Fuzzy Logic Methods in the Analysis of Tsunami Wave Dynamics Based on Sea Level Data

Agayan, S. M.; Богоутдинов, Ш. Р.; Krasnoperov, Roman; Efremova, O. V.; Камаев, Дмитрий Альфредович

doi:10.1007/s00024-022-03104-x

Cited by 2 publications

(3 citation statements)

References 3 publications

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“…The problem of trends (see Section 1.1) in this work is solved within the framework of discrete mathematical analysis (DMA)-a new approach to data analysis, researcheroriented and occupying an intermediate position between hard mathematical methods and soft intellectual ones [25][26][27][28][29].…”

Section: Solution Of the Problem Of Trends And On The Basis Of Discre...mentioning

confidence: 99%

Trends and Extremes in Time Series Based on Fuzzy Logic

Agayan,

Bogoutdinov,

Kamaev

et al. 2024

Mathematics

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The authors develop the theory of discrete differentiation and, on its basis, solve the problem of detecting trends in records, using the idea of the connection between trends and derivatives in classical analysis but implementing it using fuzzy logic methods. The solution to this problem is carried out by constructing fuzzy measures of the trend and extremum for a recording. The theoretical justification of the regression approach to classical differentiation in the continuous case given in this work provides an answer to the question of what discrete differentiation is, which is used in constructing fuzzy measures of the trend and extremum. The detection of trends using trend and extremum measures is more stable and of higher quality than using traditional data analysis methods, which consist in studying the intervals of constant sign of the derivative for a piecewise smooth approximation of the original record. The approach proposed by the authors, due to its implementation within the framework of fuzzy logic, is largely focused on the researcher analyzing the record and at the same time uses the idea of multiscale. The latter circumstance provides a more complete and in-depth understanding of the process behind the recording.

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Section: Solution Of the Problem Of Trends And On The Basis Of Discre...mentioning

confidence: 99%

Trends and Extremes in Time Series Based on Fuzzy Logic

Agayan,

Bogoutdinov,

Kamaev

et al. 2024

Mathematics

Self Cite

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show abstract

“…Agayan et al ( 2022 ) in “Fuzzy logic methods in the analysis of tsunami wave dynamics based on sea level data” present an algorithm for registering the arrival of tsunami waves based on the operational data of sea level measurements. The algorithm makes use of discrete mathematical analysis including a fuzzy logic approach and provides tools for expert assessment at the stage of adjustment and tuning.…”

mentioning

confidence: 99%

“…This new method can provide stable estimates of earthquake magnitude faster than the routine determinations available, providing an alternative choice for magnitude estimation in earthquake early warning systems. Agayan et al (2022) in ''Fuzzy logic methods in the analysis of tsunami wave dynamics based on sea level data'' present an algorithm for registering the arrival of tsunami waves based on the operational data of sea level measurements. The algorithm makes use of discrete mathematical analysis including a fuzzy logic approach and provides tools for expert assessment at the stage of adjustment and tuning.…”

mentioning

confidence: 99%

Geophysical Studies of Geodynamics and Natural Hazards in the Northwestern Pacific Region: Introduction

Soloviev

Eichelberger

2022

Pure Appl. Geophys.

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Fuzzy Logic Methods in the Analysis of Tsunami Wave Dynamics Based on Sea Level Data

Cited by 2 publications

References 3 publications

Trends and Extremes in Time Series Based on Fuzzy Logic

Trends and Extremes in Time Series Based on Fuzzy Logic

Geophysical Studies of Geodynamics and Natural Hazards in the Northwestern Pacific Region: Introduction

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