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Fuzzy Probabilities

New Approach and Applications

  • James J. Buckley

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 115)

Table of contents

  1. Front Matter
    Pages i-xi
  2. James J. Buckley
    Pages 1-6
  3. James J. Buckley
    Pages 7-30
  4. James J. Buckley
    Pages 31-49
  5. James J. Buckley
    Pages 51-60
  6. James J. Buckley
    Pages 61-69
  7. James J. Buckley
    Pages 71-83
  8. James J. Buckley
    Pages 85-93
  9. James J. Buckley
    Pages 95-108
  10. James J. Buckley
    Pages 109-113
  11. James J. Buckley
    Pages 115-123
  12. James J. Buckley
    Pages 125-132
  13. James J. Buckley
    Pages 133-137
  14. James J. Buckley
    Pages 139-144
  15. James J. Buckley
    Pages 145-146
  16. James J. Buckley
    Pages 147-150
  17. James J. Buckley
    Pages 151-155
  18. Back Matter
    Pages 157-166

About this book

Introduction

In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory.

Keywords

Extension control decision model decision problem decision theory fuzzy numbers fuzzy parameters fuzzy probability theory fuzzy sets probability theory uncertain probabilities

Authors and affiliations

  • James J. Buckley
    • 1
  1. 1.Mathematics DepartmentUniversity of Alabama at BirminghamBirminghamUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-86786-6
  • Copyright Information Physica-Verlag Heidelberg 2003
  • Publisher Name Physica-Verlag HD
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-86788-0
  • Online ISBN 978-3-642-86786-6
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site
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