Cluster validity for fuzzy criterion clustering

Computers and Mathematics with Applications

Volumn 37, Issue 11, 1999, Pages 95-100

  Esogbue, A O ^a   Liu, Baoding ^b  

^a Georgia Institute of Technology   (United States)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING;

CLUSTER VALIDITY; FUZZY CLUSTERING; FUZZY CRITERION; FUZZY PROTOTYPE;

FUZZY SETS;

EID: 0033148791     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00147-9     Document Type: Article

References (14)

1. R. Bellman, R. Kalaba and L.A. Zadeh, Abstraction and pattern classification, J. Math. Anal. and Appl. 2, 581-586 (1966).
2. E.H. Ruspini, A new approach to clustering, Inform. and Control 15, 22-32 (1969).
3. M.-S. Yang, A survey of fuzzy clustering, Mathl. Comput. Modelling 18 (11), 1-16 (1993).
4. S. Tamura, S. Higuchi and K. Tanaka, Pattern classification based on fuzzy relations, IEEE Trans. Syst. Man Cybern. 1 (1), 61-66 (1971).
5. J.C. Dunn, A fuzzy relative of the ISODATA process and its use in detecting compact, well-separated clusters, J. Cybernetics 3, 32-57 (1974).
6. J.C. Bezdek, Pattern Recognition with Fuzzy Objective Function Algorithms, Plenum Press, New York, (1981).
7. J.C. Bezdek and S.K. Pal, Fuzzy Models for Pattern Recognition, IEEE Press, New York, (1992).
8. A.O. Esogbue, Optimal clustering of fuzzy data via fuzzy dynamic programming, Fuzzy Sets and Systems 18, 283-298 (1986).
9. B. Liu and A.O. Esogbue, Optimal fuzzy criterion clustering based on fuzzy prototypes, J. Math. Anal. Applic. (1996).
10. A.O. Esogbue and R.E. Bellman, Fuzzy dynamic programming and its extensions, Fuzzy Sets and Decision Analysis, TIMS Studies in the Management Science 20, 147-167 (1984).
11. E.H. Ruspini, Numerical methods for fuzzy clustering, Information Sciences 2, 319-350 (1970).
12. C. Coray, Clustering algorithms with prototype selection, In Proc. Hawaii Intern. Conf. Syst. Sci., pp. 945-955, (1981).
13. R.N. Dave, Fuzzy shell-clustering and application to circle detection in digital images, Int. J. Gen. Syst. 16, 343-355 (1990).
14. R.N. Dave and K. Bhaswan, Adaptive fuzzy C-shells clustering and detection of ellipses, IEEE Trans. Neural Networks 3 (5), 643-662 (1992).