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Fuzzy Probabilities

New Approach and Applications

  • James J. Buckley
Book

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

Table of contents

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

Fuzzy Probability theory decision theory fuzzy numbers fuzzy parameters fuzzy probability theory statistics uncertain probabilities

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-32388-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-25033-3
  • Online ISBN 978-3-540-32388-4
  • Series Print ISSN 1434-9922
  • Buy this book on publisher's site