<?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-1590</article-id>
      <title-group>
        <article-title>Fuzzy homotopy theory with some result</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Khalaf</surname>
            <given-names>Bushra Zidan</given-names>
          </name>
          <aff>Department of Mathematics, College of Education of Pure Science, University of Wasit, Wasit, Iraq</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Al-Baydli</surname>
            <given-names>Daher Waly</given-names>
          </name>
          <aff>Department of Physics, College of Science, University of Wasit, Wasit, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>26</volume>
      <issue>7</issue>
      <fpage>1613</fpage>
      <lpage>1619</lpage>
      <pub-date date-type="pub">
        <day>01</day>
        <month>11</month>
        <year>2023</year>
      </pub-date>
      <abstract>
        <p>This paper aims to introduce the concept of the fuzzy homotopy and give some results. It is shown that the fuzzy homotopy is an equivalence relation between two fuzzy functions. In addition, we proved the fuzzy fundamental group,  some theorems and properties.</p>
      </abstract>
      <kwd-group>
        <kwd>Fuzzy topology</kwd>
        <kwd>Fuzzy sets</kwd>
        <kwd>Fuzzy equivalence relation</kwd>
        <kwd>Fuzzy homotopy and fuzzy  fundamental group</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>
