Skip to main content
Springer Nature Link
Log in

Imprecision Measures for Type-2 Fuzzy Sets: Applications to Linguistic Summarization of Databases

  • Conference paper
Artificial Intelligence and Soft Computing – ICAISC 2008 (ICAISC 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5097))

Included in the following conference series:

Abstract

The paper proposes new definitions of (im)precision measures for type-2 fuzzy sets representing linguistic terms and linguistically quantified statements. The proposed imprecision measures extend similar concepts for traditional (type-1) fuzzy sets, cf. [1,2]. Applications of those new concepts to linguistic summarization of data are proposed in the context of the problem statement of finding the best summaries.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Zadeh, L.A.: The concept of linguistic variable and its application for approximate reasoning (I). Information Sciences 8, 199–249 (1975)

    Article  MathSciNet  Google Scholar 

  2. Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Computers and Maths with Applications 9, 149–184 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  3. Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice-Hall, Upper Saddle River (2001)

    MATH  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  5. De Luca, A., Termini, S.: A definition of the non-probabilistic entropy in the setting of fuzzy sets theory. Information and Control 20, 301–312 (1972)

    Article  MathSciNet  Google Scholar 

  6. Wu, D., Mendel, J.M.: Uncertainty measures for interval type-2 fuzzy sets. Information Sciences, 5378–5393 (2007)

    Google Scholar 

  7. Mendel, J.M., John, R.I.: Type-2 fuzzy sets made simple. IEEE Transactions on Fuzzy Systems 10(2), 117–127 (2002)

    Article  Google Scholar 

  8. Karnik, N.N., Mendel, J.M.: An Introduction to Type-2 Fuzzy Logic Systems. University of Southern California, Los Angeles (1998)

    Google Scholar 

  9. Niewiadomski, A.: A type-2 fuzzy approach to linguistic summarization of data. IEEE Trans. on Fuzzy Systems 16(1), 198–212 (2008)

    Article  Google Scholar 

  10. Kacprzyk, J., Yager, R.R., Zadrożny, S.: A fuzzy logic based approach to linguistic summaries of databases. Int. J. of Applied Mathematics and Computer Sciences 10, 813–834 (2000)

    MATH  Google Scholar 

  11. Niewiadomski, A.: On Two Possible Roles of Type-2 Fuzzy Sets in Linguistic Summaries. In: Szczepaniak, P.S., Kacprzyk, J., Niewiadomski, A. (eds.) AWIC 2005. LNCS (LNAI), vol. 3528, pp. 341–347. Springer, Heidelberg (2005)

    Google Scholar 

  12. Niewiadomski, A.: Six new informativeness indices of data linguistic summaries. In: Szczepaniak, P.S., Wȩgrzyn-Wolska, K. (eds.) Advances in Intelligent Web Mastering, pp. 254–259. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. Niewiadomski, A., Szczepaniak, P.S.: News generating based on interval type-2 linguistic summaries of databases. In: Proceedings of IPMU 2006 Conference, Paris, France, July 2-7, pp. 1324–1331 (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Computer Science, Technical University of Łódź, Poland

    Adam Niewiadomski

Authors
  1. Adam Niewiadomski
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Leszek Rutkowski Ryszard Tadeusiewicz Lotfi A. Zadeh Jacek M. Zurada

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Niewiadomski, A. (2008). Imprecision Measures for Type-2 Fuzzy Sets: Applications to Linguistic Summarization of Databases. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2008. ICAISC 2008. Lecture Notes in Computer Science(), vol 5097. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69731-2_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-69731-2_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69572-1

  • Online ISBN: 978-3-540-69731-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics