<?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-2194</article-id>
      <title-group>
        <article-title>FS-convergent in norm (Fsc1n–Convergent) in a fuzzy normed Riesz spaces</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Kadhim</surname>
            <given-names>Shatha Abdul-Hussein</given-names>
          </name>
          <aff>Department of Mathematics, Collage of Education for Pure Sciences, University of Kerbala, Kerbala, 56001, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Kadhim</surname>
            <given-names>Shaimaa Abdul-Hussein</given-names>
          </name>
          <aff>Department of Mathematics, Collage of Education for Pure Sciences, University of Kerbala, Kerbala, 56001, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Abed</surname>
            <given-names>Mohammed Yahya</given-names>
          </name>
          <aff>Department of Mathematics, Collage of Education for Pure Sciences, University of Kerbala, Kerbala, 56001, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>28</volume>
      <issue>7</issue>
      <fpage>2613</fpage>
      <lpage>2621</lpage>
      <pub-date date-type="pub">
        <day>17</day>
        <month>10</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>In this paper, we introduce the concept of fuzzy statistical convergent in norm (Fsc1n-Convergent) and (Fsc1n-Cauchy) for sequence in fuzzy normed Riesz spaces (FNRS) and study some outcomes related to these notions and we have established a number of its properties. also we see that a sequence be a FS-convergent in norm if and only if there exist a subsequence convergent to x0. So we proved that a fuzzy s-complete Riesz space 𝔖 with the Fsc1n-Norm is order continuous it’s equivalent to every increasing with bounded above is Fsc1n-convergent. And note every Fsc1n-Cauchy sequence is  Convergent to an element T0 ∈ 𝔖. Thus, we verified that 𝔖 is a (BFRS). </p>
      </abstract>
      <kwd-group>
        <kwd>Banach fuzzy riesz space (BFRS)</kwd>
        <kwd>Fuzzy statistical convergent in norm (Fsc1n-Convergent)</kwd>
        <kwd>Fsc1n-Cauchy</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>
