<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-discrete-mathematical-sciences-and-cryptography</journal-id>
      <journal-title-group>
        <journal-title>Journal of Discrete Mathematical Sciences and Cryptography</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0065</issn>
      <issn publication-format="print">0972-0529</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1080/09720529.2021.1978699</article-id>
      <title-group>
        <article-title>Normalization, commutativity and centralization of TFSM(G)</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Rasuli</surname>
            <given-names>Rasul</given-names>
          </name>
          <aff>Department of Mathematics, Payame Noor University (PNU), Tehran, Iran</aff>
        </contrib>
      </contrib-group>
      <volume>26</volume>
      <issue>4</issue>
      <fpage>1027</fpage>
      <lpage>1050</lpage>
      <pub-date date-type="pub">
        <day>08</day>
        <month>03</month>
        <year>2022</year>
      </pub-date>
      <abstract>
        <p>This paper aims to introduce the normalization, commutativity and centralization of TFSM(G) and investigate some of their basic properties. Also we investigate image and pre image of them under group homomorphisms.</p>
      </abstract>
      <kwd-group>
        <kwd>Group theory</kwd>
        <kwd>Fuzzy groups</kwd>
        <kwd>Fuzzy multisets</kwd>
        <kwd>t-norm</kwd>
        <kwd>Normalizer</kwd>
        <kwd>Commutative algebra</kwd>
        <kwd>Commutators</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>
