articleIEEE Transactions on Instrumentation and MeasurementJan 1, 2024Closed access

Optimized Fuzzy Slope Entropy: A Complexity Measure for Nonlinear Time Series

Xi'an University of Technology

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Abstract

Entropy has long been a subject that has attracted researchers from a diverse range of fields, including healthcare, finance, and fault detection. Slope entropy (SE) has recently been proposed as a new approach to address the shortcomings of permutation entropy (PE), which ignores magnitude information; however, SE is sensitive to parameters $\boldsymbol {\gamma }$ and $\boldsymbol {\delta }$ , and some information may be lost when segmenting symbols. The $\boldsymbol {\delta }$ , moreover, has only a limited gain on the time series classification performance of SE and increases the algorithm complexity. Considering the aforementioned limitations, this study introduces the concept of fuzzification to the…

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Authors

5

Topics & keywords

Keywords
  • Nonlinear system
  • Series (stratigraphy)
  • Entropy (arrow of time)
  • Measure (data warehouse)
  • Fuzzy logic
  • Time series
  • Mathematics
  • Control theory (sociology)
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