Skip to main content

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 291))

Abstract

The Z-number, proposed by Zadeh in the year 2011, is a new fuzzy-theoretic approach to the Computing With Words (CWW) paradigm. It aspires to capture the uncertainty of information conveyed by a sentence, and serve as a model for the precisiation and linguistic summarization of a natural language statement. The Z-number thereby, lends a new dimension to CWW – uniting CWW with Natural Language Processing (NLP). This article is an illumination upon our exploration of the Z-number approach to CWW. Here, we enlist the probable contributions of the Z-number to CWW, present our algorithm for CWW using the Z-number, and describe a simulation of the technique with respect to a real-life example of CWW. In the course of the simulation, we extend the interpretation of the set-theoretic intersection operator to evaluate the intersection of perceptions and discover some of the challenges underlying the implementation of the Z-number in the area of CWW.

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
Hardcover Book
USD 109.99
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. Turing, A.M.: Computing machinery and intelligence. Mind 49, 433–460 (1950)

    Article  MathSciNet  Google Scholar 

  2. Zadeh, L.A.: Intelligent systems revolution: Is it Real (1998), http://www-bisc.cs.berkeley.edu/zadeh/papers

  3. Zadeh, L.A.: Fuzzy logic = Computing with words. IEEE Trans. Fuzzy Systems 4(2), 103–111 (1996)

    Article  MathSciNet  Google Scholar 

  4. Zadeh, L.A.: Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Syst. Man Cyberns. 3(1), 28–44 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  5. Zadeh, L.A.: Test-score semantics for natural languages and meaning representation via PRUF. Empirical Semantics, 281–349 (1982)

    Google Scholar 

  6. Zadeh, L.A.: A new direction in AI: Toward a computational theory of perceptions. AI Magazine 22(1), 73–84 (2001)

    Google Scholar 

  7. Zadeh, L.A.: Precisiated Natural Language (PNL). AI Magazine 25(3), 74–91 (1994)

    MathSciNet  Google Scholar 

  8. Zadeh, L.A.: A note on Z–Numbers. Information Sciences 181, 2923–2932 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  9. Kacprzyk, J., Zadrozny, S.: Computing with words is an implementable paradigm: Fuzzy queries, linguistic data summaries and natural language generation. IEEE Trans. Fuzzy Systems 18(3), 461–472 (2010)

    Article  MathSciNet  Google Scholar 

  10. Nesfield, J.C.: English Grammar Series: Book IV: Idioms. grammar and synthesis. Macmillan, London (1956)

    Google Scholar 

  11. Mendel, J.M., Wu, D.: Perceptual computing – Aiding people in making subjective judgments. IEEE Press, N.J (2010)

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Romi Banerjee .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Banerjee, R., Pal, S.K. (2013). The Z-Number Enigma: A Study through an Experiment. In: Yager, R., Abbasov, A., Reformat, M., Shahbazova, S. (eds) Soft Computing: State of the Art Theory and Novel Applications. Studies in Fuzziness and Soft Computing, vol 291. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34922-5_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34922-5_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34921-8

  • Online ISBN: 978-3-642-34922-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics