Forecasting Cryptocurrency Time Series Using Fuzzy Transform, Fourier Transform and Fuzzy Inference System

In this paper we propose a new approach for forecasting the cryptocurrency time series, which combines the fuzzy transform and the fuzzy inference system. We also test whether fuzzy transform yields better results forecasting results in comparison to Fourier transform. Finally, we will investigate whether fuzzy rules used in fuzzy inference system can successfully capture high and low volatility moments in the time series, as well as high correlations between the three different cryptocurrencies.

[1]  Meng Joo Er,et al.  NARMAX time series model prediction: feedforward and recurrent fuzzy neural network approaches , 2005, Fuzzy Sets Syst..

[2]  Vilém Novák,et al.  Time Series Analysis and Prediction Based on Fuzzy Rules and the Fuzzy Transform , 2009, IFSA/EUSFLAT Conf..

[3]  Bernard De Baets,et al.  Advanced Image Compression on the Basis of Fuzzy Transforms , 2008 .

[4]  Subanar,et al.  Analysis of Financial Time Series Data Using Adaptive Neuro Fuzzy Inference System (ANFIS) , 2013 .

[5]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[6]  J. Contreras,et al.  ARIMA Models to Predict Next-Day Electricity Prices , 2002, IEEE Power Engineering Review.

[7]  Vilém Novák,et al.  ANALYSIS OF PERIODICAL TIME SERIES USING SOFT COMPUTING METHODS , 2008 .

[8]  Guoqiang Peter Zhang,et al.  Time series forecasting using a hybrid ARIMA and neural network model , 2003, Neurocomputing.

[9]  Thong Ngee Goh,et al.  A comparative study of neural network and Box-Jenkins ARIMA modeling in time series prediction , 2002 .

[10]  Vilém Novák,et al.  Learning rule base in linguistic expert systems , 2002, Soft Comput..

[11]  Neil Davey,et al.  Time Series Prediction and Neural Networks , 2001, J. Intell. Robotic Syst..

[12]  Philippe Masset,et al.  Analysis of Financial Time-Series Using Fourier and Wavelet Methods , 2008 .

[13]  Vilém Novák,et al.  Reasoning about mathematical fuzzy logic and its future , 2012, Fuzzy Sets Syst..

[14]  V. Davidavičienė,et al.  Fourier Analysis for Stock Price Forecasting: Assumption and Evidence , 2016 .

[15]  Vilém Novák,et al.  Logical structure of fuzzy IF-THEN rules , 2006, Fuzzy Sets Syst..

[16]  Martin Stepnicka,et al.  Linguistic approach to time series analysis and forecasts , 2010, International Conference on Fuzzy Systems.

[17]  Vilém Novák,et al.  Forecasting Direction of Trend of a Group of Analogous Time Series Using F-Transform and Fuzzy Natural Logic , 2015, Int. J. Comput. Intell. Syst..

[18]  Ivette Luna,et al.  FUZZY INFERENCE SYSTEMS FOR MULTI-STEP AHEAD DAILY INFLOW FORECASTING , 2017 .

[19]  Salvatore Sessa,et al.  An image coding/decoding method based on direct and inverse fuzzy transforms , 2008, Int. J. Approx. Reason..

[20]  Martin Štěpnička Fuzzy Transform for Practical Problems , 2007 .

[21]  Vilém Novák,et al.  On the semantics of perception‐based fuzzy logic deduction , 2004, Int. J. Intell. Syst..

[22]  Vladik Kreinovich,et al.  A new reconstruction from the F-transform components , 2016, Fuzzy Sets Syst..

[23]  Irina Perfilieva,et al.  Fuzzy transforms: Theory and applications , 2006, Fuzzy Sets Syst..

[24]  Martin Stepnicka,et al.  A neural network approach to the fuzzy transform , 2009, Fuzzy Sets Syst..