Why Fuzzy Transform Is Efficient in Large-Scale Prediction Problems : A Theoretical Explanation
Joint Authors
Perfilieva, Irina G.
Kreinovich, Vladik
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-27
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Information Technology and Computer Science
Abstract EN
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.
American Psychological Association (APA)
Perfilieva, Irina G.& Kreinovich, Vladik. 2011. Why Fuzzy Transform Is Efficient in Large-Scale Prediction Problems : A Theoretical Explanation. Advances in Fuzzy Systems،Vol. 2011, no. 2011, pp.1-5.
https://search.emarefa.net/detail/BIM-513747
Modern Language Association (MLA)
Perfilieva, Irina G.& Kreinovich, Vladik. Why Fuzzy Transform Is Efficient in Large-Scale Prediction Problems : A Theoretical Explanation. Advances in Fuzzy Systems No. 2011 (2011), pp.1-5.
https://search.emarefa.net/detail/BIM-513747
American Medical Association (AMA)
Perfilieva, Irina G.& Kreinovich, Vladik. Why Fuzzy Transform Is Efficient in Large-Scale Prediction Problems : A Theoretical Explanation. Advances in Fuzzy Systems. 2011. Vol. 2011, no. 2011, pp.1-5.
https://search.emarefa.net/detail/BIM-513747
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513747