●Content Summary
Introduction
Chapter 1 Introduction 1
1.1 Purpose and Significance 1
1.2 Summary of Research and Problems 2
1.2.1 Fault Tree Research 2
1.2.2  lti-Factor Influence and Fault Big Data 3
1.2.3 System Function Structure Analysis and Factor Space 
1.2.4 System Reliability and Influencing Factors 
1.2.5 loud Model and Similarity 8
1.2.6 Object Calassification and Similarity 11
1.3 Deficiency of System Reliability 12
1.4 Main Research Content 14
References 16
Chapter 2 Continuous Space Fault Tree 23
2.1 Concepts of CSFT 24
2.2 Fault Probability Distribution 26
2.2.1 Component Fault Probability Distribution 26
2.2.2 System Fault Probability Distribution 28
2.3 Importance Distributions 35
2.3.1 Probability Importance Distribution 35
2.3.2 Criticality Importance Distribution 37
2.4 System Fault Probability Distribution Trend 50
2.5 Calculation of MTLα 50
2.6 Conclusions 53
References 59
Chapter 3 Discrete Space Fault Tree 61
3.1 Discrete Space Fault Tree 61
3.2 Significance of DSFT Modifed Using Fuzzy Structured Element 65
3.3 Factor Projection Fitting Metho 66
3.4 Constructions and Applications of EDSFT 69
3.4.1 E-Characteristic Function 69
3.4.2 E-Component Fault Probability Distribution 73
3.4.3 E-System Fault Probability Distribution 74
3.4.4 E-Probability Importance Distribution 74
3.4.5 E-Criticality Importance Distribution 75
3.4.6 E-System Fault Probability Distribution Trend 75
3.4.7 E-Component Domain Importance 76
3.4.8 E-Factor Importance Distribution 78
3.4.9 EFactor Joint Importance Distribution 79
3.5 Conclusions 79
References 80
Chapter 4 Inward Analysis of System Factor Structure 83
4.1 Inward Analysis of System Factor Structure 84
4.2 Human-Machine Cognition 86
4.3 Table Method 87
4.4 Classification Reasoning Method 88
4.5 Mathematical Description of Cassification Reasoning Method 93
4.6 Item-By-Item Analyses 94
4.7 Mathematical Description of Item- By-Item Analyses 95
4.8 Conclusions 98
References 99
Chapter 5 Function Structure Analysis and Factor Space 101
5.1 Factor Analysis Method of Function Structue 103
5.1.1 Factors and Dimension Variabitity 103
5.1.2 Function Structure Analysis Space 104
5.2 Factor Logic Description of Function Structure 105
5.2.1 Axiom System of Function Structure Analyis 105
5.2.2 Minimization Method of System Function Structure 109
5.3 Analysis of System Function Structure 110
5.3.1 Analysis with Incomplete Information 111
5.3.2 Analysis with Complete Information 113
Reference 117
Chapter 6 System Reliability with Influencing Factors 119
6.1 Methodology of Concepts and Definition 121
6.2 Analysis of Relationship between Reliability and Infuencing Factors 124
6.2.1 Random Variable Decomposition Fomula 124
6.2.2 Causal Relationship Reasoning 126
6.2.3 Causal Concept Extraction 127
6.2.4 Background Relationship Analysis 127
6.2.5 Factor Dimension Reduction 128
6.2.6 Compression of Fault Probability Distribution 130
6.3 Algorithm Applation 132
6.3.1 Random Variable Decomposition Formula 132
6.3.2 Causal Relationship Reasoning 136
6.3.3 Causal Concept Extraction 144
6.3.4 Background Relationship Analysi 147
6.3.5 Factor Dimension Reduction 150
6.3.6 Cormpression of Fault Probability Distribution 153
6.4 Conclusions 156
References 158
Chapter 7 Cloudiation Space Fault Tee 161
7.1 Definitions of SFT 163
7.2 Construction of Cloudization Space Fault Tree 163
72.1 Basis of CLSFT 163
7.2.2 Cloudization Fauit Pobability Distribution 164
7.2.3 Cloudization Fauit Pobability Distribution Trend 165
7.2.4 Cloudization Importance Distribution Probability and Criticality 165
7.2.5 Cloudization Factor Importance and Joint Importance Distribution 166
7.2.6 Cloudization Component Domain Importance 167
7.2.7 Cloudization Path Set Domain and Cut Set Domain 168
7.2.8 Uncertainty Analysis of Rlibility Data 168
7.3 Example Analysis 169
7.3.1 Cloudization Fault Probability Distribution 170
7.3.2 Cloudization Fault Probability Distribution Trend 172
7.3.3 Cloudization Importance Distribution Probability and Criticality 178
7.3.4 Cloudization Importance Distribution of Factor and Factor Joint 181
7.3.5 Cloudization Component Domain Importance 185
7.3.6 Cloudization Path Set Domain and Cut Set Domain 187
73.7 Uncertainty Analysis of Reliability Data 187
7.4 Conclusions 196
References 196
Chapter 8 Cloud Similarity 199
8.1 Similarity Algorithms of Cloud Model 199
8.2 Cloud Similarity Computation Based on Envelope 201
8.3 Algorithm Application 203
8.4 Analyses of Algorithm Advantage 205
8.5 Conclusions 206
References 206
Chapter 9 Clustering Analysis and Similarity 207
9.1 Preliminary K nowledge 207
9.2 Concepts and Properties of Attribute Circle 209
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本書總結了這六年來空間故障樹理論發展的核心成果。將這些內容形成體繫，並首次以英文專著形式出版。空間故障樹理論是一套完整的，獨立的繫統可靠性分析框架；具有良好的適應性、擴展性和通用性，是自成體繫的方法論。本書以理論建立和推導為主，並輔以算例分析。按照理論發展過程編排結構。給出了空間故障樹的基本概念、思想、方法、結論等，並有機地貫串在一起，形成層次合理的理論體繫，既內容豐富，又顯得條理清楚。為體現方法本身特點和分析過程，使用了較為簡單的例子。以使讀者了解思想，不糾結於復雜的過程，進而突出方法本身。同時本書面向安全領域和繫統可靠性研究人員，因此我們更注重於可靠性研究的思想傳遞，以便開闊研究思路。