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Part of the book series: The Handbooks of Fuzzy Sets Series ((FSHS,volume 4))

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Abstract

In Chapter 1 we mentioned that two types of data, object (X) and relational (R), are used for numerical pattern recognition. Relational methods for classifier design are not as well developed as methods for object data. The most compelling reason for this is probably that sensors collect object data. Moreover, when each object is not represented by a feature vector, the problem of feature analysis is non-existent. Consequently, the models in this chapter deal exclusively with clustering. There are many applications that depend on clustering relational data — e.g., information retrieval, data mining in relational databases, and numerical taxonomy, so methods in this category are important. Several network methods for relational pattern recognition are given in Chapter 5.

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Comments and bibliography

  • Kaufman, L. and Rousseeuw, P. J. (1990). Finding Groups in Data: An Introduction to Cluster Analysis, Wiley Interscience, NY.

    Book  Google Scholar 

  • Sen, S. and Dave, R. N. (1998). Clustering of relational data containing noise and outliers, Proc. IEEE Int. Conf. on Fuzzy Syst., IEEE Press, Piscataway, NJ, 1411–1416.

    Google Scholar 

  • Runkler, T. A. and Bezdek, J. C. (1997). Image segmentation using fuzzy clustering with fractal features, Proc. 1997 IEEE Int. Conf on Fuzzy Syst., IEEE Press, Piscataway, NJ., 1393–1398.

    Google Scholar 

  • Runkler, T. A. and Bezdek, J. C. (1998a). Polynomial membership functions for smooth first order Takagi-Sugeno systems, FuzzyNeuro Systems: Proc. in Artificial Intelligence, 5, eds. A. Grauel, W. Becker and F. Belli, 382–388.

    Google Scholar 

  • Hathaway, R. J. and Bezdek, J. C. (1994). Grouped coordinate minimization using Newton’s method for inexact minimization in one vector coordinate, J. Optimization Theory and Applications, 71 (3), 503–516.

    Article  MathSciNet  Google Scholar 

  • Delgado, M., Gomez-Skarmeta, A. F. and Vila, M.A. (1995). Hiearchical clustering to validate fuzzy clustering, Proc. IEEE Int. Conf on Fuzzy Syst., 1807–1812.

    Google Scholar 

  • Sato, M., Sato, Y. and Jain, L.C. (1997). Fuzzy Clustering Models and Applications, Physica-Verlag, Heidelberg, Germany.

    Google Scholar 

  • Shephard, R.N. and Arabie, P. (1979). Additive clustering: representation of similarities as combinations of discrete overlapping properties, Psychological Review, 86 (2), 87–123.

    Article  Google Scholar 

  • Klir, G. and Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic -Theory and Applications, Prentice Hall, Englewood Cliffs, NJ.

    Google Scholar 

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© 1999 Springer Science+Business Media New York

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Bezdek, J.C., Keller, J., Krisnapuram, R., Pal, N.R. (1999). Cluster Analysis for Relational Data. In: Fuzzy Models and Algorithms for Pattern Recognition and Image Processing. The Handbooks of Fuzzy Sets Series, vol 4. Springer, Boston, MA. https://doi.org/10.1007/0-387-24579-0_3

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  • DOI: https://doi.org/10.1007/0-387-24579-0_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-24515-7

  • Online ISBN: 978-0-387-24579-9

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