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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">JDS</journal-id>
      <journal-title-group>
        <journal-title>Journal of Data Science</journal-title>
      </journal-title-group>
      <issn pub-type="epub">1680-743X</issn>
      <issn pub-type="ppub">1680-743X</issn>
      <publisher>
        <publisher-name>SOSRUC</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">140307</article-id>
      <article-id pub-id-type="doi">10.6339/JDS.201607_14(3).0007</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>An Evaluation of the Balance and Variation of Dematels by Using Liu's Integrated Validity Index</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Liu</surname>
            <given-names>Hsiang-Chuan</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_000"/>
        </contrib>
        <aff id="j_JDS_aff_000">Graduate School of Business Administration</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Chen</surname>
            <given-names>Wei-Sung</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_001"/>
        </contrib>
        <aff id="j_JDS_aff_001">Department of Computer Science and Information Engineering</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Tsaur</surname>
            <given-names>Wei-Guang</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_002"/>
        </contrib>
        <aff id="j_JDS_aff_002">Department of Economics</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Yeh</surname>
            <given-names>Hung-Ming</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_003"/>
        </contrib>
        <aff id="j_JDS_aff_003">Hung-Ming</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Huh</surname>
            <given-names>Chung-Ling</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_004"/>
        </contrib>
        <aff id="j_JDS_aff_004">Graduate School of Business Administration</aff>
      </contrib-group>
      <volume>14</volume>
      <issue>3</issue>
      <fpage>509</fpage>
      <lpage>518</lpage>
      <permissions>
        <ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/>
      </permissions>
      <abstract>
        <p>Abstract: This paper, evaluates and compares the heterogeneous balance variation order pair of any two decision-making trial and evaluation laboratory (DEMATEL) theories, in which one has a larger balance and a smaller variation. In contrast, the other one has a smaller balance and a larger variation. With this said, the first author proposed a useful integrated validity index to evaluate any DEMATEL theory presence by combining Liu's balanced coefficient and Liu's variation coefficient. Applying this new validity index, three DEMATELs kinds with a same direct relational matrix are compared that are: the traditional, shrinkage, and balance. Furthermore, conducted is a simple validity experiment Results. show that the balance DEMATEL has the best performance. And that, the shrinkage coefficient's performance is better than that of the traditional DEMATEL.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>DEMATEL</kwd>
        <kwd>indirect relational matrix</kwd>
        <kwd>balance coefficient</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
