chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2025-26-3-6-43cheb-2003Research ArticleСтатьиArticleРаспознавание аномалий на записях с помощью нечеткой логикиAnomaly recognition in recordings using fuzzy logicАгаянСергей МартиковичAgayanSergey Martikovich

доктор физико-математических наук

doctor of physical and mathematical sciences

s.agayan@gcras.ruБогоутдиновШамиль РафековичBogoutdinovShamil Rafekovich

кандидат физико-математических наук

candidate of physical and mathematical sciences

shm@gcras.ruКамаевДмитрий АльфредовичKamaevDmitry Alfredovich

доктор технических наук

doctor of technical sciences

post@typhoon.obninsk.ruДзебоевБорис АркадьевичDzeboevBoris Arkadevich

доктор физико-математических наук

doctor of physical and mathematical sciences

b.dzeboev@gcras.ruДобровольскийМихаил НиколаевичDobrovolskyMichael Nikolaevich

кандидат физико-математических наук

candidate of physical and mathematical sciences

Геофизический центр РАНРоссияThe Geophysical Center of the Russian Academy of SciencesRussian FederationГеофизический центр РАН; Институт физики Земли им. Щ.Ю. Шмидта РАНРоссияThe Geophysical Center of the Russian Academy of Sciences, Schmidt Institute of Physics of the Earth of the Russian Academy of SciencesRussian FederationФГБУ «Научно-производственное объединение Тайфун»РоссияResearch and Production Association “Typhoon”Russian Federation202501112025263643Copyright © Агаян С.М., Богоутдинов Ш.Р., Камаев Д.А., Дзебоев Б.А., Добровольский М.Н., 20252025Агаян С.М., Богоутдинов Ш.Р., Камаев Д.А., Дзебоев Б.А., Добровольский М.Н.Agayan S.M., Bogoutdinov S.R., Kamaev D.A., Dzeboev B.A., Dobrovolsky M.N.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/2003

Одним из направлений анализа временных рядов является исследование их морфологии. Результаты такого исследования используются для обнаружения различного родааномалий в поведении ряда, моментов перестройки его поведения и т.д.В работе представлена программа изучения записей методами ДМА – нового подхода к данным, ориентированного на исследователя и активно использующего нечеткую математику. Исходными данными для него является запись, выражающая процесс с дискретным временем и некоторое свойство процесса, выполнение которого интересно исследователю.Проявление свойства на записи формализуется в виде нечеткой структуры (меры проявления) на области определения записи, которая выражает степень проявления рассматриваемого свойства. Мера проявления свойства является основой разбиения записи нарегулярное, переходное и аномальное проявление рассматриваемого свойства на записи.Это разбиение дает исследователю одновременно простое и содержательное представление об интересующем его проявлении свойства на записи.Целью настоящей работы является совершенствование в рамках ДМА существующего на сегодняшний день такого разложения.

One of the areas of time series analysis is the study of their morphology. The results of such a study are used to detect various types of anomalies in the behavior of the series, moments ofrestructuring its behavior, etc.This paper presents a program for exploring records using DMA methods – a new researcheroriented data approach that makes extensive use of fuzzy mathematics. Its input data is a recordexpressing a process with discrete time and some property of the process whose fulfillment is of interest to the researcher.The manifestation of a property on a record is formalized as a fuzzy structure (measure of manifestation) on the do-main of the record definition, which expresses the degree of manifestation of the property in question. The measure of manifestation of a property is thebasis for dividing the record into regular, transient, and abnormal manifestations of the property in question on a record. This division gives the researcher a simple and meaningful idea of the property manifestation on a record that interests him.The purpose of this paper is to improve on the current DMA decomposition of such a decomposition.

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