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sci-FTS: Using soft clustering on Intrinsic Mode Functions to model Fuzzy Time Series

Software Impacts(2022)

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Abstract
This manuscript introduces a new software, sci-FTS, which models time series by combining Signal Processing tools and Fuzzy Set Theory. Firstly, time series are decomposed into Intrinsic Mode Functions (IMFs), emphasizing instantaneous frequencies and amplitudes. Secondly, sci-FTS combines IMFs to extract deterministic influences, removing noises. Next, sci-FTS executes an algorithm that finds an adequate space partitioning to produce the fuzzy sets. Finally, Fuzzy Time Series steps are considered to predict observations. Our contributions are twofold: sci-FTS finds out similar patterns in observations to better model the universe of discourse; ii) models produced by sci-FTS overcome studies from the literature.
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Key words
Time series fuzzification,Decomposition,Fuzzy clustering,R,Python
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