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Uncertainty Theory

  • Dr. Baoding Liu

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

Table of contents

  1. Front Matter
    Pages I-X
  2. Dr. Baoding Liu
    Pages 1-18
  3. Dr. Baoding Liu
    Pages 19-80
  4. Dr. Baoding Liu
    Pages 81-156
  5. Dr. Baoding Liu
    Pages 157-204
  6. Dr. Baoding Liu
    Pages 205-234
  7. Dr. Baoding Liu
    Pages 235-236
  8. Back Matter
    Pages 237-255

About this book

Introduction

Uncertainty theory is a branch of mathematics based on normality, monotonicity, self-duality, and countable subadditivity axioms. The goal of uncertainty theory is to study the behavior of uncertain phenomena such as fuzziness and randomness. The main topics include probability theory, credibility theory, and chance theory. For this new edition the entire text has been totally rewritten. More importantly, the chapters on chance theory and uncertainty theory are completely new. This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The purpose is to equip the readers with an axiomatic approach to deal with uncertainty. Mathematicians, researchers, engineers, designers, and students in the field of mathematics, information science, operations research, industrial engineering, computer science, artificial intelligence, and management science will find this work a stimulating and useful reference.

Keywords

Credibility Theory Fuzzy Set Operations Research Probability Theory Random Fuzzy Theory Random Rough Theory Rough Fuzzy Theory Rough Sets Trust Theory Uncertainty artificial intelligence intelligence

Authors and affiliations

  • Dr. Baoding Liu
    • 1
  1. 1.Uncertainty Theory Laboratory Department of Mathematical SciencesTsinghua UniversityChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-73165-8
  • Copyright Information Springer 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-73164-1
  • Online ISBN 978-3-540-73165-8
  • Series Print ISSN 1434-9922
  • Buy this book on publisher's site