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Introduction to Fuzzy Reliability

  • Book
  • © 1996

Overview

Authors:
  1. Kai-Yuan Cai

    1. Department of Automatic Control, Beijing University of Aeronautics and Astronautics, Beijing, China

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Introduction

    • Kai-Yuan Cai
    Pages 1-33

  3. Fuzzy Sets and Possibility Spaces

    • Kai-Yuan Cai
    Pages 35-69

  4. Fuzzy Methods in Probist Systems

    • Kai-Yuan Cai
    Pages 71-85

  5. Profust Reliability Theory

    • Kai-Yuan Cai
    Pages 87-134

  6. Profust Reliability Behavior of Engineering Systems

    • Kai-Yuan Cai
    Pages 135-192

  7. Posbist Reliability Theory in Terms of System Lifetimes

    • Kai-Yuan Cai
    Pages 193-218

  8. Posbist Reliability Theory in Terms of System States

    • Kai-Yuan Cai
    Pages 219-242

  9. Fuzzy Methods in Software Reliability Modeling

    • Kai-Yuan Cai
    Pages 243-276

  10. Mathematical Problems

    • Kai-Yuan Cai
    Pages 277-279

  11. Back Matter

    Pages 281-311
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Keywords

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.

Authors and Affiliations

  • Department of Automatic Control, Beijing University of Aeronautics and Astronautics, Beijing, China

    Kai-Yuan Cai

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