Introduction to Fuzzy Reliability

  • Kai-Yuan Cai

Part of the The Kluwer International Series in Engineering and Computer Science book series (SECS, volume 363)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Kai-Yuan Cai
    Pages 1-33
  3. Kai-Yuan Cai
    Pages 35-69
  4. Kai-Yuan Cai
    Pages 71-85
  5. Kai-Yuan Cai
    Pages 87-134
  6. Kai-Yuan Cai
    Pages 277-279
  7. Back Matter
    Pages 281-311

About this book


Introduction to Fuzzy Reliability treats fuzzy methodology in hardware reliability and software reliability in a relatively systematic manner. The contents of this book are organized as follows. Chapter 1 places reliability engineering in the scope of a broader area, i.e. system failure engineering. Readers will find that although this book is confined to hardware and software reliability, it may be useful for other aspects of system failure engineering, like maintenance and quality control. Chapter 2 contains the elementary knowledge of fuzzy sets and possibility spaces which are required reading for the rest of this book. This chapter is included for the overall completeness of the book, but a few points (e.g. definition of conditional possibility and existence theorem of possibility space) may be new. Chapter 3 discusses how to calculate probist system reliability when the component reliabilities are represented by fuzzy numbers, and how to analyze fault trees when probabilities of basic events are fuzzy. Chapter 4 presents the basic theory of profust reliability, whereas Chapter 5 analyzes the profust reliability behavior of a number of engineering systems. Chapters 6 and 7 are devoted to probist reliability theory from two different perspectives. Chapter 8 discusses how to model software reliability behavior by using fuzzy methodology. Chapter 9 includes a number of mathematical problems which are raised by applications of fuzzy methodology in hardware and software reliability, but may be important for fuzzy set and possibility theories.


algorithms behavior control fuzzy fuzzy methods fuzzy sets knowledge modeling software

Authors and affiliations

  • Kai-Yuan Cai
    • 1
  1. 1.Department of Automatic ControlBeijing University of Aeronautics and AstronauticsBeijingChina

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag US 1996
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8608-0
  • Online ISBN 978-1-4613-1403-5
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site