Discrete Mathematical Analysis (DMA) is a new approach to data analysis that is being developed at the Geophysical Center of the Russian Academy of Sciences. Multiple papers, which have been published earlier, are mainly devoted to applied research and solving specific problems in various areas of the Earth's sciences, such as detection of geophysical anomalies, monitoring of geophysical processes, seismic zoning, etc. The goal, which the authors pursue in this paper, is, to a certain degree, opposite -- to give a formal mathematical description of principles that form the basis of DMA.
Fuzzy mathematics, Discrete mathematical analysis, discontinuous, anomality, clusters, trends, geophysical monitoring
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