Contents

Preface

1Dynamic fuzzy machine learning model

1.1Problem statement

1.2DFML model

1.2.1Basic concept of DFMLs

1.2.2DFML algorithm

1.2.3DFML geometric model description

1.2.4Simulation examples

1.3Relative algorithm of DFMLS

1.3.1Parameter learning algorithm for DFMLS

1.3.2Maximum likelihood estimation algorithm in DFMLS

1.4Process control model of DFMLS

1.4.1Process control model of DFMLS

1.4.2Stability analysis

1.4.3Design of dynamic fuzzy learning controller

1.4.4Simulation examples

1.5Dynamic fuzzy relational learning algorithm

1.5.1An outline of relational learning

1.5.2Problem introduction

1.5.3DFRL algorithm

1.5.4Algorithm analysis

1.6Summary

References

2Dynamic fuzzy autonomic learning subspace algorithm

2.1Research status of autonomic learning

2.2Theoretical system of autonomous learning subspace based on DFL

2.2.1Characteristics of AL

2.2.2Axiom system of AL subspace

2.3Algorithm of ALSS based on DFL

2.3.1Preparation of algorithm

2.3.2Algorithm of ALSS based on DFL

2.3.3Case analysis

2.4Summary

References

3Dynamic fuzzy decision tree learning

3.1Research status of decision trees

3.1.1Overseas research status

3.1.2Domestic research status

3.2Decision tree methods for a dynamic fuzzy lattice

3.2.1ID3 algorithm and examples

3.2.2Characteristics of dynamic fuzzy analysis of decision trees

3.2.3Representation methods for dynamic fuzzy problems in decision trees

3.2.4DFDT classification attribute selection algorithm

3.2.5Dynamic fuzzy binary decision tree

3.3DFDT special attribute processing technique

3.3.1Classification of attributes

3.3.2Process used for enumerated attributes by DFDT

3.3.3Process used for numeric attributes by DFDT

3.3.4Methods to process missing value attributes in DFDT

3.4Pruning strategy of DFDT

3.4.1Reasons for pruning

3.4.2Methods of pruning

3.4.3DFDT pruning strategy

3.5Application

3.5.1Comparison of algorithm execution

3.5.2Comparison of training accuracy

3.5.3Comprehensibility comparisons

3.6Summary

References

4Concept learning based on dynamic fuzzy sets

4.1Relationship between dynamic fuzzy sets and concept learning

4.2Representation model of dynamic fuzzy concepts

4.3DF concept learning space model

4.3.1Order model of DF concept learning

4.3.2DF concept learning calculation model

4.3.3Dimensionality reduction model of DF instances

4.3.4Dimensionality reduction model of DF attribute space

4.4Concept learning model based on DF lattice

4.4.1Construction of classical concept lattice

4.4.2Constructing lattice algorithm based on DFS

4.4.3DF Concept Lattice Reduction

4.4.4Extraction of DF concept rules

4.4.5Examples of algorithms and experimental analysis

4.5Concept learning model based on DFDT

4.5.1DF concept tree and generating strategy

4.5.2Generation of DF Concepts

4.5.3DF concept rule extraction and matching algorithm

4.6Application examples and analysis

4.6.1Face recognition experiment based on DF concept lattice

4.6.2Data classification experiments on UCI datasets

4.7Summary

References

5Semi-supervised multi-task learning based on dynamic fuzzy sets

5.1Introduction

5.1.1Review of semi-supervised multi-task learning

5.1.2Problem statement

5.2Semi-supervised multi-task learning model

5.2.1Semi-supervised learning

5.2.2Multi-task learning

5.3Semi-supervised multi-task learning model based on DFS

5.3.1Dynamic fuzzy machine learning model

5.3.2Dynamic fuzzy semi-supervised learning model

5.3.3DFSSMTL model

5.4Dynamic fuzzy semi-supervised multi-task matching algorithm

5.4.1Dynamic fuzzy random probability

5.4.2Dynamic fuzzy semi-supervised multi-task matching algorithm

5.4.3Case analysis

5.5DFSSMTAL algorithm

5.5.1Mahalanobis distance metric

5.5.2Dynamic fuzzy K-nearest neighbour algorithm

5.5.3Dynamic fuzzy semi-supervised adaptive learning algorithm

5.6Summary

References

6Dynamic fuzzy hierarchical relationships

6.1Introduction

6.1.1Research progress of relationship learning

6.1.2Questions proposed

6.1.3Chapter structure

6.2Inductive logic programming

6.3Dynamic fuzzy HRL

6.3.1DFL relation learning algorithm (DFLR)

6.3.2Sample analysis

6.3.3Dynamic fuzzy matrix HRL algorithm

6.3.4Sample analysis

6.4Dynamic fuzzy tree hierarchical relation learning

6.4.1Dynamic fuzzy tree

6.4.2Dynamic fuzzy tree hierarchy relationship learning algorithm

6.4.3Sample analysis

6.5Dynamic fuzzy graph hierarchical relationship learning

6.5.1Basic concept of dynamic fuzzy graph

6.5.2Dynamic fuzzy graph hierarchical relationship learning algorithm

6.5.3Sample analysis

6.6Sample application and analysis

6.6.1Question description

6.6.2Sample analysis

6.7Summary

References

7Multi-agent learning model based on dynamic fuzzy logic

7.1Introduction

7.1.1Strategic classification of the agent learning method

7.1.2Characteristics of agent learning

7.1.3Related work

7.2Agent mental model based on DFL

7.2.1Model structure

7.2.2Related axioms

7.2.3Working mechanism

7.3Single-agent learning algorithm based on DFL

7.3.1Learning task

7.3.2Immediate return single-agent learning algorithm based on DFL

7.3.3Q-learning function based on DFL

7.3.4Q-learning algorithm based on DFL

7.4Multi-agent learning algorithm based on DFL

7.4.1Multi-agent learning model based on DFL

7.4.2Cooperative multi-agent learning algorithm based on DFL

7.4.3Competitive multi-agent learning algorithm based on DFL

7.5Summary

References

8Appendix

8.1Dynamic fuzzy sets

8.1.1Definition of dynamic fuzzy sets

8.1.2Operation of dynamic fuzzy sets

8.1.3Cut set of dynamic fuzzy sets

8.1.4Dynamic fuzzy sets decomposition theorem

8.2Dynamic fuzzy relations

8.2.1The conception dynamic fuzzy relations

8.2.2Property of dynamic fuzzy relations

8.2.3Dynamic fuzzy matrix

8.3Dynamic fuzzy logic

8.3.1Dynamic fuzzy Boolean variable

8.3.2DF proposition logic formation

8.4Dynamic fuzzy lattice and its property

Index

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