A physical analogy to fuzzy clustering

Jan Jantzen

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

This tutorial paper provides an interpretation of the membership assignment in the fuzzy clustering algorithm fuzzy c-means. The membership of a data point to several clusters is shown to be analogous to the gravitational forces between bodies of mass. This provides an alternative way to explain the algorithm to students. The analogy suggests a possible extension of the fuzzy membership assignment equation.
Original languageEnglish
Title of host publicationEunite 2004: European Symposium on Intelligent Technologies, Hybrid Systems and their Implementation on Smart Adaptive Sy
Place of PublicationPascalstr. 69, D-52076 Aachen, Germany
PublisherELITE Foundation, Pascalstrasse 69, D-52076 Aachen, Germany
Publication date2004
Pages521-526
Publication statusPublished - 2004

Cite this

Jantzen, J. (2004). A physical analogy to fuzzy clustering. In Eunite 2004: European Symposium on Intelligent Technologies, Hybrid Systems and their Implementation on Smart Adaptive Sy (pp. 521-526). Pascalstr. 69, D-52076 Aachen, Germany: ELITE Foundation, Pascalstrasse 69, D-52076 Aachen, Germany.