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<article article-type="research-article" dtd-version="1.3" xml:lang="en">
  <front xmlns:xlink="http://www.w3.org/1999/xlink">
    <journal-meta>
      <journal-title-group>
        <journal-title>St. Petersburg Polytechnic University Journal: Physics and Mathematics</journal-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Научно-технические ведомости СПбГПУ. Физико-математические науки</trans-title>
        </trans-title-group>
      </journal-title-group>
      <issn pub-type="epub">2304-9782, 2618-8686, 2405-7223</issn>
    </journal-meta>
    <article-meta xmlns:xlink="http://www.w3.org/1999/xlink">
      <article-id pub-id-type="publisher-id">12</article-id>
      <article-id pub-id-type="doi">10.18721/JPM.14112</article-id>
      <title-group>
        <article-title>Making a collective expert decision based on the Neumann – Pearson algorithm</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Принятие коллективного экспертного решения на основе алгоритма Неймана – Пирсона</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0000-0002-4088-4707</contrib-id>
          <contrib-id contrib-id-type="scopus">57034855700</contrib-id>
          <name>
            <surname>Antonov</surname>
            <given-names>Valerii</given-names>
          </name>
          <xref ref-type="aff" rid="aff1"/>
          <email>hmath@spbstu.ru</email>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Garbaruk</surname>
            <given-names>Victor</given-names>
          </name>
          <xref ref-type="aff" rid="aff2"/>
          <email>vigarb@mail.ru</email>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Fomenko</surname>
            <given-names>Victor</given-names>
          </name>
          <xref ref-type="aff" rid="aff3"/>
          <email>vfomenko1943@gmail.com</email>
        </contrib>
      </contrib-group>
      <aff id="aff1">Peter the Great St. Petersburg Polytechnic University</aff>
      <aff id="aff2">Emperor Alexander I St. Petersburg State Transport University</aff>
      <aff id="aff3">Petersburg State Transport University</aff>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2021-03-26">
        <day>26</day>
        <month>03</month>
        <year>2021</year>
      </pub-date>
      <volume>14</volume>
      <issue>1</issue>
      <fpage>155</fpage>
      <lpage>163</lpage>
      <self-uri xmlns:xlink="http://www.w3.org/1999/xlink" content-type="pdf" xlink:href="https://physmath.spbstu.ru/userfiles/files/articles/2021/1/12_146-154_14-(1)-2021_eng.pdf"/>
      <abstract xml:lang="en">
        <p>In the article, the possibility of processing voting results in the case of a team of experts with different efficiency in assessing the situation has been considered. The experts were expected to decide whether or not a patient suffering from a specific disease. The most intelligent combination of the individual expert’s votes into a collective council’s decision was required. Our algorithm was based on the Neumann – Pearson principle of minimizing the type 2 error probability at the fixed type 1 error probability. The team of experts with different qualifications was shown to be able to draw a correct conclusion with a high probability.</p>
      </abstract>
      <kwd-group xml:lang="en">
        <kwd>team of experts</kwd>
        <kwd>assessment efficiency</kwd>
        <kwd>Neumann and Pearson method</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
