<?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>2026-04-19T11:06:46Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2117/22906" metadataPrefix="oai_dc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2117/22906</identifier><datestamp>2025-07-17T04:39:24Z</datestamp><setSpec>com_2072_1033</setSpec><setSpec>col_2072_452950</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
   <dc:title>Approximating proximities by similarities</dc:title>
   <dc:creator>Garmendia Salvador, Luis</dc:creator>
   <dc:creator>Recasens Ferrés, Jorge</dc:creator>
   <dc:contributor>Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura</dc:contributor>
   <dc:contributor>Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions</dc:contributor>
   <dc:subject>Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica</dc:subject>
   <dc:subject>Fuzzy logic</dc:subject>
   <dc:subject>Proximity</dc:subject>
   <dc:subject>Tolerance relation</dc:subject>
   <dc:subject>Similarity</dc:subject>
   <dc:subject>Transitive closure</dc:subject>
   <dc:subject>Transitive opening</dc:subject>
   <dc:subject>Lògica difusa</dc:subject>
   <dc:description>In this paper an algorithm to find a similarity close to a proximity or tolerance relation R is given. The obtained similarity is closer to R than its transitive closure or any transitive opening of R.</dc:description>
   <dc:description>Peer Reviewed</dc:description>
   <dc:description>Postprint (published version)</dc:description>
   <dc:date>2008</dc:date>
   <dc:type>Conference report</dc:type>
   <dc:identifier>Garmendia, L.; Recasens, J. Approximating proximities by similarities. A: IPMU-2008. "Proceedings IPMU 2008". Malaga: Univ. Malaga, 2008, p. 1332-1335.</dc:identifier>
   <dc:identifier>https://hdl.handle.net/2117/22906</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:rights>Open Access</dc:rights>
   <dc:format>4 p.</dc:format>
   <dc:format>application/pdf</dc:format>
   <dc:publisher>Univ. Malaga</dc:publisher>
</oai_dc:dc></metadata></record></GetRecord></OAI-PMH>