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February 22, 2026Физика Земли / Izvestiya Physics of the Solid Earth0 citations

Fuzzy Mathematics Methods for Comprehensive Analysis of Geophysical Data

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SAS.M. Agayan

Key Points

  • The aim is to explore how fuzzy mathematics and logic can enhance the analysis of geophysical data through discrete mathematical methods.
  • Utilized discrete mathematical analysis to study discrete functions.
  • Applied fuzzy logic for clustering in multidimensional arrays.
  • Developed a new approach for integrating geophysical data using fuzzy approaches.
  • Showed that fuzzy mathematics allows for better handling of subjective opinions in data analysis.
  • Demonstrated successful clustering of complex data arrays using fuzzy logic techniques.
  • Proposed a novel framework for geophysical integration based on the findings.

Abstract

Discrete Mathematical Analysis (DMA) is a method of analyzing discrete data that actively uses fuzzy mathematics (FM) and fuzzy logic (FL), which allows it to take into account the opinion and experience of the researcher to a much greater extent than classical methods. The latest results of DMA in studying discrete functions using FL, clustering in complex multidimensional arrays, as well as a constructive description of the variety of solutions to systems of linear algebraic equations (SLAE) allow us to propose a new version of geophysical integration, in which FM and FL, and therefore the researcher, play a major role. The work is devoted to the presentation of the concept of geophysical integration. It is based on the theoretical apparatus of DMA, FM and FL and practical, geophysical results of using DMA as demonstrative examples.

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Cite This Study

S.M. Agayan (2025) studied this question.

synapsesocial.com/papers/699a9d65482488d673cd3468https://doi.org/10.7868/s3034645225050013
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