Algorithms (May 2023)

Time Series Analysis by Fuzzy Logic Methods

  • Sergey M. Agayan,
  • Dmitriy A. Kamaev,
  • Shamil R. Bogoutdinov,
  • Andron O. Aleksanyan,
  • Boris V. Dzeranov

DOI
https://doi.org/10.3390/a16050238
Journal volume & issue
Vol. 16, no. 5
p. 238

Abstract

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The method of analyzing data known as Discrete Mathematical Analysis (DMA) incorporates fuzzy mathematics and logic. This paper focuses on applying DMA to study the morphology of time series by utilizing the language of fuzzy mathematics. The morphological characteristics of the time series, such as background, slopes, and vertices, are considered fuzzy sets within the domain of its definition. This allows for the use of fuzzy logic in examining the morphology of time series, ultimately leading to the detection of anomalies.

Keywords