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  <doi_batch_id>aspg-21-513-1791472197</doi_batch_id>
  <timestamp>20261008150957</timestamp>
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  <journal>
   <journal_metadata language="en">
    <full_title>International Journal of Neutrosophic Science</full_title>
    <abbrev_title>IJNS</abbrev_title>
    <issn media_type="print">2692-6148</issn>
    <issn media_type="electronic">2690-6805</issn>
   </journal_metadata>
   <journal_issue>
    <publication_date media_type="online">
     <year>2020</year>
    </publication_date>
    <journal_volume>
     <volume>8</volume>
    </journal_volume>
    <issue>1</issue>
   </journal_issue>
   <journal_article publication_type="full_text">
    <titles>
     <title>On Refined Neutrosophic Hypervector Spaces</title>
    </titles>
    <contributors>
     <person_name sequence="first" contributor_role="author">
      <given_name>M.A.</given_name>
      <surname>Ibrahim</surname>
      <affiliations>
       <institution>
        <institution_name>Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria</institution_name>
       </institution>
      </affiliations>
     </person_name>
     <person_name sequence="additional" contributor_role="author">
      <given_name>A.A.A.</given_name>
      <surname>Agboola</surname>
      <affiliations>
       <institution>
        <institution_name>Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria</institution_name>
       </institution>
      </affiliations>
     </person_name>
     <person_name sequence="additional" contributor_role="author">
      <given_name>B.S.</given_name>
      <surname>Badmus</surname>
      <affiliations>
       <institution>
        <institution_name>Department of Physics, Federal University of Agriculture, Abeokuta, Nigeria</institution_name>
       </institution>
      </affiliations>
     </person_name>
     <person_name sequence="additional" contributor_role="author">
      <given_name>S.A.</given_name>
      <surname>Akinleye</surname>
      <affiliations>
       <institution>
        <institution_name>Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria</institution_name>
       </institution>
      </affiliations>
     </person_name>
    </contributors>
    <jats:abstract>
     <jats:p>This paper presents the refinement of neutrosophic hypervector spaces and studies some of its basic properties. Some basic definitions and important results are presented. The paper also establishes the existence of a good linear transformation between a weak refined neutrosophic hypervector space V (I1; I2) and a weak neutrosophic hypervector space V (I).</jats:p>
    </jats:abstract>
    <publication_date media_type="online">
     <year>2020</year>
    </publication_date>
    <pages>
     <first_page>50</first_page>
     <last_page>71</last_page>
    </pages>
    <publisher_item>
     <item_number item_number_type="article-number">513</item_number>
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     <doi>10.54216/IJNS.080105</doi>
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