<?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-1564</article-id>
      <title-group>
        <article-title>N-ary relation fuzzy-soft set</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Alhussain</surname>
            <given-names>Zahraa F. Abd</given-names>
          </name>
          <aff>Department of Mathematics, Faculty of Education for Women, Kufa University, Kufa, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Hassan</surname>
            <given-names>Asmhan F.</given-names>
          </name>
          <aff>Department of Mathematics, Faculty of Education for Women, Kufa University, Kufa, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>26</volume>
      <issue>7</issue>
      <fpage>1449</fpage>
      <lpage>1454</lpage>
      <pub-date date-type="pub">
        <day>01</day>
        <month>11</month>
        <year>2023</year>
      </pub-date>
      <abstract>
        <p>We introduce in this paper a novel idea (new model) of fuzzy-soft-sets via linking the Binary, Ternary and N-ary relation soft-sets definitions together with the fuzzy-sets definitions for power sets and then arises the novel kinds which are named as (Binary relation, Ternary relation, N-ary relation fuzzy-soft sets), we will denote for them as (B-R-F-S), (T-R-F-S) and (N-R-F-S) resp. , which are more useful and functional to create theoretical and practical works also to make some new studies (new ideas) cutting-edge the fuzzy-soft-set theory. We focus on the main processess on N-ary relation fuzzy-soft-sets and their some basic properties. The new kinds of fuzzy-soft-sets are very advantageous and contributed in some important applications.</p>
      </abstract>
      <kwd-group>
        <kwd>Soft-set</kwd>
        <kwd>Fuzzy-set</kwd>
        <kwd>Fuzzy-soft set</kwd>
        <kwd>N-ary relation soft-set</kwd>
        <kwd>N-ary relation fuzzy-soft set</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>
