Re: Fuzzy clustering

Thomas Runkler (runkler@mchp.siemens.de)
Fri, 5 Nov 1999 11:39:10 +0100 (MET)

PPC <ppcaric@tin.it> wrote:
: The problem: I have thousands of points in a 2D space characterized by their
: position (value,possibility) and by a multiplicity
: I display them in a bubble graph with each bubble's radius proportional to
: multiplicity
: These points concentrate in 2 or more zones (graphically)
: I'd like to get information about these zones through data analysis
: Does anybody have a clustering algorithm that can fit this issue?

: Thank you

You might want to use *any* fuzzy or non-fuzzy clustering algorithm.
Your multiplicities can be implemented as weights, or you might use
your data points multiple times during clustering. For an overview
of clustering algorithms check out these books

J. C. Bezdek: Pattern Recognition with Fuzzy Objective Function Algorithms.
Plenum 1981

A. K. Jain and R. C. Dubes: Algorithms for Clustering Data. Prentice
Hall 1988

F. Hoeppner, F. Klawonn, R. Kruse, T. Runkler: Fuzzy Cluster Analysis -
Methods for Image Recognition, Classification, and Data Analysis. Wiley 1999.

Best regards

Thomas

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Dr.-Ing. Thomas A. Runkler Tel. (089) 636 45372
Siemens AG, ZT IK 4 Fax (089) 636 45456
81730 Muenchen Email Thomas.Runkler@mchp.siemens.de
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