Skip to main content
SpringerLink
Log in

Sequential bayesian test from fuzzy experimental information

  • Reasoning Techniques Under Uncertainty
  • Conference paper
  • First Online:
Uncertainty and Intelligent Systems (IPMU 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 313))

Abstract

This paper is devoted to the sequential problem of testing hypotheses about an experiment, when its outcomes do not provide exact but rather fuzzy information.

This problem will be formalized as a special fuzzy sequential decision problem and, on assuming the Bayesian framework, we are allowed to extend the notions of risk function, stopping rule and terminal decision rule and the Bayes nonfuzzy decision procedures to the fuzzy case, and particularize them to the sequential problem of testing.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. J.O. Berger, Statistical Decision Theory and Bayesian Analysis (Springer-Verlag, New York, 1985).

    Google Scholar 

  2. M.R. Casals, M.A. Gil and P. Gil, On the use of Zadeh's Probabilistic Definition for Testing Statistical Hypotheses from Fuzzy Information, Fuzzy Sets and Systems, 20, (1986), 175–190.

    Google Scholar 

  3. M.R. Casals, M.A. Gil and P. Gil, The Fuzzy Decision Problem: An Approach to the Problem of Testing Statistical Hipotheses with Fuzzy Information, European J. Oper. Res., 27, (1986), 371–382.

    Google Scholar 

  4. M.R. Casals, Contraste Secuencial Bayesiano entre Hipótesis Simples con Información Difusa, Actas de las XII Jornadas Luso-Espanholas de Matemática, Braga (Portugal), 1987.

    Google Scholar 

  5. T.S. Ferguson, Mathematical Statistics. A Decision Theoretic Approach (Academic Press, New York, 1967).

    Google Scholar 

  6. B.W. Lindgren, Introduction to Probability Statistics (Cambridge University Press, 1970).

    Google Scholar 

  7. H. Tanaka, T. Okuda and K. Asai, Fuzzy Information and Decision in Statistical Model, Advances in Fuzzy Sets Theory and Applications (North-Holland, 1979), 303–320.

    Google Scholar 

  8. L.A. Zadeh, Fuzzy Sets, Inform. Contr., 8, (1965), 338–353.

    Google Scholar 

  9. L.A. Zadeh, Probability Measures of Fuzzy Events, J. Math. Anal. Appl., 23, (1968), 421–427.

    Google Scholar 

  10. L.A. Zadeh, Fuzzy Sets as a basis for a Theory of Possibility, Fuzzy Sets and Systems, 1,1, (1978), 3–28.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Oviedo, Oviedo, Spain

    M. Rosa Casals & Antonia Salas

Authors
  1. M. Rosa Casals
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Antonia Salas
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

B. Bouchon L. Saitta R. R. Yager

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Casals, M.R., Salas, A. (1988). Sequential bayesian test from fuzzy experimental information. In: Bouchon, B., Saitta, L., Yager, R.R. (eds) Uncertainty and Intelligent Systems. IPMU 1988. Lecture Notes in Computer Science, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19402-9_87

Download citation

  • DOI: https://doi.org/10.1007/3-540-19402-9_87

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19402-6

  • Online ISBN: 978-3-540-39255-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation