The significance of the existence of the system is to realize its function and maintain its stability, that is, the reliability and stability of the reliability. Reliability is affected by factors, component properties and system structure, and its changes are complex. In order to solve this problem, the authors proposed the space fault tree theory in 2012. This book is the first time that the fundamental part of the theory has been presented internationally. The authors of the book are Pro. Tiejun Cui and Dr. Shasha Li. Tiejun CUI was born in Shenyang, Liaoning, China in 1983. He received a Ph.D. degree in safety technology and engineering from Liaoning Technical University, China in 2015, and received two postdoctoral degrees. His research interests include safety system engineering, system reliability and system fault evolution processes. He is the author of several books and author and co-author of several publications in international journals, including papers that are indexed by SCI and EI. Shasha LI was born in Panjin, Liaoning, China, in 1988. She received a Ph.D. degree in safety management engineering from Liaoning Technical University, China in 2018. Her research interests include safety management engineering and system reliability. She is the author and co-author of several publications in International journals and Chinese journals and books, including papers that are indexed by SCI and EI. Space Fault Tree Theoryand System ReliabilityAnalysis 3 Content Summary 5 Introduction 7 Introduction 13 Purpose and Significance 13 Summary of Research and Problems 14 Fault Tree Research 14 Multi-Factor Influence and Fault Big Data 15 System Function Structure Analysis and Factor Space 16 System Reliability and Influencing Factors 19 Cloud Model and Similarity 20 Object Classification and Similarity 23 Deficiency of System Reliability 24 Main Research Content 26 References 28 Continuous Space Fault Tree 35 Concepts of CSFT 36 Fault Probability Distribution 38 Component Fault Probability Distribution 38 System Fault Probability Distribution 40 Importance Distributions 47 Probability Importance Distribution 47 Criticality Importance Distribution 49 System Fault Probability Distribution Trend 62 Calculation of MTLα 62 Conclusions 65 References 71 Discrete Space Fault Tree 73 Discrete Space Fault Tree 73 Significance of DSFT Modified Using Fuzzy Structured Element 77 Factor Projection Fitting Method 78 Constructions and Applications of EDSFT 81 E-Characteristic Function 81 E-Component Fault Probability Distribution 85 E-System Fault Probability Distribution 86 E-Probability Importance Distribution 86 E-Criticality Importance Distribution 87 E-System Fault Probability Distribution Trend 87 E-Component Domain Importance 88 E-Factor Importance Distribution 90 E-Factor Joint Importance Distribution 91 Conclusions 91 References 92 Inward Analysis of System Factor Structure 95 Inward Analysis of System Factor Structure 96 Human–Machine Cognition 98 Table Method 99 Classification Reasoning Method 100 Mathematical Description of Classification Reasoning Method 105 Item-By-Item Analyses 106 Mathematical Description of Item-By-Item Analyses 107 Conclusions 110 References 111 Function Structure Analysis and Factor Space 113 Factor Analysis Method of Function Structure 115 Factors and Dimension Variability 115 Function Structure Analysis Space 116 Factor Logic Description of Function Structure 117 Axiom System of Function Structure Analysis 117 Minimization Method of System Function Structure 121 Analysis of System Function Structure 122 Analysis with Incomplete Information 123 Analysis with Complete Information 125 Conclusions 128 References 129 System Reliability with Influencing Factors 131 Methodology of Concepts and Definitions 133 Analysis of Relationship Between Reliability and Influencing Factors 136 Random Variable Decomposition Formula 136 Causal Relationship Reasoning 138 Causal Concept Extraction 139 Background Relationship Analysis 139 Factor Dimension Reduction 140 Compression of Fault Probability Distribution 142 Algorithm Application 144 Random Variable Decomposition Formula 144 Causal Relationship Reasoning 148 Causal Concept Extraction 156 Background Relationship Analysis 159 Factor Dimension Reduction 162 Compression of Fault Probability Distribution 165 Conclusions 168 References 170 Cloudization Space Fault Tree 173 Definitions of SFT 175 Construction of Cloudization Space Fault Tree 175 Basis of CLSFT 176 Cloudization Fault Probability Distribution 177 Cloudization Fault Probability Distribution Trend 177 Cloudization Importance Distribution Probability and Criticality 178 Cloudization Factor Importance and Joint Importance Distribution 178 Cloudization Component Domain Importance 179 Cloudization Path Set Domain and Cut Set Domain 180 Uncertainty Analysis of Reliability Data 180 Example Analysis 181 Cloudization Fault Probability Distribution 182 Cloudization Fault Probability Distribution Trend 184 Cloudization Importance Distribution Probability and Criticality 190 Cloudization Importance Distribution of Factor and Factor Joint 193 Cloudization Component Domain Importance 197 Cloudization Path Set Domain and Cut Set Domain 199 Uncertainty Analysis of Reliability Data 199 Conclusions 208 References 208 Cloud Similarity 211 Similarity Algorithms of Cloud Model 211 Cloud Similarity Computation Based on Envelope 213 Algorithm Application 215 Analyses of Algorithm Advantage 217 Conclusions 218 References 218 Clustering Analysis and Similarity 219 Preliminary Knowledge 219 Concepts and Properties of Attribute Circle 221 Object Clustering Analysis Method 223 Improvements of Clustering Analysis 225 Example Analyses 228 Conclusions 232 References 234 Development and Future Prospects 237 Summary of Space Fault Tree 237 Future Development of Space Fault Tree 239
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