Uncertainty Theory

An Introduction to its Axiomatic Foundations

  • Baoding Liu

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 154)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Baoding Liu
    Pages 1-20
  3. Baoding Liu
    Pages 21-77
  4. Baoding Liu
    Pages 79-135
  5. Baoding Liu
    Pages 137-190
  6. Baoding Liu
    Pages 191-213
  7. Baoding Liu
    Pages 215-244
  8. Baoding Liu
    Pages 245-272
  9. Baoding Liu
    Pages 273-292
  10. Baoding Liu
    Pages 293-310
  11. Baoding Liu
    Pages 311-330
  12. Baoding Liu
    Pages 331-348
  13. Baoding Liu
    Pages 349-367
  14. Baoding Liu
    Pages 369-386
  15. Baoding Liu
    Pages 387-397
  16. Back Matter
    Pages 399-411

About this book


 Uncertainty Theory studies the behavior of random, fuzzy and rough events and is the generic name of probability theory, credibility theory, and trust theory. This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The main purpose is to equip the readers with an axiomatic approach to deal with uncertainty. Mathematicians, researchers, engineers, designers and students in the field of applied mathematics, operations research, statistics, industrial engineering, information science and management science will find this work a stimulating and useful reference.


Credibility Theory Probability theory Rough Fuzzy Theory Trust Theory applied mathematics behavior design fuzzy fuzzy set management mathematics operations research science statistics uncertainty

Authors and affiliations

  • Baoding Liu
    • 1
  1. 1.Uncertainty Theory Laboratory Dept. of Mathematical ScienceTsinghua UniversityBeijingChina

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-13262-3
  • Online ISBN 978-3-540-39987-2
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site
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