<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-08-01T14:19:59Z</responseDate><request verb="GetRecord" identifier="oai:docta.ucm.es:20.500.14352/53160" metadataPrefix="mods">https://docta.ucm.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:docta.ucm.es:20.500.14352/53160</identifier><datestamp>2024-11-26T15:19:15Z</datestamp><setSpec>com_20.500.14352_14</setSpec><setSpec>col_20.500.14352_21</setSpec></header><metadata><mods:mods xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
   <mods:name>
      <mods:namePart>Garmendia Salvador, Luis</mods:namePart>
   </mods:name>
   <mods:name>
      <mods:namePart>Salvador Alcaide, Adela</mods:namePart>
   </mods:name>
   <mods:name>
      <mods:namePart>Montero De Juan, Francisco Javier</mods:namePart>
   </mods:name>
   <mods:extension>
      <mods:dateAvailable encoding="iso8601">2023-06-20T13:38:30Z</mods:dateAvailable>
   </mods:extension>
   <mods:extension>
      <mods:dateAccessioned encoding="iso8601">2023-06-20T13:38:30Z</mods:dateAccessioned>
   </mods:extension>
   <mods:originInfo>
      <mods:dateIssued encoding="iso8601">2008-09</mods:dateIssued>
   </mods:originInfo>
   <mods:identifier type="citation">Garmendia, L., Salvador, A., Montero, J.: COMPUTING A T-TRANSITIVE OPENING OF A PROXIMITY. En: Computational Intelligence in Decision and Control. pp. 157-162. WORLD SCIENTIFIC, Madrid, Spain (2008)</mods:identifier>
   <mods:identifier type="isbn">978-981-279-946-3</mods:identifier>
   <mods:identifier type="doi">10.1142/9789812799470_0026</mods:identifier>
   <mods:identifier type="uri">https://hdl.handle.net/20.500.14352/53160</mods:identifier>
   <mods:identifier type="officialurl">https//doi.org/10.1142/9789812799470_0026</mods:identifier>
   <mods:identifier type="relatedurl">http://eproceedings.worldscinet.com/9789812799470/9789812799470_0026.html</mods:identifier>
   <mods:abstract>A fast method to compute a T-indistinguishability from a reflexive and symmetric fuzzy relation is given for any left-continuous t-norm, taking O(n(3)) time complexity, where n is the number of elements in the universe. It is proved that the computed fuzzy relation is a T-transitive opening when T is the minimum t-norm or a strictly growing t-norm. As far as we know, this is the first known algorithm that computes T-transitive openings preserving the reflexive and symmetric properties.</mods:abstract>
   <mods:language>
      <mods:languageTerm>eng</mods:languageTerm>
   </mods:language>
   <mods:accessCondition type="useAndReproduction">restricted access</mods:accessCondition>
   <mods:titleInfo>
      <mods:title>Computing a T-transitive opening of a proximity</mods:title>
   </mods:titleInfo>
   <mods:genre>book part</mods:genre>
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