<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-2330</article-id>
      <title-group>
        <article-title>A new approach to soft relations and topology</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Hamouda</surname>
            <given-names>Essam</given-names>
          </name>
          <aff>Department of Basic Sciences, Faculty of Technology and Education, University of Beni-Suef, Beni-Suef, 62511, Egypt</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>2</issue>
      <fpage>447</fpage>
      <lpage>458</lpage>
      <pub-date date-type="pub">
        <day>19</day>
        <month>12</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>Let R = (q, A) be a soft relation over a set X, where q : A → P(X × X). In this paper, we first associate a mapping aq : X × X → P(A) with every soft relation R over X. This mapping is then utilized to redefine the concept of soft equivalence relation as developed in [8]. Next, we introduce soft topologies generated by R and explore several related results within this framework. Specifically, we have characterised soft topologies that are produced by a soft relation and a soft selection. Finally, we applied these concepts to fuzzy frameworks. This revised approach to soft structures brings working with soft set theory into closer alignment with fuzzy set theory.</p>
      </abstract>
      <kwd-group>
        <kwd>Soft sets</kwd>
        <kwd>Soft relations</kwd>
        <kwd>Soft topology</kwd>
        <kwd>Fuzzy topology</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
