Skip to main content

Hierarchical Clustering of Non-Euclidean Relational Data Using Indiscernibility-Level

  • Conference paper
Rough Sets and Knowledge Technology (RSKT 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5009))

Included in the following conference series:

Abstract

In this paper, we present a clustering method for non- Euclidean relational data based on the combination of indiscernibility level and linkage algorithm. Indiscernibility level quantifys the level of global agreement for classifying two objects into the same category as indiscernible objects. Single-linkage grouping is then used to merge objects according to the indiscernibility level from bottom to top and construct the dendrogram. This scheme enables users to examine the hierarchy of data granularity and obtain the set of indiscernible objects that meets the given level of granularity. Additionally, since indiscernibility level is derived based on the binary classifications assigned independently to each object, it can be applied to non-Euclidean, asymmetric relational data.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Romesburg, H.C.: Cluster Analysis for Researchers. Krieger Publishing Inc. (1989)

    Google Scholar 

  2. Everitt, B.S., Landau, S., Leese, M.: Cluster Analysis, 4th edn. Arnold Publishers (2001)

    Google Scholar 

  3. Hathaway, R.J., Bezdek, J.C.: NERF c-means: Non-Euclidean relational fuzzy clustering. Pattern Recognition 27(3), 429–437 (1994)

    Article  Google Scholar 

  4. Pawlak, Z.: Rough Sets. In: Theoretical Aspects of Reasoning about Data, Kluwer Academic Publishers, Dordrecht (1991)

    Google Scholar 

  5. Hirano, S., Tsumoto, S.: An indiscernibility-based clustering method with iterative refinement of equivalence relations - rough clustering. Journal of Advanced Computational Intelligence and Intelligent Informatics 7, 169–177 (2003)

    Google Scholar 

  6. Neyman, J., Scott, E.L.: Statistical Approach to Problems of Cosmology. Journal of the Royal Statistical Society, Series B20, 1–43 (1958)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Guoyin Wang Tianrui Li Jerzy W. Grzymala-Busse Duoqian Miao Andrzej Skowron Yiyu Yao

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hirano, S., Tsumoto, S. (2008). Hierarchical Clustering of Non-Euclidean Relational Data Using Indiscernibility-Level. In: Wang, G., Li, T., Grzymala-Busse, J.W., Miao, D., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2008. Lecture Notes in Computer Science(), vol 5009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79721-0_47

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-79721-0_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79720-3

  • Online ISBN: 978-3-540-79721-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics