On two types of stable subconstructs of FTS
Identifieur interne : 001F79 ( Istex/Corpus ); précédent : 001F78; suivant : 001F80On two types of stable subconstructs of FTS
Auteurs : Nehad N. MorsiSource :
- Fuzzy Sets and Systems [ 0165-0114 ] ; 1995.
Abstract
In the topological construct FTS of fuzzy topological spaces and continuous functions, the subconstructs T-FLS, of fuzzy T-locality spaces, and T-FNS, of fuzzy T-neighbourhood spaces, are simultaneously bireflective and bicoreflective in FTS; for certain infinite sets of triangular norms T. We identify their stabilizing, total fuzzy topologies Ω(T-FLS) and Ω(T-FNS) on [0,1]; in the sense of Lowen and Wuyts (1993). (The special case of T = Min has already been dealt with by Lowen and Wuyts.) We also establish a symmetrically defined, order-reversing bijection between Ω(T-FNS) and a basis for Ω(T-FLS).
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DOI: 10.1016/0165-0114(95)00059-T
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We identify their stabilizing, total fuzzy topologies Ω(T-FLS) and Ω(T-FNS) on [0,1]; in the sense of Lowen and Wuyts (1993). (The special case of T = Min has already been dealt with by Lowen and Wuyts.) We also establish a symmetrically defined, order-reversing bijection between Ω(T-FNS) and a basis for Ω(T-FLS).</div></front></TEI><istex><corpusName>elsevier</corpusName><author><json:item><name>Nehad N. 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We identify their stabilizing, total fuzzy topologies Ω(T-FLS) and Ω(T-FNS) on [0,1]; in the sense of Lowen and Wuyts (1993). (The special case of T = Min has already been dealt with by Lowen and Wuyts.) We also establish a symmetrically defined, order-reversing bijection between Ω(T-FNS) and a basis for Ω(T-FLS).</p></abstract><textClass><keywords scheme="keyword"><list><head>Keywords</head><item><term>Fuzzy topology</term></item><item><term>Topological category</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="1995">Published</change></revisionDesc></teiHeader></istex:fulltextTEI></fulltext><metadata><istex:metadataXml wicri:clean="Elsevier, elements deleted: tail"><istex:xmlDeclaration>version="1.0" encoding="utf-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//ES//DTD journal article DTD version 4.5.2//EN//XML" URI="art452.dtd" name="istex:docType"></istex:docType><istex:document><converted-article version="4.5.2" docsubtype="fla"><item-info><jid>FSS</jid><aid>9500059T</aid><ce:pii>0165-0114(95)00059-T</ce:pii><ce:doi>10.1016/0165-0114(95)00059-T</ce:doi><ce:copyright type="unknown" year="1995"></ce:copyright></item-info><head><ce:title>On two types of stable subconstructs of FTS</ce:title><ce:author-group><ce:author><ce:given-name>Nehad N.</ce:given-name><ce:surname>Morsi</ce:surname></ce:author><ce:affiliation><ce:textfn>Department of Mathematics, Military Technical College, Cairo, Egypt</ce:textfn></ce:affiliation></ce:author-group><ce:abstract><ce:section-title>Abstract</ce:section-title><ce:abstract-sec><ce:simple-para>In the topological construct FTS of fuzzy topological spaces and continuous functions, the subconstructs <ce:italic>T</ce:italic>-FLS, of fuzzy <ce:italic>T</ce:italic>-locality spaces, and <ce:italic>T</ce:italic>-FNS, of fuzzy <ce:italic>T</ce:italic>-neighbourhood spaces, are simultaneously bireflective and bicoreflective in FTS; for certain infinite sets of triangular norms <ce:italic>T</ce:italic>. We identify their stabilizing, total fuzzy topologies <math altimg="si1.gif">Ω(T-<rm>FLS</rm>)</math> and <math altimg="si2.gif">Ω(T-<rm>FNS</rm>)</math> on [0,1]; in the sense of Lowen and Wuyts (1993). (The special case of <ce:italic>T</ce:italic> = Min has already been dealt with by Lowen and Wuyts.) We also establish a symmetrically defined, order-reversing bijection between <math altimg="si3.gif">Ω(T-<rm>FNS</rm>)</math> and a basis for <math altimg="si4.gif">Ω(T-<rm>FLS</rm>)</math>.</ce:simple-para></ce:abstract-sec></ce:abstract><ce:keywords><ce:section-title>Keywords</ce:section-title><ce:keyword><ce:text>Fuzzy topology</ce:text></ce:keyword><ce:keyword><ce:text>Topological category</ce:text></ce:keyword></ce:keywords></head></converted-article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo><title>On two types of stable subconstructs of FTS</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>On two types of stable subconstructs of FTS</title></titleInfo><name type="personal"><namePart type="given">Nehad N.</namePart><namePart type="family">Morsi</namePart><affiliation>Department of Mathematics, Military Technical College, Cairo, Egypt</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="Full-length article"></genre><originInfo><publisher>ELSEVIER</publisher><dateIssued encoding="w3cdtf">1995</dateIssued><copyrightDate encoding="w3cdtf">1995</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">In the topological construct FTS of fuzzy topological spaces and continuous functions, the subconstructs T-FLS, of fuzzy T-locality spaces, and T-FNS, of fuzzy T-neighbourhood spaces, are simultaneously bireflective and bicoreflective in FTS; for certain infinite sets of triangular norms T. We identify their stabilizing, total fuzzy topologies Ω(T-FLS) and Ω(T-FNS) on [0,1]; in the sense of Lowen and Wuyts (1993). (The special case of T = Min has already been dealt with by Lowen and Wuyts.) We also establish a symmetrically defined, order-reversing bijection between Ω(T-FNS) and a basis for Ω(T-FLS).</abstract><subject><genre>Keywords</genre><topic>Fuzzy topology</topic><topic>Topological category</topic></subject><relatedItem type="host"><titleInfo><title>Fuzzy Sets and Systems</title></titleInfo><titleInfo type="abbreviated"><title>FSS</title></titleInfo><genre type="Journal">journal</genre><originInfo><dateIssued encoding="w3cdtf">19951208</dateIssued></originInfo><identifier type="ISSN">0165-0114</identifier><identifier type="PII">S0165-0114(00)X0016-4</identifier><part><date>19951208</date><detail type="issue"><title>Mathematical Aspects of Fuzzy Set Theory</title></detail><detail type="volume"><number>76</number><caption>vol.</caption></detail><detail type="issue"><number>2</number><caption>no.</caption></detail><extent unit="issue pages"><start>139</start><end>275</end></extent><extent unit="pages"><start>191</start><end>203</end></extent></part></relatedItem><identifier type="istex">FF3CEE60CD146CF62A58533819A6E561FEB8C678</identifier><identifier type="DOI">10.1016/0165-0114(95)00059-T</identifier><identifier type="PII">0165-0114(95)00059-T</identifier><recordInfo><recordContentSource>ELSEVIER</recordContentSource></recordInfo></mods></metadata><enrichments><istex:catWosTEI uri="https://api.istex.fr/document/FF3CEE60CD146CF62A58533819A6E561FEB8C678/enrichments/catWos"><teiHeader><profileDesc><textClass><classCode scheme="WOS">COMPUTER SCIENCE, THEORY & METHODS</classCode><classCode scheme="WOS">MATHEMATICS, APPLIED</classCode><classCode scheme="WOS">STATISTICS & PROBABILITY</classCode></textClass></profileDesc></teiHeader></istex:catWosTEI></enrichments><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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