Skip to main content

A Similarity Measure for Intuitionistic Fuzzy Sets and Its Application in Supporting Medical Diagnostic Reasoning

  • Conference paper
Artificial Intelligence and Soft Computing - ICAISC 2004 (ICAISC 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3070))

Included in the following conference series:

Abstract

We propose a new similarity measure for intuitionistic fuzzy sets and show its usefulness in medical diagnostic reasoning. We point out advantages of this new concept over the most commonly used similarity measures being just the counterparts of distances. The measure we propose involves both similarity and dissimilarity.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets and Syst. 20, 87–96 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  2. Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Physica- Verlag, Heidelberg (1999)

    MATH  Google Scholar 

  3. Szmidt, E.: Applications of Intuitionistic Fuzzy sets in Decision Making (D.Sc. dissertation) Techn. Univ., Sofia (2000)

    Google Scholar 

  4. Szmidt, E., Baldwin, J.: New Similarity Measure for Intuitionistic Fuzzy Set Theory and Mass Assignment Theory. Notes on IFSs 9, 60–76 (2003)

    MATH  MathSciNet  Google Scholar 

  5. Szmidt, E., Kacprzyk, J.: Remarks on some applications of intuitionistic fuzzy sets in decision making. Notes on IFS 2, 22–31 (1996b)

    MATH  MathSciNet  Google Scholar 

  6. Szmidt, E., Kacprzyk, J.: Group Decision Making under Intuitionistic Fuzzy Preference Relations. In: Proc. IPMU 1998, pp. 172–178 (1998a)

    Google Scholar 

  7. Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets. Fuzzy Sets and Syst. 114, 505–518 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  8. Szmidt, E., Kacprzyk, J.: On Measures on Consensus Under Intuitionistic Fuzzy Relations. In: Proc. IPMU 2000, pp. 1454–1461 (2000)

    Google Scholar 

  9. Szmidt, E., Kacprzyk, J.: Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Syst. 118, 467–477 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  10. Szmidt, E., Kacprzyk, J.: Analysis of Agreement in a Group of Experts via Distances Between Intuitionistic Fuzzy Preferences. In: Proc. IPMU 2002, pp. 1859–1865 (2002)

    Google Scholar 

  11. Szmidt, E., Kacprzyk, J.: An Intuitionistic Fuzzy Set Based Approach to Intelligent Data Analysis: An application to medical diagnosis. In: Abraham, A., Jain, L., Kacprzyk, J. (eds.) Recent Advances in Intelligent Paradigms and and Applications, pp. 57–70. Springer, Heidelberg (2002)

    Google Scholar 

  12. Szmidt, E., Kacprzyk, J.: Similarity of Intuitionistic Fuzzy Sets and Jaccard Coefficient (accepted for IPMU 2004)

    Google Scholar 

  13. Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Szmidt, E., Kacprzyk, J. (2004). A Similarity Measure for Intuitionistic Fuzzy Sets and Its Application in Supporting Medical Diagnostic Reasoning. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds) Artificial Intelligence and Soft Computing - ICAISC 2004. ICAISC 2004. Lecture Notes in Computer Science(), vol 3070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24844-6_56

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24844-6_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22123-4

  • Online ISBN: 978-3-540-24844-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics