Skip to main content

Specificity Based Defuzzification in Approximate Reasoning

  • Conference paper
Facets of Uncertainties and Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 125))

  • 697 Accesses

Abstract

In this paper, an attempt is made to introduce a new defuzzification scheme to be used in case there are a number of clipped fuzzy sets in the output of a fuzzy system. Approximate reasoning with this defuzzification scheme is proposed. A number of defuzzification methods existing in literature are reviewed here. A comparative study with our method has been made. The results are illustrated with a DC shunt motor for better understanding.

This research has been partially supported by the UGC SAP (DRS) Phase-II programme of the Department of Mathematics, Visva-Bharati. Authors appreciate the financial support of the University Grants Commission.

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 EPUB and 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

References

  1. Drainkov, D., Hellendoorn, H., Reinfrank, M.: An Introduction to Fuzzy Control. Narosa Publishing House, New Delhi (1996)

    Book  Google Scholar 

  2. Dubois, D., Prades, H.: Fuzzy sets in approximate reasoning, part I: inference with possibility distribution. Fuzzy Sets Syst. 40, 143–202 (1991)

    Article  Google Scholar 

  3. Yager, R.R.: Measuring tranquility and anxiety in decision making: an application of fuzzy sets. Int. J. Gen. Syst. 8, 139–146 (1982)

    Article  MathSciNet  Google Scholar 

  4. Mondal, B., Mazumdar, D., Raha, S.: Similarity in approximate reasoning. Int. J. Comput. Cogn. 4(3), 46–56 (2006)

    Google Scholar 

  5. Goralczany, M.B., Kiszka, J., Stachowicz, M.: Some problems of studying adequacy of fuzzy models. In: Yager, R.R., (ed.) Fuzzy Set and Possibility Theory. pp. 14–31, Pergamon Press, USA (1982)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Swapan Raha .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer India

About this paper

Cite this paper

Pal, A., Raha, S. (2015). Specificity Based Defuzzification in Approximate Reasoning. In: Chakraborty, M.K., Skowron, A., Maiti, M., Kar, S. (eds) Facets of Uncertainties and Applications. Springer Proceedings in Mathematics & Statistics, vol 125. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2301-6_4

Download citation

Publish with us

Policies and ethics