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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">RUDN Journal of Engineering Research</journal-id><journal-title-group><journal-title xml:lang="en">RUDN Journal of Engineering Research</journal-title><trans-title-group xml:lang="ru"><trans-title>Вестник Российского университета дружбы народов. Серия: Инженерные исследования</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2312-8143</issn><issn publication-format="electronic">2312-8151</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">45010</article-id><article-id pub-id-type="doi">10.22363/2312-8143-2025-26-2-144-154</article-id><article-id pub-id-type="edn">LRKTFT</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">General Mathematical Principles for Determining the Engineering Concept of Apartment Buildings Based on Expert Analytical Methods and Decision Support Systems</article-title><trans-title-group xml:lang="ru"><trans-title>Общие математические принципы определения инженерной концепции многоквартирных домов на основе экспертно-аналитических методов и систем поддержки принятия решений</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0006-0211-808X</contrib-id><name-alternatives><name xml:lang="en"><surname>Merkulov</surname><given-names>Alexander A.</given-names></name><name xml:lang="ru"><surname>Меркулов</surname><given-names>Александр Александрович</given-names></name></name-alternatives><bio xml:lang="en"><p>Postgraduate student of the Department of Mechanics and Control Processes, Academy of Engineering</p></bio><bio xml:lang="ru"><p>аспирант кафедры механики и процессов управления, инженерная академия</p></bio><email>amerkulov@levelgroup.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3176-5279</contrib-id><contrib-id contrib-id-type="spin">5644-6735</contrib-id><name-alternatives><name xml:lang="en"><surname>Stepanyan</surname><given-names>Ivan V.</given-names></name><name xml:lang="ru"><surname>Степанян</surname><given-names>Иван Викторович</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Biological Sciences, Candidate of Technical Sciences, Leading Researcher</p></bio><bio xml:lang="ru"><p>доктор биологических наук, кандидат технических наук, ведущий научный сотрудник</p></bio><email>neurocomp.pro@gmail.com</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">RUDN University</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Institute of Machines Science named after A.A. Blagonravov of the Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Институт машиноведения им. А.А. Благонравова РАН</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-07-03" publication-format="electronic"><day>03</day><month>07</month><year>2025</year></pub-date><volume>26</volume><issue>2</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>144</fpage><lpage>154</lpage><history><date date-type="received" iso-8601-date="2025-07-14"><day>14</day><month>07</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Merkulov A.A., Stepanyan I.V.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Меркулов А.А., Степанян И.В.</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Merkulov A.A., Stepanyan I.V.</copyright-holder><copyright-holder xml:lang="ru">Меркулов А.А., Степанян И.В.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/engineering-researches/article/view/45010">https://journals.rudn.ru/engineering-researches/article/view/45010</self-uri><abstract xml:lang="en"><p>A well-designed engineering blueprint for a residential apartment building can effectively mitigate potential hazards during the preparatory phase of construction. This approach enables the consideration of factors that, due to the constraints inherent in specialized expertise, frequently go unaddressed in practice. The theory of expert systems and mathematical apparatus based on fuzzy logic are put forward as the methodological basis and fundamental research methods. The objective of the present study is to formulate mathematical principles that facilitate the determination of the engineering concept of apartment buildings at the preparatory stage of construction, based on the theory of fuzzy sets and decision support methods. The research objective is to develop general mathematical principles for solving applied problems using specialized expert systems. The research yielded the development of the mathematical foundations of a multifunctional expert system for the conceptualization of apartment buildings during the preparatory phase of construction; a fuzzy knowledge base was created. The projection of a multidimensional response surface function has been restored, reflecting the dependence of linguistic variables. Mathematical principles for determining the engineering concept of multi-family residential buildings at the preparatory stage of construction have been developed.</p></abstract><trans-abstract xml:lang="ru"><p>Правильно спроектированная инженерная концепция жилого многоквартирного дома позволяет на этапе подготовки к строительству снизить имеющиеся риски и учесть факторы, которые на практике, ввиду ограниченного характера специализированных экспертных знаний, иногда остаются без должного внимания. В качестве методологической базы и основополагающих методов исследования выдвинуты теория экспертных систем и математический аппарат на основе нечеткой логики. Цель исследования - разработка математических принципов определения инженерной концепции многоквартирных домов на этапе подготовки к строительству на основе теории нечетких множеств и методов поддержки принятия решений. Задача исследования - разработка общих математических принципов решения прикладных задач с применением специализированных экспертных систем. В результате исследования разработаны математические основы многофункциональной экспертной системы для формирования концепции многоквартирных домов на этапе подготовки к строительству; создана нечеткая база знаний; восстановлена проекция многомерной функции поверхности отклика, отображающая зависимость лингвистических переменных; разработаны математические принципы определения инженерной концепции многоквартирных жилых домов на этапе подготовки к строительству.</p></trans-abstract><kwd-group xml:lang="en"><kwd>logical operations</kwd><kwd>fuzzy sets</kwd><kwd>Mamdani algorithm</kwd><kwd>Sugeno algorithm</kwd><kwd>intelligence systems</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>логические операции</kwd><kwd>нечеткие множества</kwd><kwd>алгоритм Мамдани</kwd><kwd>алгоритм Сугено</kwd><kwd>интеллектуальные системы</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Caiado RGG, Scavarda LF, Gavião LO, Ivson P, Nascimento DL De M, Garza-Reyes JA. 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