Skip to main content

Order-Based Equivalence Degrees for Similarity and Distance Measures

  • Conference paper
Computational Intelligence for Knowledge-Based Systems Design (IPMU 2010)

Abstract

In order to help to choose similarity or distance measures for information retrieval systems, we compare the orders these measures induce and quantify their agreement by a degree of equivalence. We both consider measures dedicated to binary and numerical data, carrying out experiments both on artificial and real data sets, and identifying equivalent as well as quasi-equivalent measures that can be considered as redundant in the information retrieval framework.

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. Janowitz, M.F.: Monotone equivariant cluster analysis. SIAM J. Appl. Math. 37, 148–165 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  2. Lerman, I.C.: Indice de similarité et préordonnance associée. In: Séminaire sur les ordres totaux finis, Aix-en-Provence, pp. 233–243 (1967)

    Google Scholar 

  3. Baulieu, F.B.: A classification of presence/absence based dissimilarity coefficients. Journal of Classification 6, 233–246 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  4. Batagelj, V., Bren, M.: Comparing resemblance measures. Journal of Classification 12, 73–90 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  5. Omhover, J.F., Rifqi, M., Detyniecki, M.: Ranking invariance based on similarity measures in document retrieval. In: Detyniecki, M., Jose, J.M., Nürnberger, A., van Rijsbergen, C.J.K. (eds.) AMR 2005. LNCS, vol. 3877, pp. 55–64. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  6. Rifqi, M., Lesot, M.J., Detyniecki, M.: Fuzzy order-equivalence for similarity measures. In: Proc. of NAFIPS 2008 (2008)

    Google Scholar 

  7. Fagin, R., Kumar, R., Sivakumar, D.: Comparing top k lists. SIAM Journal on Discrete Mathematics 17, 134–160 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  8. Fagin, R., Kumar, R., Mahdian, M., Sivakumar, D., Vee, E.: Comparing and aggregating rankings with ties. In: Symp. on Princ. of Database Sys., pp. 47–58 (2004)

    Google Scholar 

  9. ImageCLEF challenge (2008), http://www.imageclef.org

  10. Bouchon-Meunier, B., Rifqi, M., Bothorel, S.: Towards general measures of comparison of objects. Fuzzy sets and systems 84, 143–153 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  11. Lesot, M.J., Rifqi, M., Benhadda, H.: Similarity measures for binary and numerical data: a survey. Intern. J. of Knowledge Engineering and Soft Data Paradigms (KESDP) 1, 63–84 (2009)

    Article  Google Scholar 

  12. Tversky, A.: Features of similarity. Psychological Review 84, 327–352 (1977)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lesot, MJ., Rifqi, M. (2010). Order-Based Equivalence Degrees for Similarity and Distance Measures. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Computational Intelligence for Knowledge-Based Systems Design. IPMU 2010. Lecture Notes in Computer Science(), vol 6178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14049-5_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-14049-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14048-8

  • Online ISBN: 978-3-642-14049-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics