This function computes the fuzzy rule-based ensemble of time-series forecasts. Several forecasting methods are used to predict future values of given time-series and a weighted sum is computed from them with weights being determined from a fuzzy rule base.
A source time-series in the ts time-series format. Note that the frequency of the time-series must to be set properly.
A forecasting horizon, i.e. the number of values to forecast.
This function computes the fuzzy rule-based ensemble of time-series forecasts. The evaluation comprises of the following steps:
Several features are extracted from the given time-series
length of the time-series
strength of trend
strength of seasonality
These features are used later to infer weights of the forecasting methods.
Several forecasting methods are applied on the given time-series
d to obtain
forecasts. Actually, the following methods are used:
ARIMA - by calling
auto.arima of the
Exponential Smoothing - by calling
ets of the
Random Walk with Drift - by calling
rwf of the
Theta - by calling
thetaf of the
Computed features are input to the fuzzy rule-based inference mechanism which yields
into weights of the forecasting methods. The fuzzy rule base is hardwired in this package
and it was obtained by performing data mining with the use of the
A weighted sum of forecasts is computed and returned as a result.
Result is a list of class
frbe with the following elements:
features - a data frame with computed features of the given time-series;
forecasts - a data frame with forecasts to be ensembled;
weights - weights of the forecasting methods as inferred from the features and
the hard-wired fuzzy rule base;
mean - the resulting ensembled forecast (computed as a weighted sum of forecasts).
<c5><a0>t<c4><9b>pni<c4><8d>ka, M., Burda, M., <c5><a0>t<c4><9b>pni<c4><8d>kov<c3><a1>, L. Fuzzy Rule Base Ensemble Generated from Data by Linguistic Associations Mining. FUZZY SET SYST. 2015.
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# prepare data (from the forecast package) library(forecast) horizon <- 10 train <- wineind[-1 * (length(wineind)-horizon+1):length(wineind)] test <- wineind[(length(wineind)-horizon+1):length(wineind)] # perform FRBE f <- frbe(ts(train, frequency=frequency(wineind)), h=horizon) # evaluate FRBE forecasts evalfrbe(f, test) # display forecast results f$mean
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