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  <doi_batch_id>aspg-24-1120-1791482672</doi_batch_id>
  <timestamp>20261008180432</timestamp>
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  <journal>
   <journal_metadata language="en">
    <full_title>Journal of Neutrosophic and Fuzzy Systems</full_title>
    <abbrev_title>JNFS</abbrev_title>
    <issn media_type="print">2771-6430</issn>
    <issn media_type="electronic">2771-6449</issn>
   </journal_metadata>
   <journal_issue>
    <publication_date media_type="online">
     <year>2022</year>
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    <journal_volume>
     <volume>3</volume>
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    <issue>1</issue>
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    <titles>
     <title>Neutrosophic Crisp minimal Structure</title>
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    <contributors>
     <person_name sequence="first" contributor_role="author">
      <given_name>Riad K.</given_name>
      <surname>Al-Hamido</surname>
      <affiliations>
       <institution>
        <institution_name>Department of Mathematics, College of Science, AlFurat University, Deir-ez-Zor, Syria</institution_name>
       </institution>
      </affiliations>
     </person_name>
    </contributors>
    <jats:abstract>
     <jats:p>In this paper, the neutrosophic crisp minimal structure which is a more general structure than the neutrosophic minimal structure is built on neutrosophic crisp sets. The necessary arguments which are neutrosophic minimal crisp open set, neutrosophic minimal crisp closed set, neutrosophic crisp minimal closure, and neutrosophic crisp minimal interior are defined and their basic properties are presented. Also, the neutrosophic crisp minimal structure subspace of neutrosophic crisp minimal structure is defined and studied some of its properties. Finally, many examples are presented.</jats:p>
    </jats:abstract>
    <publication_date media_type="online">
     <year>2022</year>
    </publication_date>
    <pages>
     <first_page>27</first_page>
     <last_page>33</last_page>
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    <publisher_item>
     <item_number item_number_type="article-number">1120</item_number>
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     <doi>10.54216/JNFS.030103</doi>
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