Abstract
There are many heuristic algorithms for clustering, from which the most important are the hierarchical methods of agglomeration, especially the Ward’s method. Among the iterative methods the most universally used is the C–means method and it’s generalizations. These methods have many advantages, but they are more or less dependent on the distribution of points in space and the shape of clusters. In this paper the problem of clustering is treated as a problem of optimization of a certain quality index. For that problem the author proposes two solutions: a hierarchical partitioning algorithm and an evolutionary algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arabas, J.: Lectures of evolutionary algorithms (in polish), WNT Warszawa (2001)
Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1981)
Groenen, P.J.F., Jajuga, K.: Fuzzy clastering with squared Minkowski distances. Fuzzy Sets and Systems 120, 227–237 (2001)
Jajuga, K.: Multivariate statistical analysis (in polish), PWN Warszawa (1993)
Piegat, A.: Fuzzy modeling and control. Springer, Heidelberg (2001)
Prim, R.C.: Shortest connection networks and some generalizations. Bell System Technical Journal 36, 1389–1401 (1957)
Sedgewick, R.: Algorithms. Addison-Weseley Co., London (1983)
Sneath, P., Sokal, R.R.: Numerical Taxonomy. W. Freeman & Co., San Fracisco (1973)
Ward, J.H.: Hierarchical grouping to optimize an objective function. Journal of the American Statistical Association 58, 236–244 (1963)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Korzeń, M. (2004). An Evolutionary Clustering Algorithm. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds) Artificial Intelligence and Soft Computing - ICAISC 2004. ICAISC 2004. Lecture Notes in Computer Science(), vol 3070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24844-6_62
Download citation
DOI: https://doi.org/10.1007/978-3-540-24844-6_62
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22123-4
Online ISBN: 978-3-540-24844-6
eBook Packages: Springer Book Archive