Introduction to Fuzzy Reliability
Published on 31. July 1996
Book
Hardback
XVII, 311 pages
978-0-7923-9737-3 (ISBN)
Description
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.
More details
Series
Edition
1996 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XVII, 311 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 24 mm
Weight
662 gr
ISBN-13
978-0-7923-9737-3 (9780792397373)
DOI
10.1007/978-1-4613-1403-5
Schweitzer Classification
Other editions
Additional editions
Kai-Yuan Cai
Introduction to Fuzzy Reliability
Book
09/2011
Springer
€171.19
Shipment within 15-20 days
Content
1 Introduction.- 1.1 System Failure Engineering.- 1.2 Understanding Uncertainty.- 1.3 Why Fuzzy Methodology in System Failure Engineering.- 1.4 Overview on Fuzzy Methodology in System Failure Engineering.- References.- 2 Fuzzy Sets and Possibility Spaces.- 2.1 Fuzzy Sets.- 2.2 Fuzzy Numbers.- 2.3 Possibility Spaces and Conditional Possibility.- 2.4 Possibilistic Variables.- 2.5 Existence Theorem of Possibility Space.- References.- 3 Fuzzy Methods in Probist Systems.- 3.1 Probist Reliability as a Fuzzy Number.- 3.2 Fuzzy Probist System Reliability.- 3.3 Fuzzy Probist Fault Tree Analysis.- References.- 4 Profust Reliability Theory.- 4.1 Basic Concepts.- 4.2 Typical Systems.- 4.3 Mixture Models.- 4.4 Coherent Systems.- References.- 5 Profust Reliability Behavior of Engineering Systems.- 5.1 Street-Lighting Lamps Replacement Problem.- 5.2 Gracefully Degradable Computing Systems.- 5.3 Computer Communication Networks.- 5.4 Computer Integrated Manufacturing Systems.- 5.5 Fly-by-Wire Control Systems.- References.- 6 Posbist Reliability Theory in Terms of System Lifetimes.- 6.1 System Lifetimes.- 6.2 Series Systems.- 6.3 Parallel Systems.- 6.4 Coherent Systems.- 6.5 Fault-Tolerant Systems.- References.- 7 Posbist Reliability Theory in Terms of System States.- 7.1 System States.- 7.2 Series Systems.- 7.3 Parallel Systems.- 7.4 Coherent Systems.- 7.5 Reliability Importance.- 7.6 Typical Systems with Two Types of Failures.- References.- 8 Fuzzy Methods in Software Reliability Modeling.- 8.1 Continuous-Time Software Reliability Modeling.- 8.2 Reliability Behavior of Flight Control Software.- 8.3 Software Reliability Validation.- 8.4 Discrete-Time Software Reliability Modeling.- 8.5 Combined Hardware-Software Reliability Modeling.- References.- 9 Mathematical Problems.- References.-Appendix 2 Liu-Huang Algorithm.- Appendix 3 Software Reliability Data.