Skip to main content
SpringerLink
Log in

On the Issue of Linguistic Approximation

  • Chapter
Aspects of Automatic Text Analysis

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 209))

  • 858 Accesses

Abstract

The purpose of this paper is twofold. First, we discuss the various issues of linguistic approximation in the context of intelligent systems. Second, we address one of the approximation issues in particular, which seems to be somewhat neglected in the literature.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. J. C. Bezdek, D. Dubois, and H. Prade, editors. Fuzzy Sets in Approximate Reasoning and Information Systems. Kluwer, Boston, 1999.

    MATH  Google Scholar 

  2. A. Dvořák. On Linguistic Approximation in the Frame of Fuzzy Logic Deduction. Soft Computing, 3(2):111–115, 1999.

    Article  Google Scholar 

  3. F. Eshragh and E. H. Mamdani. A General Approach to Linguistic Approximation. International Journal of Man-Machine Studies, 11:501–519, 1979.

    Article  MATH  MathSciNet  Google Scholar 

  4. S. Gottwald. Generalized Solvability Criteria for Fuzzy Equations. Fuzzy Sets and Systems, 17(3):285–296, 1985.

    Article  MATH  MathSciNet  Google Scholar 

  5. P. Hájek. Metamathematics of Fuzzy Logic. Kluwer, Boston, 1999.

    Google Scholar 

  6. M. Higashi and G. J. Klir. On the Notion of Distance Representing Information Closeness: Possibility and Probability Distribution. International Journal of General Systems, 19(2):103–115, 1983.

    MathSciNet  Google Scholar 

  7. E. E. Kerre and M. de Cock. Linguistic Modifiers: An Overview. In G. Chen et al., editor, Fuzzy Logic and Soft Computing. Kluwer, Boston, 1999.

    Google Scholar 

  8. G. J. Klir. On Fuzzy-set Interpretation of Possibility Theory. Fuzzy Sets and Systems, 108(3):263–273, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  9. G. J. Klir and M. J. Wierman. Uncertainty-Based Information: Elements of Generalized Information Theory. Physica/Springer, Heidelberg and New York, 1998.

    MATH  Google Scholar 

  10. G. J. Klir and B. Yuan. Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall, PTR, Upper Saddle River, NJ, 1995.

    MATH  Google Scholar 

  11. G. J. Klir and B. Yuan, editors. Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers by Lot. A. Zadeh. World Scientific, 1996.

    Google Scholar 

  12. G. Lako. Hedges: A Study in Meaning Criteria and the Logic of Fuzzy Concepts. Journal of Philosophical Logic, 2:458–508, 1973.

    MathSciNet  Google Scholar 

  13. M. Mareš and R. Mesiar. Calculation over Verbal Quantities. In L. A. Zadeh and J. Kacprzyk, editors, Computing with Words in Information/ Intelligent Systems, volume 1, pages 409–427. Physica, 1999.

    Google Scholar 

  14. M. Mareš and R. Mesiar. Dual Meaning of Verbal Quantities. Kybernetika, 38(6):709–716, 2002.

    MathSciNet  Google Scholar 

  15. V. Novák. Fuzzy Sets and Their Applications. Adam Hilger, Bristol and Philadelphia, 1989.

    MATH  Google Scholar 

  16. A. Ramer and C. Padet. Nonspecificity in Rn. International Journal of General Systems, 30(6):661–680, 2001.

    MATH  MathSciNet  Google Scholar 

  17. J. Talašová. Fuzzy Methods of Multicriteria Valuation and Decision Making (in Czech). Palacký University Press, 2003.

    Google Scholar 

  18. P. P. Wang, editor. Computing with Words. John Wiley, 2001.

    Google Scholar 

  19. R. R. Yager, S. Ovchinnikov, R. M. Tong, and H. T. Nguyen, editors. Fuzzy Sets and Applications - Selected Papers by L. A. Zadeh. John Wiley, New York, 1987.

    Google Scholar 

  20. L. A. Zadeh. The Concept of a Linguistic Variable and its Application to Approximate Reasoning. Parts 1 and 2. Information Sciences, 8:199–249, 301–357, 1975.

    Article  MathSciNet  Google Scholar 

  21. L. A. Zadeh. The Concept of a Linguistic Variable and its Application to Approximate Reasoning. Part 3. Information Sciences, 9:43–80, 1975.

    Article  MathSciNet  Google Scholar 

  22. L. A. Zadeh. Fuzzy Logic = Computing with Words. IEEE Transactions on Fuzzy Systems, 4(2):103–111, 1996.

    Article  MathSciNet  Google Scholar 

  23. L. A. Zadeh. From Computing with Numbers to Computing with Words - From Manipulation of Measurements to Manipulation of Perceptions. IEEE Transactions on Circuits and Systems - I. Fundamental Theory and Applications, 45(1):105–119, 1999.

    Article  MathSciNet  Google Scholar 

  24. L. A. Zadeh and J. Kacprzyk, editors. Computing with Words in Information/ Intelligent Systems. Physica/Springer, Heidelberg and New York, 1999.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Binghamton University (SUNY), Binghamton

    George J. Klir

  2. Los Alamos National Laboratory, Los Alamos

    Kari Sentz

Authors
  1. George J. Klir
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kari Sentz
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer

About this chapter

Cite this chapter

Klir, G.J., Sentz, K. (2007). On the Issue of Linguistic Approximation. In: Aspects of Automatic Text Analysis. Studies in Fuzziness and Soft Computing, vol 209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37522-7_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-37522-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37520-3

  • Online ISBN: 978-3-540-37522-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation