醉染图书空间故障树理论与系统可靠分析(英文版)9787030660343

Contents
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　Multi-Factor Influence and Fault Big Data　3
1..　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　
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
.　Importance Distributions　35
..1　Probability Importance Distribution　35
..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 Decoition Fomula　124
6.2.2　Causal Relationship Reasoning　126
6..　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 Decoition 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..　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 o Aorithm Advantage　205
8.5　Conclusions　206
References　206
Chapter 9　Clustering Analysis and Similarity　207
9.1　Preliminary K nowledge　207
9.2　ConcepsndPrperties of Attribute Circle

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This book discusses the theory of the space fault tree framework, which is primarily used internationally for system reliability analysis. Through the integration of the factor space theory and the theory and method of intelligence, space fault tree can be used in intelligent analysis and big data processing. This book focuses on continuous space fault tree, discrete space fault tree, inward analysis of system factor structure, function structure analysis, system reliability with respect to influencing factors, cloudization space fault tree, cloud similarity, and clustering analysis and similarity.