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  <front>
    <journal-meta>
      <journal-id journal-id-type="nlm-ta">REA Press</journal-id>
      <journal-id journal-id-type="publisher-id">Null</journal-id>
      <journal-title>REA Press</journal-title><issn pub-type="ppub">3009-3732 </issn><issn pub-type="epub">3009-3732 </issn><publisher>
      	<publisher-name>REA Press</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">https://doi.org/10.31181/sa21202423</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group><subject>Vague soft set‎, Entropy measure‎, Similarity measure‎, Interval vague soft sets‎.</subject></subj-group>
      </article-categories>
      <title-group>
        <article-title>Discussion on Entropy and Similarity Measures and Their Few Applications Because of Vague Soft Sets</article-title><subtitle>Discussion on Entropy and Similarity Measures and Their Few Applications Because of Vague Soft Sets</subtitle></title-group>
      <contrib-group><contrib contrib-type="author">
	<name name-style="western">
	<surname>Mehmood</surname>
		<given-names>Arif </given-names>
	</name>
	<aff>Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, Pakistan‎.</aff>
	</contrib><contrib contrib-type="author">
	<name name-style="western">
	<surname>Ahmad</surname>
		<given-names>Abeeda </given-names>
	</name>
	<aff>Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, Pakistan‎.</aff>
	</contrib><contrib contrib-type="author">
	<name name-style="western">
	<surname>Nawaz</surname>
		<given-names>Mubashir </given-names>
	</name>
	<aff>Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, Pakistan‎.</aff>
	</contrib><contrib contrib-type="author">
	<name name-style="western">
	<surname>Saeed</surname>
		<given-names>Maha Mohammed</given-names>
	</name>
	<aff>Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, 15 Saudi ‎Arabia‎.</aff>
	</contrib><contrib contrib-type="author">
	<name name-style="western">
	<surname>Nordo</surname>
		<given-names>Giorgio </given-names>
	</name>
	<aff>MIFT-Dipartimento di Scienze Matematiche e Informatiche, scienze Fisiche e scienze della Terra, Messina University, ‎Messina, Italy‎.</aff>
	</contrib></contrib-group>		
      <pub-date pub-type="ppub">
        <month>08</month>
        <year>2024</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>29</day>
        <month>08</month>
        <year>2024</year>
      </pub-date>
      <volume>2</volume>
      <issue>1</issue>
      <permissions>
        <copyright-statement>© 2024 REA Press</copyright-statement>
        <copyright-year>2024</copyright-year>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/2.5/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</p></license>
      </permissions>
      <related-article related-article-type="companion" vol="2" page="e235" id="RA1" ext-link-type="pmc">
			<article-title>Discussion on Entropy and Similarity Measures and Their Few Applications Because of Vague Soft Sets</article-title>
      </related-article>
	  <abstract abstract-type="toc">
		<p>
			This study focuses on two crucial techniques that are used for measurements. These techniques are introduced in vague soft sets concerning crisp points of the space. Relevant examples support these strategies.
		</p>
		</abstract>
    </article-meta>
  </front>
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