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  • © 2005

Fuzzy Probabilities

New Approach and Applications

Authors:

  • New method of dealing with imprecise probabilities, most of which not published before

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

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xi
  2. Introduction

    Pages 1-6
  3. Fuzzy Sets

    Pages 7-30
  4. Fuzzy Queuing Theory

    Pages 61-69
  5. Fuzzy Markov Chains

    Pages 71-83
  6. Fuzzy Inventory Control

    Pages 109-113
  7. Law of Large Numbers

    Pages 145-146
  8. Back Matter

    Pages 157-166

About this book

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.

Authors and Affiliations

  • Mathematics Department, University of Alabama at Birmingham, Birmingham

    James J. Buckley

Bibliographic Information

  • Book Title: Fuzzy Probabilities

  • Book Subtitle: New Approach and Applications

  • Authors: James J. Buckley

  • Series Title: Studies in Fuzziness and Soft Computing

  • DOI: https://doi.org/10.1007/3-540-32388-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2005

  • Hardcover ISBN: 978-3-540-25033-3Published: 11 March 2005

  • Softcover ISBN: 978-3-642-42133-4Published: 23 November 2014

  • eBook ISBN: 978-3-540-32388-4Published: 07 July 2006

  • Series ISSN: 1434-9922

  • Series E-ISSN: 1860-0808

  • Edition Number: 1

  • Number of Pages: XI, 168

  • Topics: Probability Theory and Stochastic Processes, Artificial Intelligence

Buy it now

Buying options

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
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

Other ways to access