[1]REZAEE B. A cluster validity index for fuzzy clustering [J]. Fuzzy Sets and Systems, 2010, 161(23): 3014-3025.
[2]ZHANG Y J, WANG W N, ZHANG X, et al. A cluster validity index for fuzzy clustering [J]. Information Sciences, 2008, 178(4): 1205-1218.
[3]ZALIK K R. Cluster validity index for estimation of fuzzy clusters of different sizes and densities [J]. Pattern Recognition, 2010, 43(10): 3374-3390.
[4]KIMA D W, LEE K H, LEE D. On cluster validity index for estimation of the optimal number of fuzzy clusters [J]. Pattern Recognition, 2004, 37(10): 2009-2025.
[5]WANG W, ZHANG Y. On fuzzy cluster validity indices [J]. Fuzzy Sets and Systems, 2007, 158(19): 2095-2117.
[6]YUE S, WANG J, WU T, et al. A new separation measure for improving the effectiveness of validity indices [J]. Information Sciences, 2010, 180(5): 748-764.
[7]HUANG K. Applications of an enhanced cluster validity index meth-od based on the fuzzy C-means and rough set theories to partition and classification [J]. Expert Systems with Applications, 2010, 37(12): 8757-8769.
[8]MASSON M, WU T. ECM: an evidential version of the fuzzy C-means algorithm [J]. Pattern Recognition, 2008, 41(4): 1384-1397.
[9]WU K, YANG M. Robust cluster validity indexes [J]. Pattern Recognition, 2009, 42(11): 2541-2550.
[10]SUN X, ZHAO Y, WANG H-L, et al. Sensitivity of digital soil maps based on FCM to the fuzzy exponent and the number of clusters [J]. Geoderma, 2012, 171/172: 24-34.
[11]MITRA S, PEDRYCZ W, BARMAN B. Shadowed C-means: integrating fuzzy and rough clustering [J]. Pattern Recognition, 2010, 43(4): 1282-1291.
[12]DUNN J C. Well-separated clusters and the optimal fuzzy partitions [J]. Journal of Cybernetics, 1974, 4(1): 95-104.
[13]BEZDEK J C. Pattern recognition with fuzzy objective function algorithms [M]. Norwell: Kluwer Academic Publishers, 1981.
[14]BEZDEK J C. Cluster validity with fuzzy sets [J]. Journal of Cybernetics, 1974, 3(3): 58-73.
[15]BEZDEK J C. Numerical taxonomy with fuzzy sets [J]. Journal of Mathematical Biology, 1974, 1(1):57-71.
[16]DAVE R N. Validating fuzzy partitions obtained through C-shells clustering [J]. Pattern Recognition Letters, 1996, 17(6): 613-623.
[17]WINDHAM M P. Cluster validity for the fuzzy C-means clustering algorithm [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1982, 4(4): 357-363.
[18]FUKUYAMA Y, SUGENO M. A new method of choosing the number of clusters for the fuzzy C-means method [C]// Proceedings of the 5th Fuzzy Systems Symposium. Kobe: [s.n.], 1989: 247-250.
[19]GUNDERSON R. Applications of fuzzy ISODATA algorithms to star-tracker printing systems [C]// Proceedings of the 7th Triennial World IFAC Congress. Helsinki: [s.n.], 1978: 1319-1323.
[20]DAVIES D L, BOULDIN D W. A cluster separation measure [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1979, 1(2): 224-227.
[21]GATH I, GEVA A B. Fuzzy clustering for the estimation of the parameters of the components of mixtures of normal distributions [J]. Pattern Recognition Letters, 1989, 9(2): 77-86.
[22]XIE X, BENI G. A validity measure for fuzzy clustering [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1991, 13(4): 841-847.
[23]WINKLER R, KLAWONN F, KRUSE R. Fuzzy C-means in high dimensional spaces [J]. International Journal of Fuzzy System Applications, 2011, 1(1): 1-16.
[24]ZAHID N, LIMOURI M, ESSAID A. A new cluster validity for fuzzy clustering [J]. Pattern Recognition, 1999, 32(7): 1089-1097.
[25]WU K, YANG M. A cluster validity index for fuzzy clustering [J]. Pattern Recognition Letters, 2005, 26(9): 1275-1291.
[26]PAKHIRA M K, BANDYOPADHYAY S, MAULIK U. Validity index for crisp and fuzzy clusters [J]. Pattern Recognition, 2004, 37(3): 487-501. |