Geometrical fuzzy clustering algorithms

Authors:
Michael P. Windham
Affiliations:
-
Venue:
Fuzzy Sets and Systems
Year:
1983

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Abstract

Fuzzy clustering algorithms are a basic tool for cluster analysis. Among these, the geometrical fuzzy clustering algorithms are used when the clustering problem can be viewed as trying to find linear or ellipsoidal concentrations in data. This paper provides a theoretical framework in which currently used geometrical fuzzy clustering algorithms become special cases. Also, a family of functions called feasible are defined which can be used to construct such algorithms and convergence results are obtained.