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Beschreibung

This volume is a valuable source of recent knowledge about advanced time series forecasting techniques such as artificial neural networks, fuzzy time series, or hybrid approaches. New forecasting frameworks are discussed and their application is demonstrated. The second volume of the series includes applications of some powerful forecasting approaches with a focus on fuzzy time series methods. Chapters integrate these methods with concepts such as neural networks, high order multivariate systems, deterministic trends, distance measurement and much more. The chapters are contributed by eminent scholars and serve to motivate and accelerate future progress while introducing new branches of time series forecasting. This book is a valuable resource for MSc and PhD students, academic personnel and researchers seeking updated and critically important information on the concepts of advanced time series forecasting and its applications.

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Seitenzahl: 296

Veröffentlichungsjahr: 2017

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Table of Contents
BENTHAM SCIENCE PUBLISHERS LTD.
End User License Agreement (for non-institutional, personal use)
Usage Rules:
Disclaimer:
Limitation of Liability:
General:
PREFACE
List of Contributors
Fuzzy Time Series Forecasting Models Evaluation Based on A Novel Distance Measure
Abstract
INTRODUCTION
THE PROPOSED DISTANCE MEASURE AND THE SUGGESTED PERFORMANCE CRITERION
THE APPLICATION
CONCLUDING REMARKS
CONFLICT OF INTEREST
ACKNOWLEDGEMENTS
REFERENCES
A New Fuzzy Time Series Forecasting Model with Neural Network Structure
Abstract
INTRODUCTION
PROPOSED METHOD
APPLICATION
CONCLUSIONS AND DISCUSSIONS
CONFLICT OF INTEREST
ACKNOWLEDGEMENTS
REFERENCES
Two Factors High Order Non Singleton Type-1 and Interval Type-2 Fuzzy Systems for Forecasting Time Series with Genetic Algorithm
Abstract
INTRODUCTION
Interval Type-2 Fuzzy Logic Sets and Systems
Type-2 Fuzzy Logic Sets
Non Singleton Interval Type-2 Fuzzy Logic Systems
Determination of Footprints of Uncertainty (Umf and Lmf) in Interval Type-2 Fuzzy Logic Sets
Fundamental Concepts of Fuzzy Time Series
Proposed Two Factors High Order Non Singleton Type-1 and Interval Type-2 Fuzzy Time Series Systems
Tuning Method for Type-1 and Interval Type-2 FTSs with Genetic Algorithm
Experimental Results by Temperature Prediction and TAIEX Forecasting
Temperature Prediction with Proposed Method
TAIEX Forecasting By Applying the Proposed Method with Genetic Algorithm
GA Procedure
Selection and Pairing
Crossover
Mutation and Reinsertion
Termination Condition
Type Reduction and Defuzzification
CONCLUSION AND FUTURE WORKS
CONFLICT OF INTEREST
ACKNOWLEDGEMENTS
REFERENCES
A New Neural Network Model with Deterministic Trend and Seasonality Components for Time Series Forecasting
Abstract
INTRODUCTION
CLASSICAL TIME SERIES FORECASTING MODELS
ARTIFICIAL NEURAL NETWORKS FOR FORECASTING TIME SERIES
A NEW ARTIFICIAL NEURAL NETWORK WITH DETERMINISTIC COMPONENTS
APPLICATIONS
CONCLUSION
CONFLICT OF INTEREST
ACKNOWLEDGEMENTS
REFERENCES
A Fuzzy Time Series Approach Based on Genetic Algorithm with Single Analysis Process
Abstract
INTRODUCTION
FUZZY TIME SERIES
RELATED METHODS
Genetic Algorithm (GA)
Single Multiplicative Neuron Model
PROPOSED METHOD
APPLICATIONS
CONCLUSION AND DISCUSSION
CONFLICT OF INTEREST
ACKNOWLEDGEMENTS
REFERENCES
Forecasting Stock Exchanges with Fuzzy Time Series Approach Based on Markov Chain Transition Matrix
Abstract
INTRODUCTION
FUZZY TIME SERIES
TSAUR ‘s FUZZY TIME SERIES MARKOV CHAIN MODEL
THE IMPLEMENTATION
CONCLUSION
CONFLICT OF INTEREST
ACKNOWLEDGEMENTS
REFERENCES
A New High Order Multivariate Fuzzy Time Series Forecasting Model
Abstract
INTRODUCTION
RELATED METHODOLOGY
The Fuzzy C-Means (FCM) Clustering Method
Single Multiplicative Neuron Model Artificial Neural Network (SMN-ANN)
Fuzzy Time Series
THE PROPOSED METHOD
APPLICATIONS
CONCLUSIONS AND DISCUSSION
CONFLICT OF INTEREST
ACKNOWLEDGEMENTS
REFERENCES
Fuzzy Functions Approach for Time Series Forecasting
Abstract
INTRODUCTION
TYPE-1 FUZZY FUNCTIONS APPROACH
IMPLEMENTATION
Australian Beer Consumption Time Series
Turkey Electricity Consumption Time Series
CONCLUSIONS
CONFLICT OF INTEREST
ACKNOWLEDGEMENTS
REFERENCES
Recurrent ANFIS for Time Series Forecasting
Abstract
INTRODUCTION
RECURRENT ADAPTIVE NETWORK FUZZY INFERENCE SYSTEMS
APPLICATION
CONCLUSION
CONFLICT OF INTEREST
ACKNOWLEDGEMENTS
REFERENCES
A Hybrid Method for Forecasting of Fuzzy Time Series
Abstract
INTRODUCTION
THE METHODS USED IN THIS STUDY
Fuzzy Time Series
Genetic Algorithm
Differential Evolution Algorithm
PROPOSED METHOD
APPLICATION
Analysis of Canadian Lynx Data
CONCLUSIONS
CONFLICT OF INTEREST
ACKNOWLEDGEMENTS
REFERENCES

Advances in Time Series Forecasting

(Volume 2)

Edited By

Cagdas Hakan Aladag

Department of Mechanical and Industrial Engineering,
University of Toronto, Canada
Department of Statistics, Hacettepe University,
Turkey

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PREFACE

Human interest in the future can be traced back to prehistoric times. People have always wanted to see what can happen in the future. The future is unknown and mysterious. People have always tried to solve the mystery of the future by using different ways for profit, fame, power or just curiosity sake. Today forecasting is a multibillion dollar industry. All economic publications publish many economic forecasting studies; political writers proclaim on political trends and forthcoming government policies; stockbrokers and financial experts predict stock market trends, when to buy, and what stocks to choose; and many other examples can be given which have application to other fields.

Before making plans or making decisions, an estimate must be made of what conditions will exist over some future period. It is a well-known fact that there is uncertainty about the future. In order to predict to future by dealing with this uncertainty, forecasting is performed. At the present time, forecasting is a challenge which has to be overcome in many fields of application. Forecasting can be considered as a process of using various tools and techniques. Many methods for forecasting the future have been proposed in the literature over the past few decades because of the importance of this popular topic. One way to forecast the future is to use time series analysis. There have been many time series forecasting approaches in the literature. It is possible to divide these approaches into two subclasses which are conventional and advanced forecasting methods. Since conventional approaches such as Box-Jenkins methods has some restrictions such as some assumptions, they cannot always produce reliable forecasts for real world time series. Furthermore, conventional approaches cannot model some real world time series because of the specific characteristic of data. Advanced methods such as neural networks, fuzzy time series, or hybrid approaches have been recently used in many applications in order to deal with these restrictions arising from conventional methods and to get more reliable forecasts. Most of the time, these approaches have been competed to each other. On the other hand, it should be noted that these approaches are complementary rather than competitive. For example, hybrid approaches are very effective forecasting tools. And, these approaches sometimes combine conventional and advanced forecasting methods.

The book intends to be a valuable source of recent knowledge about advanced time series forecasting techniques. New capable advanced forecasting frameworks are discussed and their applicability is shown. The book includes applications of some powerful recent forecasting approaches to real world time series. Besides recent advanced forecasting methods, new efficient forecasting methods are firstly introduced in the book. The readers can find useful information about advanced time series forecasting, as well as its application to real-life problems in various domains. I hope the materials covered in this book, provided by the respectful scholars in the field, motivate and accelerate future progress and introduce new branches off the time series forecasting.

In Chapter 1, Aladag and Turksen have introduced a new performance measure by defining a novel distance measure to evaluate forecasting performance of fuzzy time series. Bas and Egrioglu, in Chapter 2, have suggested a novel fuzzy time series forecasting approach that has a network structure. In Chapter 3, Zarandi et al. has discussed some Type-1 and Type-2 fuzzy time series forecasting models. Chapter 4, by Egrioglu et al., introduce a new neural network model including deterministic trend and seasonality components. In Chapter 5, Yolcu has presented a fuzzy time series method based on genetic algorithms. Aladag and Guney, in Chapter 6, have applied a fuzzy time series forecasting model based on Markov chain transition matrix to stock exchanges. In Cahapter 7, Yolcu has proposed a new high order multivariate fuzzy time series forecasting model. Chapter 8, by Dalar et al., has discussed a framework for using fuzzy functions in fuzzy time series forecasting. Sarica et al., in Chapter 9, have introduced Recurrent ANFIS model for time series forecasting. In Chapter 10, Bas has proposed a hybrid forecasting approach which combines genetic algorithms, differential evolution algorithms, and fuzzy time series.

The editor would also like to express his sincere thanks to all authors for their valuable contributions. The editor would also like to acknowledge valuable assistance from Shehzad Naqvi from Bentham Science Publishers.

Dr. Cagdas Hakan Aladag Knowledge/Intelligence Systems Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Canada Department of Statistics, Faculty of Science, Hacettepe University, Ankara, Turkey

List of Contributors

Ali Z. DalarDepartment of Statistics, Faculty of Arts and Sciences, Giresun University, Giresun, TurkeyBarıs AsıkgilDepartment of Statistics, Faculty of Arts and Science, Marmara University, İstanbul, TurkeyBusenur SarıcaDepartment of Statistics, Faculty of Arts and Science, Marmara University, İstanbul, TurkeyCagdas Hakan AladagKnowledge/Intelligence Systems Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Canada Department of Statistics, Faculty of Science, Hacettepe University, Ankara, TurkeyEren BasDepartment of Statistics, Faculty of Arts and Sciences, Giresun University, Giresun, TurkeyErol EgriogluDepartment of Statistics, Faculty of Arts and Sciences, Giresun University, Giresun, TurkeyHilal GuneyDepartment of Statistics, Gazi University, Ankara, TurkeyI. Burhan TurksenDepartment of Industrial Engineering, TOBB University of Economics and Technology, Ankara, Turkey Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, CanadaM. YalinezhaadDepartment of Industrial Engineering and Management Systems, Amirkabir University of Technology (Polytechnic of Tehran), Tehran, IranM.H. Fazel ZarandiDepartment of Industrial Engineering and Management Systems, Amirkabir University of Technology (Polytechnic of Tehran), Tehran, IranOzge Cagcag YolcuDepartment of Industrial Engineering, Faculty of Engineering, Giresun University, Giresun, TurkeyUfuk YolcuDepartment of Statistics, Faculty of Science, Ankara University, Ankara, Turkey Department of Econometrics, Faculty of Economics and Administrative Sciences, Giresun University, Giresun, Turkey

Fuzzy Time Series Forecasting Models Evaluation Based on A Novel Distance Measure

Cagdas Hakan Aladag1,*,I. Burhan Turksen2
1Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Canada
2Department of Industrial Engineering, TOBB University of Economics and Technology, Ankara, Turkey

Abstract

In the literature, many models based on fuzzy systems have been utilized to solve various real world problems from different application areas. One of this areas is time series forecasting. Successful forecasting results have been obtained from fuzzy time series forecasting models in many studies. To determine the best fuzzy time series model among possible forecasting models is a vital decision. In order to evaluate fuzzy time series forecasting models, conventional performance measures such as root mean square error or mean absolute percentage error have been widely utilized in the literature. However, the nature of fuzzy logic is not taking into consideration when such conventional criteria are employed since these criteria are computed over crisp values. When fuzzy time series forecasting models are evaluated, using criteria which work based on fuzzy logic characteristics is wiser. Therefore, Aladag and Turksen [2] suggested a new performance measure which is calculated based on membership values to evaluate fuzzy systems. It is called as membership value based performance measure. In this study, a novel distance measure is firstly defined and a new membership value based performance measure based on this new distance measure is proposed. The proposed criterion is also applied to real world time series in order to show the applicability of the suggested measure.

Keywords: Forecasting, Fuzzy time series, Membership value based performance measure, Membership values, Model evaluation, Performance criterion, Real world time serie.
*Corresponding author Cagdas Hakan Aladag: Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Canada; E-mail: [email protected]