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<article article-type="research-article" dtd-version="1.3" 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" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">mathematics</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник российских университетов. Математика</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Universities Reports. Mathematics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2686-9667</issn><issn pub-type="epub">2782-3342</issn><publisher><publisher-name>Тамбовский государственный университет имени Г.Р. Державина</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.20310/1810-0198-2016-21-2-459-464</article-id><article-id custom-type="elpub" pub-id-type="custom">mathematics-343</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>МАТЕМАТИКА</subject></subj-group></article-categories><title-group><article-title>КЛАСТЕРИЗАЦИЯ ОКРЕСТНОСТНОЙ СТРУКТУРЫ</article-title><trans-title-group xml:lang="en"><trans-title>CLUSTERING OF NEIGHBORHOOD STRUCTURE</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шмырин</surname><given-names>Анатолий Михайлович</given-names></name><name name-style="western" xml:lang="en"><surname>Shmyrin</surname><given-names>Anatoliy Mikhailovich</given-names></name></name-alternatives><email xlink:type="simple">amsh@lipetsk.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мишачёв</surname><given-names>Николай Михайлович</given-names></name><name name-style="western" xml:lang="en"><surname>Mishachev</surname><given-names>Nikolay Mikhailovich</given-names></name></name-alternatives><email xlink:type="simple">nmish@lipetsk.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Косарева</surname><given-names>Анастасия Сергеевна</given-names></name><name name-style="western" xml:lang="en"><surname>Kosareva</surname><given-names>Anastasia Sergeevna</given-names></name></name-alternatives><email xlink:type="simple">kosarewanastya@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Липецкий государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Lipetsk State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>15</day><month>12</month><year>2016</year></pub-date><volume>21</volume><issue>2</issue><fpage>459</fpage><lpage>464</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Шмырин А.М., Мишачёв Н.М., Косарева А.С., 2016</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="ru">Шмырин А.М., Мишачёв Н.М., Косарева А.С.</copyright-holder><copyright-holder xml:lang="en">Shmyrin A.M., Mishachev N.M., Kosareva A.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://mathematics.elpub.ru/jour/article/view/343">https://mathematics.elpub.ru/jour/article/view/343</self-uri><abstract><p>В статье определяется метрика на множестве узлов окрестностной структуры и рассматривается задача кластеризации окрестностной структуры по этой метрике или, что то же самое, задача построения окрестностной фактор-структуры. Определяемая метрика учитывает как связи между узлами структуры, так и имеющиеся экспериментальные данные - кортежи состояний и управлений.</p></abstract><trans-abstract xml:lang="en"><p>We define a metric on the set of nodes of neighborhood structure and consider the clustering problem for the structure with respect to the metric, or, what is the same, the problem of constructing the factor-structure. Determined metric takes into account both the connections between the nodes of the structure and the experimental data at the nodes.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>окрестностная структура</kwd><kwd>метрика</kwd><kwd>кластеризация</kwd><kwd>фактор-структура</kwd><kwd>neighborhood structures</kwd><kwd>metrics</kwd><kwd>clustering</kwd><kwd>factor-structure</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Блюмин С.Л., Шмырин A.M. Окрестностные системы. Липецк: ЛЭГИ, 2005.</mixed-citation><mixed-citation xml:lang="en">Блюмин С.Л., Шмырин A.M. Окрестностные системы. Липецк: ЛЭГИ, 2005.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Shmyrin, A.M., Kosareva, A.S. The measure of similarity in solving the problem of clustering neighborhood structures // Modern informatization problems in the technological and telecommunication systems analysis and synthesis: Proceedings of the XXI-th International Open Science Conference (Yelm, WA, USA, Januar 2016), 2016. P. 341-346.</mixed-citation><mixed-citation xml:lang="en">Shmyrin, A.M., Kosareva, A.S. The measure of similarity in solving the problem of clustering neighborhood structures // Modern informatization problems in the technological and telecommunication systems analysis and synthesis: Proceedings of the XXI-th International Open Science Conference (Yelm, WA, USA, Januar 2016), 2016. P. 341-346.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
