Adaptive Fuzzy C-Regression Modeling for Time Series Forecasting

The aim of the 2015 IFSA-EUSFLAT International Time Series Competition, Computational Intelligence in Forecasting (CIF), is to evaluate the performance of computational intelligence-based approaches to forecast time series of dierent nature. The participants must propose a unique consistent methodology for all time series. This paper suggests an adaptive fuzzy c-regression modeling approach (aFCR) for time series forecasting. The aFCR is a fuzzy clustering with ane prototypes modeling approach to develop fuzzy functional rule-based models. The approach uses participatory learning to adapt the model structure as it processes data as a stream of time series values. Computational experiments show that the aFCR forecaster is an eective tool to forecast time series.

[1]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[2]  P. Angelov,et al.  Evolving Fuzzy Systems from Data Streams in Real-Time , 2006, 2006 International Symposium on Evolving Fuzzy Systems.

[3]  Dobrivoje Popovic,et al.  Computational Intelligence in Time Series Forecasting: Theory and Engineering Applications (Advances in Industrial Control) , 2005 .

[4]  Plamen P. Angelov,et al.  Evolving Fuzzy-Rule-Based Classifiers From Data Streams , 2008, IEEE Transactions on Fuzzy Systems.

[5]  Plamen Angelov,et al.  Evolving Fuzzy Modeling Using Participatory Learning , 2010 .

[6]  Vladik Kreinovich,et al.  Fuzzy Rule Based Modeling as a Universal Approximation Tool , 1998 .

[7]  Rosangela Ballini,et al.  NEURAL NETWORKS APPLIED TO STOCK MARKET FORECASTING: AN EMPIRICAL ANALYSIS , 2010 .

[8]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  José Neves,et al.  Evolving Time Series Forecasting ARMA Models , 2004, J. Heuristics.

[10]  R.J. Hathaway,et al.  Switching regression models and fuzzy clustering , 1993, IEEE Trans. Fuzzy Syst..

[11]  Gunnar Rätsch,et al.  Predicting Time Series with Support Vector Machines , 1997, ICANN.

[12]  Rosangela Ballini,et al.  Top-down strategies based on adaptive fuzzy rule-based systems for daily time series forecasting , 2011 .

[13]  José Manuel Benítez,et al.  Smooth transition autoregressive models and fuzzy rule-based systems: Functional equivalence and consequences , 2007, Fuzzy Sets Syst..

[14]  D.P. Filev,et al.  An approach to online identification of Takagi-Sugeno fuzzy models , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[15]  Edwin Lughofer,et al.  Evolving Fuzzy Systems - Methodologies, Advanced Concepts and Applications , 2011, Studies in Fuzziness and Soft Computing.

[16]  Sundaram Suresh,et al.  A meta-cognitive interval type-2 fuzzy inference system and its projection based learning algorithm , 2014, Evol. Syst..

[17]  Paramasivan Saratchandran,et al.  Sequential Adaptive Fuzzy Inference System (SAFIS) for nonlinear system identification and prediction , 2006, Fuzzy Sets Syst..

[18]  Xiaodong Li,et al.  Time series forecasting by evolving artificial neural networks using genetic algorithms and differential evolution , 2010, The 2010 International Joint Conference on Neural Networks (IJCNN).

[19]  Tony White,et al.  The application of antigenic search techniques to time series forecasting , 2005, GECCO '05.

[20]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[21]  Narasimhan Sundararajan,et al.  A Fast and Accurate Online Sequential Learning Algorithm for Feedforward Networks , 2006, IEEE Transactions on Neural Networks.

[22]  Igor Skrjanc,et al.  Recursive fuzzy c-means clustering for recursive fuzzy identification of time-varying processes. , 2011, ISA transactions.

[23]  Walmir M. Caminhas,et al.  Fuzzy evolving linear regression trees , 2011, Evol. Syst..

[24]  Fernando A. C. Gomide,et al.  Enhanced evolving participatory learning fuzzy modeling: an application for asset returns volatility forecasting , 2014, Evol. Syst..

[25]  Edwin Lughofer,et al.  FLEXFIS: A Robust Incremental Learning Approach for Evolving Takagi–Sugeno Fuzzy Models , 2008, IEEE Transactions on Fuzzy Systems.

[26]  Nikola K. Kasabov,et al.  DENFIS: dynamic evolving neural-fuzzy inference system and its application for time-series prediction , 2002, IEEE Trans. Fuzzy Syst..

[27]  Dejan Dovzan,et al.  Evolving fuzzy-madel-based on c-regression clustering , 2014, 2014 IEEE Conference on Evolving and Adaptive Intelligent Systems (EAIS).

[28]  Steven C. Wheelwright,et al.  Forecasting methods and applications. , 1979 .

[29]  Stephen L. Chiu,et al.  Fuzzy Model Identification Based on Cluster Estimation , 1994, J. Intell. Fuzzy Syst..

[30]  N. Sundararajan,et al.  Extended sequential adaptive fuzzy inference system for classification problems , 2011, Evol. Syst..

[31]  Sven F. Crone,et al.  Advances in forecasting with neural networks? Empirical evidence from the NN3 competition on time series prediction , 2011 .

[32]  Sundaram Suresh,et al.  A meta-cognitive sequential learning algorithm for neuro-fuzzy inference system , 2012, Appl. Soft Comput..

[33]  Dejan Dovzan,et al.  Recursive clustering based on a Gustafson–Kessel algorithm , 2011, Evol. Syst..

[34]  José de Jesús Rubio,et al.  SOFMLS: Online Self-Organizing Fuzzy Modified Least-Squares Network , 2009, IEEE Transactions on Fuzzy Systems.

[35]  Plamen P. Angelov,et al.  Simpl_eTS: a simplified method for learning evolving Takagi-Sugeno fuzzy models , 2005, The 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05..

[36]  Plamen Angelov,et al.  Evolving Takagi-Sugeno fuzzy systems from data streams (eTS+). , 2010 .