Uncertainty Forecasting in Engineering

Preface

Contents

Abbreviations

1 Introduction

1.1 Application of Time Series for Forecasting in Engineering

1.2 Data Uncertainty and Fuzzy Time Series

1.3 Examples of Fuzzy Time Series

2 Mathematical Description of Uncertain Data

2.1 Fuzzy Variables

2.2 Fuzzy Random Variables

2.3 Fuzzy Random Processes

3 Analysis of Time Series Comprised of Uncertain Data

3.1 Plot of Fuzzy Time Series

3.2 Fuzzy Component Model

3.3 Stationary Fuzzy Time Series

3.4 Transformation of Fuzzy Time Series Using Filters

3.5 Modeling on the Basis of Specific Fuzzy Random Processes

3.6 Modeling on the Basis of Artificial Neural Networks

4 Forecasting of Time Series Comprised of Uncertain Data

4.1 Underlying Concept

4.2 Forecasting on the Basis of Specific Fuzzy Random Processes

4.3 Forecasting on the Basis of Artificial Neural Networks

5 Uncertain Forecasting in Engineering and Environmental Science

5.1 Model-Free Forecasting

5.2 Model-Based Forecasting

5.3 Applications

References

Index