Skip to main content

Similarity Computation between Fuzzy Set and Crisp Set with Similarity Measure Based on Distance

  • Conference paper
Information Retrieval Technology (AIRS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4993))

Included in the following conference series:

Abstract

The computation procedure of similarity between fuzzy set and crisp set is derived. The proposed similarity measure is constructed through distance measure. And our results are compared with those of previous similarity which is based on fuzzy number.

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. Chen, S.M.: New methods for subjective mental workload assessment and fuzzy risk analysis. Cybern. Syst.: Int. J. 27(5), 449–472 (1996)

    Article  MATH  Google Scholar 

  2. Hsieh, C.H., Chen, S.H.: Similarity of generalized fuzzy numbers with graded mean integration representation. In: Proc. 8th Int. Fuzzy Systems Association World Congr., vol. 2, pp. 551–555 (1999)

    Google Scholar 

  3. Lee, H.: An optimal aggregation method for fuzzy opinions of group decision. In: Proc. 1999 IEEE Int. Conf. Systems, Man, Cybernetics, vol. 3, pp. 314–319 (1999)

    Google Scholar 

  4. Chen, S.J., Chen, S.M.: Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers. IEEE Trans. on Fuzzy Systems 11(1), 45–56 (2003)

    Article  Google Scholar 

  5. Lee, S.H., Cheon, S.P., Kim, J.: Measure of certainty with fuzzy entropy function. In: Huang, D.-S., Li, K., Irwin, G.W. (eds.) ICIC 2006. LNCS (LNAI), vol. 4114, pp. 134–139. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  6. Lee, S.H., Kim, J.M., Choi, Y.K.: Similarity measure construction using fuzzy entropy and distance measure. In: Huang, D.-S., Li, K., Irwin, G.W. (eds.) ICIC 2006. LNCS (LNAI), vol. 4114, pp. 952–958. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  7. Liu, X.: Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets and Systems 52, 305–318 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  8. Fan, J.L., Xie, W.X.: Distance measure and induced fuzzy entropy. Fuzzy Set and Systems 104, 305–314 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  9. Fan, J.L., Ma, Y.L., Xie, W.X.: On some properties of distance measures. Fuzzy Set and Systems 117, 355–361 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  10. Park, D.H., Lee, S.H., Song, E.H., Ahn, D.K.: Similarity computation of fuzzy membership function pairs with similarity measure. In: Huang, D.-S., Heutte, L., Loog, M. (eds.) ICIC 2007. LNCS (LNAI), vol. 4682, pp. 485–492. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Hang Li Ting Liu Wei-Ying Ma Tetsuya Sakai Kam-Fai Wong Guodong Zhou

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lee, S.H., Park, H., Park, W.J. (2008). Similarity Computation between Fuzzy Set and Crisp Set with Similarity Measure Based on Distance. In: Li, H., Liu, T., Ma, WY., Sakai, T., Wong, KF., Zhou, G. (eds) Information Retrieval Technology. AIRS 2008. Lecture Notes in Computer Science, vol 4993. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68636-1_77

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-68636-1_77

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-68633-0

  • Online ISBN: 978-3-540-68636-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics