Fuzzy Modeling and Genetic Algorithms for Data Mining and Exploration

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Chapter 7

Fuzzy Clustering

In this chapter we examine methods of analyzing data using fuzzy cluster-

ing techniques. Fuzzy clustering provides a robust and resilient method of

classifying collections of data elements by allowing the same data point to

reside in multiple clusters with different degrees of membership. By way

of comparison, we also look at a crisp clustering method, the k-means

algorithm. The algorithms we use in this chapter are the fuzzy c-means

(Duda and Hart, and Bezdek) and the fuzzy adaptive clustering algorithm

(Young-Jun Lee, based on work by Krishnapuram and Keller).

Attempts to find meaning and patterns in chaotic or turbulent systems,

whether natural or artificial, have been at the root of western analytical

thought since the ...