Introduction to Fuzzy Reliability

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. Language: English