Skip to main content

Fuzzy Sets: A Brief Retrospect and Beyond

  • Chapter
On Fuzziness

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 299))

  • 1081 Accesses

Abstract

In this brief note, my intent is to offer some personal views at fuzzy sets - a paradigm that has brought an innovative and fresh perspective to numerous endeavors to numerous disciplines in sciences, humanities, and engineering. Obviously, any historical notes of this nature are sketchy, incomplete, and highly subjective. By no means they pretend to be a fully reflective of the rich history, landscape and people forming the fuzzy set community.

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 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. Hirota, K.: Concepts of Probabilistic Sets. Fuzzy Sets and Systems 5, 31–46 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  2. Kickert, W.J.M., van Nauta Lemke, H.R.: Application of a Fuzzy Controller in a Warm Water Plant. Automatica 12(4), 301–308 (1976)

    Article  Google Scholar 

  3. Kickert, W.J.M.: Towards an Analysis of Linguistic Modeling. Fuzzy Sets and Systems 2, 293–307 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  4. Simon, J.C., Backer, E., Sallantin, J.: A Structural Approach of Pattern Recognition. Signal Processing 2(1), 5–22 (1980)

    Article  Google Scholar 

  5. Rickman, S.M., Kandel, A.: Column Table Approach for the Minimization of Fuzzy Functions. Information Sciences 12(2), 111–128 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  6. Tong, R.M., Beck, M.B., Latten, A.: Fuzzy Control of the Activated Sludge Wastewater Treatment Process. Automatica 16(6), 695–701 (1980)

    Article  MATH  Google Scholar 

  7. Wenstøp, F.: Quantitative Analysis with Linguistic Values. Fuzzy Sets and Systems 4(2), 99–115 (1980)

    Article  MATH  Google Scholar 

  8. Zadeh, L.A.: Towards a Theory of Fuzzy Information Granulation and its Centrality in Human Reasoning and Fuzzy Logic. Fuzzy Sets and Systems 90, 111–117 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  9. Zadeh, L.A.: A Note on Z-numbers. Information Sciences 181(14,15), 2923–2932 (2011)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Pedrycz, W. (2013). Fuzzy Sets: A Brief Retrospect and Beyond. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds) On Fuzziness. Studies in Fuzziness and Soft Computing, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35644-5_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35644-5_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35643-8

  • Online ISBN: 978-3-642-35644-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics