TY - JOUR
A2 - Sessa, Salvatore
AU - Perfilieva, Irina
AU - Kreinovich, Vladik
PY - 2011
DA - 2011/07/27
TI - Why Fuzzy Transform Is Efficient in Large-Scale Prediction Problems: A Theoretical Explanation
SP - 985839
VL - 2011
AB - In many practical situations like weather prediction, we are interested in large-scale (averaged) value of the predicted quantities. For example, it is impossible to predict the exact future temperature at different spatial locations, but we can reasonably well predict average temperature over a region. Traditionally, to obtain such large-scale predictions, we first perform a detailed integration of the corresponding differential equation and then average the resulting detailed solution. This procedure is often very time-consuming, since we need to process all the details of the original data. In our previous papers, we have shown that similar quality large-scale prediction results can be obtained if, instead, we apply a much faster procedure—first average the inputs (by applying an appropriate fuzzy transform) and then use these averaged inputs to solve the corresponding (discretization of the) differential equation. In this paper, we provide a general theoretical explanation of why our semiheuristic method works, that is, why fuzzy transforms are efficient in large-scale predictions.
SN - 1687-7101
UR - https://doi.org/10.1155/2011/985839
DO - 10.1155/2011/985839
JF - Advances in Fuzzy Systems
PB - Hindawi Publishing Corporation
KW -
ER -