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The Impact of Triangular Inequality Violations on Medoid-Based Clustering

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Foundations of Intelligent Systems (ISMIS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6804))

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Abstract

We evaluate the extent to which a dissimilarity space differs from a metric space by introducing the notion of metric point and metricity in a dissimilarity space. The effect of triangular inequality violations on medoid-based clustering of objects in a dissimilarity space is examined and the notion of rectifier is introduced to transform a dissimilarity space into a metric space.

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References

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Author information

Authors and Affiliations

  1. University of Massachusetts Boston, 100 Morrissey Blvd., Boston, 02125, USA

    Saaid Baraty, Dan A. Simovici & Catalin Zara

Authors
  1. Saaid Baraty
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  2. Dan A. Simovici
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  3. Catalin Zara
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Editor information

Editors and Affiliations

  1. Faculty of Electronics and Information Technology, Institute of Computer Science, Warsaw University of Technology,, Nowowiejska 15/19, 00-665, Warsaw, Poland

    Marzena Kryszkiewicz

  2. Faculty of Electronics and Information Technology, Institute of Computer Science, Warsaw University of Technology, Nowowiejska 15/19, 00-665, Warsaw, Poland

    Henryk Rybinski

  3. University of Warsaw, 02-097, Warsaw, Poland

    Andrzej Skowron

  4. Faculty of Electronics and Information Technology, Institute of Computer Science, Warsaw University of Technology, Nowowiejska 15/19,, 00-665, Warsaw, Poland

    Zbigniew W. Raś

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© 2011 Springer-Verlag Berlin Heidelberg

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Baraty, S., Simovici, D.A., Zara, C. (2011). The Impact of Triangular Inequality Violations on Medoid-Based Clustering. In: Kryszkiewicz, M., Rybinski, H., Skowron, A., Raś, Z.W. (eds) Foundations of Intelligent Systems. ISMIS 2011. Lecture Notes in Computer Science(), vol 6804. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21916-0_31

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  • DOI: https://doi.org/10.1007/978-3-642-21916-0_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21915-3

  • Online ISBN: 978-3-642-21916-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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