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  <front>
    <journal-meta>
      <journal-title>Journal of Artificial Intelligence</journal-title>
      <issn pub-type="ppub">1994-5450</issn>
      <issn pub-type="epub">2077-2173</issn>
      <publisher>
        <publisher-name>Asian Network for Scientific Information</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3923/jai.2011.110.118</article-id>
      <title-group>
        <article-title><![CDATA[Enrollment Forecasting based on Modified Weight Fuzzy Time Series]]></article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" xlink:type="simple">
          <name name-style="western">
            <surname>Ismail</surname>
            <given-names>Z. </given-names>
          </name>
          <name name-style="western">
            <surname>Efendi</surname>
            <given-names>R. </given-names>
          </name>
        </contrib>
      </contrib-group>
      <pub-date pub-type="collection">
        <month>1</month>
        <year>2011</year>
      </pub-date>
      <volume>4</volume>
      <issue>1</issue>
      <abstract><![CDATA[<p>Many different methods and models have been proposed by researchers using fuzzy time series for many different applications. The main issue in forecasting is in improving forecast accuracy. This paper presents the development of weight fuzzy time series based on a collection of variation of the chronological number in the Fuzzy Logical Group (FLG). The aim here is to develop an appropriate weight on fuzzy time series for forecasting of trend series data. A data set of university enrollment for Alabama University and Universiti Teknologi Malaysia (UTM) are used for forecasting. Results from this study shows that the proposed approach gave a lot of improvement. The forecasting fitness function used are the Means Square Error (MSE) and average error.</p>]]></abstract>
    </article-meta>
  </front>
    <ref-list>
              <ref id="617494">
        <label>1</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Song, Q. and B.S. Chissom,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1993</year>
			<article-title><![CDATA[Fuzzy time series and its models.]]></article-title>
			<source>Fuzzy Sets Syst.,</source>
			<volume>54</volume>
			<fpage>269</fpage>
			<lpage>277</lpage>
		</citation>
      </ref>
                                                                              <ref id="617506">
        <label>2</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Sullivan, J. and W.H. Woodall,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1994</year>
			<article-title><![CDATA[A comparison of fuzzy forecasting and Markov modeling.]]></article-title>
			<source>Fuzzy Sets Syst.,</source>
			<volume>64</volume>
			<fpage>279</fpage>
			<lpage>293</lpage>
		</citation>
      </ref>
                                                                              <ref id="617514">
        <label>3</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Shaw, R.C.,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1984</year>
			<article-title><![CDATA[Enrollment forecasting: What methods work the best.]]></article-title>
			<source>NASSP Bull.,</source>
			<volume>68</volume>
			<fpage>52</fpage>
			<lpage>58</lpage>
		</citation>
      </ref>
                                                                              <ref id="617522">
        <label>4</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Gardner, D.E.,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1981</year>
			<article-title><![CDATA[Weight factor selection in double exponential smoothing enrollment forecasts.]]></article-title>
			<source>Res. Higher Educ.,</source>
			<volume>14</volume>
			<fpage>49</fpage>
			<lpage>56</lpage>
		</citation>
      </ref>
                                                                              <ref id="617533">
        <label>5</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Weiler, W.C.,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1980</year>
			<article-title><![CDATA[A model for short-term institutional enrollment forecasting.]]></article-title>
			<source>J. Higher Educ.,</source>
			<volume>51</volume>
			<fpage>314</fpage>
			<lpage>327</lpage>
		</citation>
      </ref>
                                                                              <ref id="385944">
        <label>6</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Ismail, Z., A. Yahaya and A. Shabri,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2009</year>
			<article-title><![CDATA[Forecasting gold prices using multiple linear regression method.]]></article-title>
			<source>Am. J. Applied Sci.,</source>
			<volume>6</volume>
			<fpage>1509</fpage>
			<lpage>1514</lpage>
		</citation>
      </ref>
                                                                              <ref id="386023">
        <label>7</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Ismail, Z., A. Yahya and K.A. Mahpol,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2009</year>
			<article-title><![CDATA[Forecasting peak load electricity demand using statistics and rule based approach.]]></article-title>
			<source>Am. J. Applied Sci.,</source>
			<volume>6</volume>
			<fpage>1618</fpage>
			<lpage>1625</lpage>
		</citation>
      </ref>
                                                                              <ref id="617562">
        <label>8</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Chatman, S.P.,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1986</year>
			<article-title><![CDATA[Short-term forecasts of the number and scholastic ability of enrolling freshmen by academic divisions.]]></article-title>
			<source>Res. Higher Educ.,</source>
			<volume>25</volume>
			<fpage>68</fpage>
			<lpage>81</lpage>
		</citation>
      </ref>
                                                                              <ref id="617574">
        <label>9</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Pope, J.A. and J.P. Evans,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1985</year>
			<article-title><![CDATA[A forecasting system for college admissions.]]></article-title>
			<source>Coll. Univ.,</source>
			<volume>60</volume>
			<fpage>113</fpage>
			<lpage>131</lpage>
		</citation>
      </ref>
                                                                              <ref id="617581">
        <label>10</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Warrack, B.J. and C.N. Russel,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1983</year>
			<article-title><![CDATA[Forecasting demand for postsecondary education in Manitoba: The motivational index and the demand index as an enrollment forecasting tool.]]></article-title>
			<source>Res. Higher Educ.,</source>
			<volume>19</volume>
			<fpage>335</fpage>
			<lpage>349</lpage>
		</citation>
      </ref>
                                                                              <ref id="617588">
        <label>11</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Hoenack, S.A. and W.C. Weiler,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1979</year>
			<article-title><![CDATA[The demand for higher education and institutional enrollment forecasting.]]></article-title>
			<source>Econ. Inquiry,</source>
			<volume>17</volume>
			<fpage>89</fpage>
			<lpage>113</lpage>
		</citation>
      </ref>
                                                                              <ref id="617597">
        <label>12</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Chen, S.M.,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1996</year>
			<article-title><![CDATA[Forecasting enrollments based on fuzzy time series.]]></article-title>
			<source>Fuzzy Sets Syst.,</source>
			<volume>81</volume>
			<fpage>311</fpage>
			<lpage>319</lpage>
		</citation>
      </ref>
                                                                              <ref id="617602">
        <label>13</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Chen, S.M. and J.R. Hawang,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2000</year>
			<article-title><![CDATA[Temperature prediction using fuzzy time series.]]></article-title>
			<source>IEEE Trans. Syst. Man Cybern B Cybern,</source>
			<volume>30</volume>
			<fpage>263</fpage>
			<lpage>275</lpage>
		</citation>
      </ref>
                                                                              <ref id="617610">
        <label>14</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Huarng, K.,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2001</year>
			<article-title><![CDATA[Heuristic models of fuzzy time series for forecasting.]]></article-title>
			<source>Fuzzy Sets Syst.,</source>
			<volume>123</volume>
			<fpage>369</fpage>
			<lpage>386</lpage>
		</citation>
      </ref>
                                                                              <ref id="617613">
        <label>15</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Chen, S.M. and C.C. Hsu,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2004</year>
			<article-title><![CDATA[A new method to forecast enrollments using fuzzy time series.]]></article-title>
			<source>Int. J. Applied Sci. Eng.,</source>
			<volume>3</volume>
			<fpage>234</fpage>
			<lpage>244</lpage>
		</citation>
      </ref>
                                                                              <ref id="617641">
        <label>16</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Yu, H.K.,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2005</year>
			<article-title><![CDATA[Weighted fuzzy time series models for TAIEX forecasting.]]></article-title>
			<source>Phys. A Statistical Mechanics Appl.,</source>
			<volume>349</volume>
			<fpage>609</fpage>
			<lpage>624</lpage>
		</citation>
      </ref>
                                                                              <ref id="617636">
        <label>17</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Cheng, C.H., T.L. Chen and C.H. Chiang,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2006</year>
			<article-title><![CDATA[Trend-weight fuzzy time series model for TAIEX forecasting.]]></article-title>
			<source>Neural Inf. Process.,</source>
			<volume>4234</volume>
			<fpage>469</fpage>
			<lpage>477</lpage>
		</citation>
      </ref>
                                                                              <ref id="617651">
        <label>18</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Lee, C.H.L., A. Liu and W.S. Chen,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2006</year>
			<article-title><![CDATA[Pattern discovery of fuzzy time series for financial prediction.]]></article-title>
			<source>IEEE Trans. Knowledge Data Eng.,</source>
			<volume>18</volume>
			<fpage>613</fpage>
			<lpage>625</lpage>
		</citation>
      </ref>
                                                                              <ref id="617666">
        <label>19</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Huarng, K.H., T.H. Yu and Y.W. Hsu,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2007</year>
			<article-title><![CDATA[A multivariate heuristic model for fuzzy time series forecasting.]]></article-title>
			<source>IEEE Trans. Syst. Man Cybern. B Cybern.,</source>
			<volume>37</volume>
			<fpage>836</fpage>
			<lpage>846</lpage>
		</citation>
      </ref>
                                                                              <ref id="617684">
        <label>20</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Jilani, T.A. and S.M.A. Burney,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2008</year>
			<article-title><![CDATA[A refined fuzzy time series model for stock market forecasting.]]></article-title>
			<source>Physica A,</source>
			<volume>387</volume>
			<fpage>2857</fpage>
			<lpage>2862</lpage>
		</citation>
      </ref>
                                                                              <ref id="617690">
        <label>21</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Yu, T.H.K. and K.H. Huarng,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2008</year>
			<article-title><![CDATA[A bivariate fuzzy time series model to forecast the TAIEX.]]></article-title>
			<source>Expert Syst. Appl.,</source>
			<volume>34</volume>
			<fpage>2945</fpage>
			<lpage>2952</lpage>
		</citation>
      </ref>
                                                                              <ref id="617698">
        <label>22</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Kuo, I.H., S.J. Horng, T.W. Kao, T.L. Lin, C.L. Lee and Y. Pan,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2009</year>
			<article-title><![CDATA[An improved method for forecasting enrollments based on fuzzy time series and particle swarm optimization.]]></article-title>
			<source>Expert Syst. Appl.,</source>
			<volume>36</volume>
			<fpage>6108</fpage>
			<lpage>6117</lpage>
		</citation>
      </ref>
                                                                              <ref id="617708">
        <label>23</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Chu, H.H., T.L. Chen, C.H. Cheng and C.C. Huang,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>2009</year>
			<article-title><![CDATA[Fuzzy dual-factor time series for stock index forecasting.]]></article-title>
			<source>Expert Syst. Appl. Int. J.,</source>
			<volume>36</volume>
			<fpage>165</fpage>
			<lpage>171</lpage>
		</citation>
      </ref>
                                                                              <ref id="54710">
        <label>24</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Zadeh, L.A.,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1975</year>
			<article-title><![CDATA[The concept of a linguistic variable and its application to approximate reasoning-I.]]></article-title>
			<source>Inform. Sci.,</source>
			<volume>8</volume>
			<fpage>199</fpage>
			<lpage>249</lpage>
		</citation>
      </ref>
                                                                              <ref id="876021">
        <label>25</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Song, Q. and B.S. Chissom,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1994</year>
			<article-title><![CDATA[Forecasting enrollments with fuzzy time series-Part II.]]></article-title>
			<source>Fuzzy Sets Syst.,</source>
			<volume>62</volume>
			<fpage>1</fpage>
			<lpage>8</lpage>
		</citation>
      </ref>
                                                                              <ref id="876020">
        <label>26</label>
        <citation citation-type="journal" xlink:type="simple">
			<person-group person-group-type="author">
				<name name-style="western">
					<surname>Song, Q. and B.S. Chissom,</surname>
					<given-names></given-names>
				</name>
			</person-group>
			<year>1993</year>
			<article-title><![CDATA[Forecasting enrollments with fuzzy time series-Part I.]]></article-title>
			<source>Fuzzy Sets Syst.,</source>
			<volume>54</volume>
			<fpage>1</fpage>
			<lpage>9</lpage>
		</citation>
      </ref>
                                                                    </ref-list>
</article>
