A new validity index for fuzzy clustering

Journal of Computational Information Systems

Volumn 8, Issue 14, 2012, Pages 5875-5883

  Zhang, Fangfang ^a   Qian, Xuezhong ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

Cluster validity index; Fuzzy clustering; GK algorithm

Indexed keywords

CLUSTER VALIDITY INDICES; DATA SETS; G-K ALGORITHM; OVERLAPPING CLUSTERS; VALIDITY INDEX; WEIGHTED SUM;

COMPUTER APPLICATIONS; INFORMATION SYSTEMS;

FUZZY CLUSTERING;

EID: 84864521786     PISSN: 15539105     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. S. Ramathilagam, Yueh-Min Huang. Extended Gaussian kernel version of fuzzy c-means in the problem of data analyzing. Expert Systems with Applications, 2011, 38 (4): 3793-3805.
2. Lin Zhu, Fu-Lai Chung, Shitong Wang. Generalized fuzzy C-means clustering algorithm with improved fuzzy partitions. IEEE Transactions on Systems Man and Cybernetics - Part B-Cybernetics, 2009, 39 (3): 578-591.
3. Babak Rezaee. A cluster validity index for fuzzy clustering. Fuzzy Sets and Systems, 2010, 161 (23): 3014-3025.
4. Krista Rizman, Borut alik. Validity index for clusters of different sizes and densities. Pattern Recognition Letters, 2011, 32 (2): 221-234.
5. Erilli N. Alp, Yolcu Ufuk, Egrioglu Erol et al. Determining the most proper number of cluster in fuzzy clustering by using artificial neural networks. Expert Systems with Applications, 2011, 38 (3): 2248-2252.
6. Wang W N, Zhang Y J. On fuzzy cluster validity indices. Fuzzy Sets and Systems, 2007, 158 (19): 2095-2117.
7. J. C. Bezdek. Numerical taxonomy with fuzzy sets. Journal of Mathematical Biology, 1974, 1 (1): 57-71.
8. J. C. Bezdek. Cluster validity with fuzzy sets. Cybernetics and Systems, 1974, 3 (3): 58-74.
9. X. L. Xie, G. Beni, A validity measure for fuzzy clustering. Pattern Analysis and Machine Intelligence, IEEE Transactions on, 1991, 13 (8): 841-847.
10. M. K. Malay K. Pakhira, Sanghamitra Bandyopadhyay, Ujjwal Maulik. Validity index for crisp and fuzzy clusters. Pattern Recognition, 2004, 37 (3): 487-501
11. Malay K. Pakhira, Sanghamitra Bandyopadhyay, Ujjwal Maulik. A study of some fuzzy cluster validity indices, genetic clustering and application to pixel classification. Fuzzy Sets and Systems, 2005, 155 (2): 191-214.
12. Kim Y, Kim D, Lee D et al. A cluster validation index for GK cluster analysis based on relative degree of sharing. Information Sciences, 2004, 168 (1-4): 225-242.
13. Jianhua Qu, Zengzhen Shao, Xiyu Liu. Mixed PSO clustering algorithm using point symmetry distance. Journal of Computational Information Systems 2010, 6 (6): 2027-2035.
14. Kim D W, Lee K H, Lee D. On cluster validity index for estimation of the optimal number of fuzzy clusters. Pattern Recognition, 2004, 37 (10): 2009-2025.
15. BEN ShengLan, SU Guang-Da. A Fuzzy Cluster Validity Index Based on Clustering Mistake Measures. Pattern Recognition and Artificial Intelligence, 2010, 23 (1): 11-16.
16. Le Capitaine, H., Frelicot, C. A Cluster-Validity Index Combining an Overlap Measure and a Separation Measure Based on Fuzzy-Aggregation Operators. Fuzzy Systems, IEEE Transactions on, 2011, 19 (3): 580-588.
17. George E. Tsekouras, Haralambos Sarimveis. A new approach for measuring the validity of the fuzzy c-means algorithm. Advances in Engineering Software, 2004, 35 (8-9): 567-575.
18. Yunjie Zhang, Weina Wang, Xiaona Zhang et al. A cluster validity index for fuzzy clustering. Information Sciences, 2008, 178 (4): 1205-1218.