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A Dynamic Clustering Method for Mixed Feature-Type Symbolic Data

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Data Science and Classification

Abstract

A dynamic clustering method for mixed feature-type symbolic data is presented. The proposed method needs a previous pre-processing step to transform Boolean symbolic data into modal symbolic data. The presented dynamic clustering method has then as input a set of vectors of modal symbolic data and furnishes a partition and a prototype to each class by optimizing an adequacy criterion based on a suitable squared Euclidean distance. To show the usefulness of this method, examples with symbolic data sets are considered.

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References

  • BOCK, H.H. (2002): Clustering algorithms and kohonen maps for symbolic data. Proc. ICNCB, Osaka, 203–215. J. Jpn. Soc. Comp. Statistic, 15, 1–13.

    Google Scholar 

  • BOCK, H.H. and DIDAY, E. (2000): Analysis of Symbolic Data, Exploratory methods for extracting statistical information from complex data. Springer, Heidelberg.

    Google Scholar 

  • CHAVENT, M. and LECHEVALLIER, Y. (2002). Dynamical Clustering Algorithm of Interval Data: Optimization of an Adequacy Criterion Based on Hausdorff Distance. In: A. Sokolowski and H.-H. Bock (Eds.): Classification, Clustering and Data Analysis. Springer, Heidelberg, 53–59.

    Google Scholar 

  • CHAVENT, M., DE CARVALHO, F.A.T., LECHEVALLIER, Y. and VERDE, R. (2003). Trois nouvelles mthodes de classification automatique de données symboliques de type intervalle. Revue de Statistique Appliquée, v. LI, n. 4, p. 5–29.

    Google Scholar 

  • DE CARVALHO, F.A.T. (1995). Histograms in Symbolic Data Analysis. Annals of Operations Research, v. 55, p. 229–322.

    Article  Google Scholar 

  • DE CARVALHO, F.A.T., VERDE, R. and LECHEVALLIER, Y. (1999). A dynamical clustering of symbolic objcts based on a context dependent proximity measure. In: Proceedings of the IX International Symposium on Applied Stochastic Models and Data analysis. Lisboa: Universidade de Lisboa, p. 237–242.

    Google Scholar 

  • DIDAY, E. and SIMON, J.J. (1976): Clustering Analysis. In: Fu, K. S. (Eds): Digital Pattern Recognition. Springer-Verlag, Heidelberg, 47–94.

    Google Scholar 

  • EL-SONBATY, Y. and ISMAIL, M.A. (1998): Fuzzy Clustering for Symbolic Data. IEEE Transactions on Fuzzy Systems 6, 195–204.

    Article  Google Scholar 

  • EVERITT, B. (2001): Cluster Analysis. Halsted, New York.

    Google Scholar 

  • GORDON, A.D. (1999): Classification. Chapman and Hall/CRC, Boca Raton, Florida.

    MATH  Google Scholar 

  • HUBERT, L. and ARABIE. P. (1985): Comparing Partitions. Journal of Classification, 2, 193–218.

    Article  Google Scholar 

  • RALAMBONDRAINY, H. (1995): A conceptual version of the k-means algorithm. Pattern Recognition Letters 16, 1147–1157.

    Article  Google Scholar 

  • SOUZA, R.M.C.R. and DE CARVALHO, F.A.T. (2004): Clustering of interval data based on city-block distances. Pattern Recognition Letters, 25 (3), 353–365.

    Article  Google Scholar 

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© 2006 Springer-Verlag Berlin · Heidelberg

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de Souza, R.M.C.R., de Carvalho, F.d.A.T., Pizzato, D.F. (2006). A Dynamic Clustering Method for Mixed Feature-Type Symbolic Data. In: Batagelj, V., Bock, HH., Ferligoj, A., Žiberna, A. (eds) Data Science and Classification. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-34416-0_22

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