Skip to main content

Fuzzy Hypotheses Testing with Fuzzy Data: A Bayesian Approach

  • Conference paper
  • First Online:
Book cover Advances in Soft Computing — AFSS 2002 (AFSS 2002)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2275))

Included in the following conference series:

Abstract

In hypotheses testing, such as other statistical problems, we may confront with imprecise concepts. One case is a situation in which both hypotheses and observations are imprecise. In this paper, using fuzzy set theory for formulation of imprecise hypotheses and observations, we analyze mentioned problem on the basis of a Bayesian method.

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

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. Berger J. O.:Statistical Decision Theory and Bayesian Analysis. Springer-Verlag (1993).

    Google Scholar 

  2. Casals M. R., Gil M. R. and Gil P.:On the use of Zadeh’s probabilistic definition for testing statistical hypotheses from fuzzy information. Fuzzy Sets and Systems 20 (1986) 175–190.

    Article  MATH  MathSciNet  Google Scholar 

  3. Casals M. R.:Bayesian testing of fuzzy parametric hypotheses from fuzzy information. RAIRO, Operations Research 27 (1993) 189–199.

    MATH  MathSciNet  Google Scholar 

  4. Kruse R. and Meyer K. D.: Statistics with Vague Data. Reidal Publ. Netherlands (1987).

    MATH  Google Scholar 

  5. Taheri S. M. and Behboodian J.:Neyman-Pearson Lemma for fuzzy hypotheses testing. Metrika 49 (1999) 3–17.

    Article  MATH  MathSciNet  Google Scholar 

  6. Taheri S. M. and Behboodian J.:A Bayesian approach to fuzzy hypotheses testing. Fuzzy Sets and Systems, (2001) To appeare.

    Google Scholar 

  7. Zadeh L. A.:Probability measures of fuzzy events. J. Math. Anal. Appl. 23 (1968) 421–427.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Taheri, S.M., Behboodian, J. (2002). Fuzzy Hypotheses Testing with Fuzzy Data: A Bayesian Approach. In: Pal, N.R., Sugeno, M. (eds) Advances in Soft Computing — AFSS 2002. AFSS 2002. Lecture Notes in Computer Science(), vol 2275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45631-7_73

Download citation

  • DOI: https://doi.org/10.1007/3-540-45631-7_73

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43150-3

  • Online ISBN: 978-3-540-45631-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics