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Table of Contents
Intro
Preface
Contents
Abbreviations
List of Figures
List of Tables
Part I Literature Review and Truth Determination of FPNs
1 FPNs for Knowledge Representation and Reasoning: A Literature Review
1.1 Introduction
1.2 FPRs and FPNs
1.2.1 FPRs
1.2.2 FPNs
1.3 Improvements of FPNs
1.3.1 Reasoning Algorithms
1.3.2 New FPN Models
1.4 Applications of FPNs
1.4.1 Operational Management
1.4.2 Fault Diagnosis and Risk Assessment
1.4.3 Wireless Sensor Networks
1.4.4 Transportation Systems
1.4.5 Biological and Healthcare Systems
1.4.6 Other Applications
1.5 Observations and Findings
1.6 Chapter Summary
References
2 FPNs for Knowledge Representation and Reasoning: A Bibliometric Analysis
2.1 Introduction
2.2 Research Methodology
2.3 Results and Discussions
2.3.1 Publication Trend in the FPN Field
2.3.2 Cooperation Network Analysis in the FPN Field
2.3.3 Co-Citation Analysis in the FPN Field
2.3.4 Keyword Analysis in the FPN Field
2.3.5 Application Field Analysis
2.4 Suggestions for Future Research
2.5 Chapter Summary
References
3 Determining Truth Degrees of Input Places in FPNs
3.1 Introduction
3.2 Preliminaries
3.2.1 Hesitant 2-Tuple Linguistic Term Sets
3.2.2 Interval 2-Tuple Linguistic Model
3.3 The Proposed Model
3.3.1 Assess the Truth Degrees of Input Places
3.3.2 Determine the Weight Vector of Experts
3.3.3 Compute the Truth Values of Input Places
3.4 Illustrative Example
3.5 Chapter Summary
References
Part II Improved FPNs for Knowledge Representation and Acquisition
4 Dynamic Adaptive Fuzzy Petri Nets for Knowledge Representation and Acquisition
4.1 Introduction
4.2 Fuzzy Evidential Reasoning Approach
4.2.1 Acquisition of Rule-Based Knowledge Using Belief Structures
4.2.2 Group Belief Structures
4.2.3 Defuzzification
4.3 Dynamic Adaptive Fuzzy Petri Nets
4.3.1 Definition of DAFPNs
4.3.2 DAFPN Representations for WFPRs
4.3.3 Execution Rules of DAFPNs
4.3.4 Concurrent Reasoning Algorithm of DAFPNs
4.4 An Illustrative Example
4.5 Chapter Summary
References
5 Interval-Valued Intuitionistic FPNs for Knowledge Representation and Acquisition
5.1 Introduction
5.2 Interval 2-Tuple Linguistic Variables
5.3 Interval-Valued Intuitionistic Fuzzy Petri Nets
5.3.1 Definition of IVIFPNs
5.3.2 Representations of IVIFPRs
5.3.3 Inference Algorithm of IVIFPNs
5.4 The Proposed KRA Model
5.5 Empirical Case Study
5.5.1 Background
5.5.2 Knowledge Acquisition
5.5.3 Knowledge Representation and Reasoning
5.6 Chapter Summary
References
6 Picture Fuzzy Petri Nets for Knowledge Representation and Acquisition
6.1 Introduction
6.2 Preliminaries
6.2.1 Picture Fuzzy Sets
6.2.2 Defuzzification of PFNs
6.3 Picture Fuzzy Petri Nets
6.3.1 Definition of PFPNs
Preface
Contents
Abbreviations
List of Figures
List of Tables
Part I Literature Review and Truth Determination of FPNs
1 FPNs for Knowledge Representation and Reasoning: A Literature Review
1.1 Introduction
1.2 FPRs and FPNs
1.2.1 FPRs
1.2.2 FPNs
1.3 Improvements of FPNs
1.3.1 Reasoning Algorithms
1.3.2 New FPN Models
1.4 Applications of FPNs
1.4.1 Operational Management
1.4.2 Fault Diagnosis and Risk Assessment
1.4.3 Wireless Sensor Networks
1.4.4 Transportation Systems
1.4.5 Biological and Healthcare Systems
1.4.6 Other Applications
1.5 Observations and Findings
1.6 Chapter Summary
References
2 FPNs for Knowledge Representation and Reasoning: A Bibliometric Analysis
2.1 Introduction
2.2 Research Methodology
2.3 Results and Discussions
2.3.1 Publication Trend in the FPN Field
2.3.2 Cooperation Network Analysis in the FPN Field
2.3.3 Co-Citation Analysis in the FPN Field
2.3.4 Keyword Analysis in the FPN Field
2.3.5 Application Field Analysis
2.4 Suggestions for Future Research
2.5 Chapter Summary
References
3 Determining Truth Degrees of Input Places in FPNs
3.1 Introduction
3.2 Preliminaries
3.2.1 Hesitant 2-Tuple Linguistic Term Sets
3.2.2 Interval 2-Tuple Linguistic Model
3.3 The Proposed Model
3.3.1 Assess the Truth Degrees of Input Places
3.3.2 Determine the Weight Vector of Experts
3.3.3 Compute the Truth Values of Input Places
3.4 Illustrative Example
3.5 Chapter Summary
References
Part II Improved FPNs for Knowledge Representation and Acquisition
4 Dynamic Adaptive Fuzzy Petri Nets for Knowledge Representation and Acquisition
4.1 Introduction
4.2 Fuzzy Evidential Reasoning Approach
4.2.1 Acquisition of Rule-Based Knowledge Using Belief Structures
4.2.2 Group Belief Structures
4.2.3 Defuzzification
4.3 Dynamic Adaptive Fuzzy Petri Nets
4.3.1 Definition of DAFPNs
4.3.2 DAFPN Representations for WFPRs
4.3.3 Execution Rules of DAFPNs
4.3.4 Concurrent Reasoning Algorithm of DAFPNs
4.4 An Illustrative Example
4.5 Chapter Summary
References
5 Interval-Valued Intuitionistic FPNs for Knowledge Representation and Acquisition
5.1 Introduction
5.2 Interval 2-Tuple Linguistic Variables
5.3 Interval-Valued Intuitionistic Fuzzy Petri Nets
5.3.1 Definition of IVIFPNs
5.3.2 Representations of IVIFPRs
5.3.3 Inference Algorithm of IVIFPNs
5.4 The Proposed KRA Model
5.5 Empirical Case Study
5.5.1 Background
5.5.2 Knowledge Acquisition
5.5.3 Knowledge Representation and Reasoning
5.6 Chapter Summary
References
6 Picture Fuzzy Petri Nets for Knowledge Representation and Acquisition
6.1 Introduction
6.2 Preliminaries
6.2.1 Picture Fuzzy Sets
6.2.2 Defuzzification of PFNs
6.3 Picture Fuzzy Petri Nets
6.3.1 Definition of PFPNs