Intelligent Information Systems 23 (2004) 5-16
8. Maji P., and Pal S.K. RFCM: a hybrid clustering algorithm using rough and fuzzy sets. Fundamenta Informaticae 79 (2007) 1-22
9. Mitra S., and Acharya T. Data Mining: Multimedia, Soft Computing, and Bioinformatics (2003), Wiley, New York
10. Mitra S., Banka H., and Pedrycz W. Rough-fuzzy collaborative clustering. IEEE Transactions on Systems, Man, and Cybernetics-Part B 36 (2006) 795-805
11. Pal S.K., and Dutta Majumder D. Fuzzy sets and decision making approaches in vowel and speaker recognition. IEEE Transactions on Systems, Man, and Cybernetics 7 (1977) 625-629
12. Pawlak Z. Rough Sets, Theoretical Aspects of Reasoning about Data (1991), Kluwer Academic, Dordrecht
13. Pedrycz W. Shadowed sets: representing and processing fuzzy sets. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 28 (1998) 103-109
14. Pedrycz W. Interpretation of clusters in the framework of shadowed sets. Pattern Recognition Letters 26 (2005) 2439-2449
15. Peters G. Some refinements of rough k-means clustering. Pattern Recognition 39 (2006) 1481-1491
16. Rescher N. Many-Valued Logic (1969), McGraw-Hill, New York
17. Rousseeuw P. Silhouette: a graphical aid to the interpretation and validation of cluster analysis. Journal of Computational and Applied Mathematics 20 (1987) 53-65
18. Tou J.T., and Gonzalez R.C. Pattern Recognition Principles (1974), Addison-Wesley, London
19. Xie X.L., and Beni G. A validity measure for fuzzy clustering. IEEE Transactions on Pattern Analysis and Machine Intelligence 13 (1991) 841-847
20. Zadeh L.A. Fuzzy logic, neural networks, and soft computing. Communications of the ACM 37 (1994) 77-84