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Volume 24 Issue 8
Aug.  2002
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Fan Jiulun, Wu Chengmao. Clustering validity function based on possibilistic partition coefficient combined with fuzzy variation[J]. Journal of Electronics & Information Technology, 2002, 24(8): 1017-1021.
Citation: Fan Jiulun, Wu Chengmao. Clustering validity function based on possibilistic partition coefficient combined with fuzzy variation[J]. Journal of Electronics & Information Technology, 2002, 24(8): 1017-1021.

Clustering validity function based on possibilistic partition coefficient combined with fuzzy variation

  • Received Date: 2001-01-02
  • Rev Recd Date: 2001-05-29
  • Publish Date: 2002-08-19
  • Possibilistic partition coefficient which based on possibilistic distribution descriptor has decreasing tendency as the classification number increasing and does not directly relate to the geometry structure of data set. To consider the geometry structure information of data set, new clustering validity functions are defined by modify possibilistic partition coefficient. Experimental results show that the new methods have good classification performance.
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  • J.C. Bezdek, Pattern Recognition with Fuzzy Objective Function Algorithms, New York, Plenums Press, 1981, 95-107.[2]N.R. Pal, J. C. Bezdek, On cluster validity for the fuzzy C-means model, IEEE Trans. on Fuzzy Systems, 1995, 3(3), 370-379.[3]范九伦,裴继红,谢维信,基于可能性分布的有效性函数,电子学报,1998,26(4),103-105.[4]L.A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems, 1978, 1(1),3-28.[5]L.O. Hall, A. Kandel, Studies in possibilistic recognition, Fuzzy Sets and Systems, 1985, 17(2),167-179.[6]范九伦,模糊聚类新算法与聚类有效性问题研究,[博士论文],西安电子科技大学,1998年. [7]X.L. Xie, G. A. Beni, Validity measure for fuzzy clustering, IEEE Trans. on Pattern Anal.Machine Intell, 1991, 3(8), 841-846.[7]M.S. Yang, On a class of fuzzy classification maximum likelihood procedures, Fuzzy Sets and Systems, 1993, 57(3), 365-375.
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