<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1405-5546</journal-id>
<journal-title><![CDATA[Computación y Sistemas]]></journal-title>
<abbrev-journal-title><![CDATA[Comp. y Sist.]]></abbrev-journal-title>
<issn>1405-5546</issn>
<publisher>
<publisher-name><![CDATA[Instituto Politécnico Nacional, Centro de Investigación en Computación]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1405-55462015000200009</article-id>
<article-id pub-id-type="doi">10.13053/CyS-19-2-2202</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Improving the Multilayer Perceptron Learning by Using a Method to Calculate the Initial Weights with the Similarity Quality Measure Based on Fuzzy Sets and Particle Swarms]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Coello]]></surname>
<given-names><![CDATA[Lenniet]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Fernandez]]></surname>
<given-names><![CDATA[Yumilka]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Filiberto]]></surname>
<given-names><![CDATA[Yaima]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bello]]></surname>
<given-names><![CDATA[Rafael]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad de Camagüey Department of Computer Sciences ]]></institution>
<addr-line><![CDATA[Camagüey ]]></addr-line>
<country>Cuba</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Central de Las Villas Department of Computer Sciences ]]></institution>
<addr-line><![CDATA[Santa Clara Villa Clara]]></addr-line>
<country>Cuba</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2015</year>
</pub-date>
<volume>19</volume>
<numero>2</numero>
<fpage>309</fpage>
<lpage>320</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1405-55462015000200009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1405-55462015000200009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1405-55462015000200009&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The most widely used neural network model is Multilayer Perceptron (MLP), in which training of the connection weights is normally completed by a Back Propagation learning algorithm. Good initial values of weights bear a fast convergence and a better generalization capability even with simple gradient-based error minimization techniques. This work presents a method to calculate the initial weights in order to train the Multilayer Perceptron Model. The method named PSO+RST+FUZZY is based on the similarity quality measure proposed within the framework of the extended Rough Set Theory that employs fuzzy sets to characterize the domain of similarity thresholds. Sensitivity of BP to initial weights with PSO+RST+FUZZY was studied experimentally, showing better performance than other methods used to calculate feature weights.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Multilayer perceptron]]></kwd>
<kwd lng="en"><![CDATA[weight initialization]]></kwd>
<kwd lng="en"><![CDATA[similarity quality measure]]></kwd>
<kwd lng="en"><![CDATA[fuzzy sets]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="justify"><font face="verdana" size="4">Art&iacute;culos</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="4"><b>Improving the Multilayer Perceptron Learning by Using a Method to Calculate the Initial Weights with the Similarity Quality Measure Based on Fuzzy Sets and Particle Swarms</b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="2"><b>Lenniet Coello<sup>1</sup>, Yumilka Fernandez<sup>1</sup>, Yaima Filiberto<sup>1</sup>, Rafael Bello<sup>2</sup></b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><sup><i>1</i></sup> <i>Universidad de Camag&uuml;ey, Department of Computer Sciences,</i> <i>Cuba.</i> <a href="mailto:lenniet.coello@reduc.edu.cu">lenniet.coello@reduc.edu.cu</a>, <a href="mailto:yumilka.fernandez@reduc.edu.cu">yumilka.fernandez@reduc.edu.cu</a>, <a href="mailto:yaima.filiberto@reduc.edu.cu">yaima.filiberto@reduc.edu.cu</a></font></p>  	    <p align="justify"><font face="verdana" size="2"><sup><i>2</i></sup> <i>Universidad Central de Las Villas, Department of Computer Sciences,</i> <i>Cuba.</i> <a href="mailto:rbellop@uclv.edu.cu">rbellop@uclv.edu.cu</a></font></p>  	    <p align="justify"><font face="verdana" size="2"><i>Corresponding author is Lenniet Coello.</i></font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2">Article received on 23/02/2015.    <br> 	Accepted on 05/04/2015.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>  	    <p align="justify"><font face="verdana" size="2">The most widely used neural network model is Multilayer Perceptron (MLP), in which training of the connection weights is normally completed by a Back Propagation learning algorithm. Good initial values of weights bear a fast convergence and a better generalization capability even with simple gradient&#45;based error minimization techniques. This work presents a method to calculate the initial weights in order to train the Multilayer Perceptron Model. The method named PSO+RST+FUZZY is based on the similarity quality measure proposed within the framework of the extended Rough Set Theory that employs fuzzy sets to characterize the domain of similarity thresholds. Sensitivity of BP to initial weights with PSO+RST+FUZZY was studied experimentally, showing better performance than other methods used to calculate feature weights.</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Keywords:</b> Multilayer perceptron, weight initialization, similarity quality measure, fuzzy sets.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><a href="/pdf/cys/v19n2/v19n2a9.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>References</b></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2"><b>1. Filiberto, Y., Bello, R., Caballero, Y., &amp; Larrua, R. (2010).</b> A method to build similarity relations into extended Rough Set Theory. <i>10th International Conference on Intelligent Systems Design and Applications</i> (ISDA2010), Cairo, Egipt. DOI: 10.1109/ISDA.2010.5687091</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073731&pid=S1405-5546201500020000900001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>2. Filiberto, Y., Bello, R., Caballero, Y., &amp; Frias, M. (2013).</b> An analysis about the measure quality of similarity and its applications in machine learning. <i>4th International Workshop on Knowledge Discovery, Knowledge Management and Decision Support</i> (EUREKA 2013), Mexico. DOI: 10.2991/.2013.16.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073732&pid=S1405-5546201500020000900002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2"><b>3. Filiberto, Y., Bello, R., Caballero, Y., &amp; Larrua, R.</b> <b>(2010)&nbsp;.</b> Using PSO and RST to Predict the Resistant Capacity of Connections in Composite Structures. <b>Gonz&aacute;lez, J.R., Pelta, D.A., Cruz, C., Terrazas, G., Krasnogor, N.</b> <i>(eds.) NICSO 2010,</i> SCI, Vol. 284, pp. 359&#45;370, Springer, Heidelberg. DOI: 10.1007/978&#45;3&#45;642&#45;12538&#45;6_30</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073734&pid=S1405-5546201500020000900003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>4. Fernandez, Y., Coello, L., Filiberto, Y., Bello, R., &amp; Falcon, R. (2014).</b> Learning Similarity Measures from Data with Fuzzy Sets and Particle Swarms. <i>Electrical Engineering, Computing Science and Automatic Control (CCE), 11th International Conference,&nbsp;</i>pp. 1&#45;6, DOI: 10.1109/ICEEE.2014.6978261</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073735&pid=S1405-5546201500020000900004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>5. Filiberto, Y., Bello, R., Caballero, Y., &amp; Larrua, R.</b> <b>(2011)&nbsp;.</b> A measure in the rough set theory to decision systems with continuo features. <i>Revista de la Facultad de Ingenier&iacute;a de la Universidad Antioquia,</i> No. 60, pp. 141&#45;152.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073736&pid=S1405-5546201500020000900005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <p align="justify"><font face="verdana" size="2"><b>6. Mosqueda, R. (2010).</b> Fallibility of the Rough Set Method in the formulation of a failure prediction index model of dynamic risk. <i>Journal of Economics, Finance and Administrative Science,</i> M&eacute;xico.</font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2"><b>7. Pawlak, Z. &amp; Skowron, A. (2007).</b> Rough sets: Some Extensions. <i>Information Sciences,</i> Vol. 177, pp. 28&#45;40. DOI: 10.1016/j.ins.2006.06.006</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073739&pid=S1405-5546201500020000900006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>8. Slowinski, R. &amp; Vanderpooten, D. (2000).</b> A generalized definition of rough approximations based on similarity. <i>IEEE Transactions on Data and Knowledge Engineering,</i> Vol. 12, No. 2, pp. 331&#45;336. DOI: 10.1109/69.842271</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073740&pid=S1405-5546201500020000900007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>9. Filiberto, Y., Bello, R., Caballero, Y., &amp; Ramos, G. (2011).</b> Improving the MLP Learning by Using a Method to Calculate the Initial Weights of the Network Based on the Quality of Similarity Measure. <i>MICAI 2011.</i> DOI: 10.1007/978&#45;3&#45;642&#45;25330&#45;0_31</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073741&pid=S1405-5546201500020000900008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>10. Bello, M., Garc&iacute;a, M., &amp; Bello, R. (2013).</b> A method for building prototypes in the nearest prototype approach based on similarity relations for problems of function approximation. <i>LNCS,</i> Vol. 7629, pp. 39&#45;50. DOI: 10.1007/978&#45;3&#45;642&#45;37807&#45;2_4</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073742&pid=S1405-5546201500020000900009&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>11. Filiberto, Y., Bello, R., Caballero, Y., Frias, &amp; M.</b> <b>(2011).</b> Algoritmo para el aprendizaje de reglas de clasificaci&oacute;n basado en la teor&iacute;a de los conjuntos aproximados extendida. <i>DYNA,</i> 78, pp. 62&#45;70.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073743&pid=S1405-5546201500020000900010&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2"><b>12. Bratton, D. &amp; Kennedy, J. (2007).</b> Defining a Standard for Particle Swarm Optimization. <i>IEEE Swarm Intelligence Symposium</i> (SIS 2007). DOI: 10.1109/SIS.2007.368035</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073745&pid=S1405-5546201500020000900011&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>13. Hussain, M. (2010).</b> <i>Fuzzy Relation.</i> Thesis for the degree Master of Science in Mathematical Modelling and Simulation. Blekinge Institute of Technology School of Engineering.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073746&pid=S1405-5546201500020000900012&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2"><b>14. Zadeh, L.A. (1971).</b> Similarity relations and fuzzy orderings. <i>Information Sciences,</i> Vol. 3 No. 2, pp. 177&#45;200. DOI: 10.1016/S0020&#45;0255(71)80005&#45;1</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073748&pid=S1405-5546201500020000900013&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>15. Bodenhofer, U. (2000).</b> A similarity&#45;based generalization of fuzzy orderings preserving the classical axioms. <i>International Journal on Uncertainty and Fuzziness Knowledge&#45;Based Systems,</i> Vol. 8, No. 5, pp. 593&#45;610. DOI: 10.1142/S0218488500000411</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073749&pid=S1405-5546201500020000900014&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>16. Yang, M.S &amp; Shih, H.M. (2001).</b> Cluster analysis based on fuzzy relations. <i>Fuzzy Sets and Systems,</i> Vol. 120, pp. 197&#45;212. DOI: 10.1016/S0165&#45;0114(99)00146&#45;3</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073750&pid=S1405-5546201500020000900015&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>17. Verdegay, J.L., Yager, R.R., &amp; Bonissone, P.P. (2008).</b> On heuristics as a fundamental constituent of soft computing. <i>Fuzzy Sets and Systems,</i> Vol. 159, pp. 846&#45; 855. DOI: 10.1016/j.fss.2007.08.014</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073751&pid=S1405-5546201500020000900016&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>18. Cortez,</b> <b>P., Rocha,</b> <b>M., &amp;</b> <b>Neves,</b> <b>J. (2005).</b> Simultaneous Evolution of Neural Network Topologies and Weights for Classification and Regression. <i>IWANN 2005, LNCS,</i> Vol. 3512, pp. 59&#45;66.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073752&pid=S1405-5546201500020000900017&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2"><b>19. Hocenski, Z., Antunoviae,</b> <b>M. &amp; Filko, D. (2008).</b> Accelerated Gradient Learning Algorithm for Neural Network Weights Update. <i>LNCS,</i> Vol. 5177, pp. 49&#45;56. DOI: 10.1007/s00521&#45;009&#45;0286&#45;7</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073754&pid=S1405-5546201500020000900018&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>20. Fu, X., Zhang, S., &amp; Pang, Z. (2010).</b> A Resource Limited Immune Approach for Evolving Architecture and Weights of Multilayer Neural Network. <i>LNCS,</i> Vol. 6145, pp. 328&#45;337. DOI: 10.1007/978&#45;3&#45;64213495&#45;1 41</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073755&pid=S1405-5546201500020000900019&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>21. Stavros A., Karras, D.A. &amp; Vrahatis, M.N. (2009).</b> Revisiting the Problem of Weight Initialization for Multi&#45;Layer Perceptrons Trained with Back Propagation. <i>LNCS,</i> Vol. 5507, pp. 308&#45;315. DOI: 10.1007/978&#45;3&#45;642&#45;03040&#45;6_38</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073756&pid=S1405-5546201500020000900020&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2"><b>22. Kolen, J.F., &amp; Pollack, J.B. (1991).</b> Back propagation is sensitive to initial conditions. <i>Advances in Neural Information Processing Systems,</i> 3, Denver.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073757&pid=S1405-5546201500020000900021&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2"><b>23. Asuncion, A., &amp; Newman, D. (2007).</b> UCI machine learning repository. A study of the behavior of several methods for balancing machine learning training data. <i>SIGKDD Explorations,</i> Vol. 6, No. 1, pp. 20&#45;29.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=2073759&pid=S1405-5546201500020000900022&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>      ]]></body><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Filiberto]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Bello]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Caballero]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Larrua]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[A method to build similarity relations into extended Rough Set Theory]]></source>
<year>2010</year>
<publisher-loc><![CDATA[Cairo ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Filiberto]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Bello]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Caballero]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Frias]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[An analysis about the measure quality of similarity and its applications in machine learning]]></source>
<year>2013</year>
</nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Filiberto]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Bello]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Caballero]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Larrua]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Using PSO and RST to Predict the Resistant Capacity of Connections in Composite Structures]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[J.R.]]></given-names>
</name>
<name>
<surname><![CDATA[Pelta]]></surname>
<given-names><![CDATA[D.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Cruz]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Terrazas]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Krasnogor]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<source><![CDATA[NICSO 2010, SCI]]></source>
<year>2010</year>
<volume>284</volume>
<page-range>359-370</page-range><publisher-loc><![CDATA[Heidelberg ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fernandez]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Coello]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Filiberto]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Bello]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Falcon]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Learning Similarity Measures from Data with Fuzzy Sets and Particle Swarms]]></source>
<year>2014</year>
<page-range>1-6</page-range><publisher-name><![CDATA[Electrical Engineering, Computing Science and Automatic Control (CCE)]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Filiberto]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Bello]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Caballero]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Larrua]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[A measure in the rough set theory to decision systems with continuo features]]></article-title>
<source><![CDATA[Revista de la Facultad de Ingeniería de la Universidad Antioquia]]></source>
<year>2011</year>
<numero>60</numero>
<issue>60</issue>
<page-range>141-152</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>7</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pawlak]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Skowron]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Rough sets: Some Extensions]]></article-title>
<source><![CDATA[Information Sciences]]></source>
<year>2007</year>
<volume>177</volume>
<page-range>28-40</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>8</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Slowinski]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Vanderpooten]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[A generalized definition of rough approximations based on similarity]]></article-title>
<source><![CDATA[IEEE Transactions on Data and Knowledge Engineering]]></source>
<year>2000</year>
<volume>12</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>331-336</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>9</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Filiberto]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Bello]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Caballero]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Ramos]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<source><![CDATA[Improving the MLP Learning by Using a Method to Calculate the Initial Weights of the Network Based on the Quality of Similarity Measure]]></source>
<year>2011</year>
</nlm-citation>
</ref>
<ref id="B9">
<label>10</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bello]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[García]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Bello]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[A method for building prototypes in the nearest prototype approach based on similarity relations for problems of function approximation]]></article-title>
<source><![CDATA[LNCS]]></source>
<year>2013</year>
<volume>7629</volume>
<page-range>39-50</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>11</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Filiberto]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Bello]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Caballero]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Frias]]></surname>
</name>
</person-group>
<article-title xml:lang="es"><![CDATA[Algoritmo para el aprendizaje de reglas de clasificación basado en la teoría de los conjuntos aproximados extendida]]></article-title>
<source><![CDATA[DYNA]]></source>
<year>2011</year>
<volume>78</volume>
<page-range>62-</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>12</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bratton]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Kennedy]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Defining a Standard for Particle Swarm Optimization]]></source>
<year>2007</year>
</nlm-citation>
</ref>
<ref id="B12">
<label>13</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hussain]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fuzzy Relation]]></source>
<year>2010</year>
</nlm-citation>
</ref>
<ref id="B13">
<label>14</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zadeh]]></surname>
<given-names><![CDATA[L.A.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Similarity relations and fuzzy orderings]]></article-title>
<source><![CDATA[Information Sciences]]></source>
<year>1971</year>
<volume>3</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>177-200</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>15</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bodenhofer]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[A similarity-based generalization of fuzzy orderings preserving the classical axioms]]></article-title>
<source><![CDATA[International Journal on Uncertainty and Fuzziness Knowledge-Based Systems]]></source>
<year>2000</year>
<volume>8</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>593-610</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>16</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yang]]></surname>
<given-names><![CDATA[M.S]]></given-names>
</name>
<name>
<surname><![CDATA[Shih]]></surname>
<given-names><![CDATA[H.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Cluster analysis based on fuzzy relations]]></article-title>
<source><![CDATA[Fuzzy Sets and Systems]]></source>
<year>2001</year>
<volume>120</volume>
<page-range>197-212</page-range></nlm-citation>
</ref>
<ref id="B16">
<label>17</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Verdegay]]></surname>
<given-names><![CDATA[J.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Yager]]></surname>
<given-names><![CDATA[R.R.]]></given-names>
</name>
<name>
<surname><![CDATA[Bonissone]]></surname>
<given-names><![CDATA[P.P.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[On heuristics as a fundamental constituent of soft computing]]></article-title>
<source><![CDATA[Fuzzy Sets and Systems]]></source>
<year>2008</year>
<volume>159</volume>
<page-range>846- 855</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>18</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cortez]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Rocha]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Neves]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Simultaneous Evolution of Neural Network Topologies and Weights for Classification and Regression]]></article-title>
<source><![CDATA[IWANN 2005]]></source>
<year>2005</year>
<volume>3512</volume>
<page-range>59-66</page-range><publisher-name><![CDATA[LNCS]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B18">
<label>19</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hocenski]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Antunoviae]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Filko]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Accelerated Gradient Learning Algorithm for Neural Network Weights Update]]></article-title>
<source><![CDATA[LNCS]]></source>
<year>2008</year>
<volume>5177</volume>
<page-range>49-56</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>20</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fu]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Pang]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[A Resource Limited Immune Approach for Evolving Architecture and Weights of Multilayer Neural Network]]></article-title>
<source><![CDATA[LNCS]]></source>
<year>2010</year>
<volume>6145</volume>
<page-range>328-337</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>21</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Stavros]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Karras]]></surname>
<given-names><![CDATA[D.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Vrahatis]]></surname>
<given-names><![CDATA[M.N.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Revisiting the Problem of Weight Initialization for Multi-Layer Perceptrons Trained with Back Propagation]]></article-title>
<source><![CDATA[LNCS]]></source>
<year>2009</year>
<volume>5507</volume>
<page-range>308-315</page-range></nlm-citation>
</ref>
<ref id="B21">
<label>22</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kolen]]></surname>
<given-names><![CDATA[J.F.]]></given-names>
</name>
<name>
<surname><![CDATA[Pollack]]></surname>
<given-names><![CDATA[J.B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Back propagation is sensitive to initial conditions]]></source>
<year>1991</year>
<publisher-loc><![CDATA[Denver ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B22">
<label>23</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Asuncion]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Newman]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[UCI machine learning repository]]></article-title>
<source><![CDATA[SIGKDD Explorations]]></source>
<year>2007</year>
<volume>6</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>20-29</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
