{"id":"https://openalex.org/W2170557511","doi":"https://doi.org/10.1109/fuzzy.2004.1375710","title":"On the min-transitive approximation of symmetric fuzzy relations","display_name":"On the min-transitive approximation of symmetric fuzzy relations","publication_year":2005,"publication_date":"2005-02-22","ids":{"openalex":"https://openalex.org/W2170557511","doi":"https://doi.org/10.1109/fuzzy.2004.1375710","mag":"2170557511"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2004.1375710","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2004.1375710","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013637445","display_name":"Peter Dawyndt","orcid":"https://orcid.org/0000-0002-1623-9070"},"institutions":[{"id":"https://openalex.org/I2801227569","display_name":"Ghent University Hospital","ror":"https://ror.org/00xmkp704","country_code":"BE","type":"healthcare","lineage":["https://openalex.org/I2801227569"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"P. Dawyndt","raw_affiliation_strings":["Laboratory of Microbiology, Ghent University, Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Laboratory of Microbiology, Ghent University, Ghent, Belgium","institution_ids":["https://openalex.org/I2801227569"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109967168","display_name":"H. De Meyer","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"H. De Meyer","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Ghent University, Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Ghent University, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012437460","display_name":"Bernard De Baets","orcid":"https://orcid.org/0000-0002-3876-620X"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"B. De Baets","raw_affiliation_strings":["Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013637445"],"corresponding_institution_ids":["https://openalex.org/I2801227569"],"apc_list":null,"apc_paid":null,"fwci":0.3366,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65487618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"167","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/transitive-closure","display_name":"Transitive closure","score":0.9576379060745239},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.8726974129676819},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6579560041427612},{"id":"https://openalex.org/keywords/transitive-reduction","display_name":"Transitive reduction","score":0.6541830897331238},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4645274579524994},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.44121211767196655},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.4241827726364136},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4060167074203491},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3747151792049408},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3358141779899597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2266216278076172},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.15947765111923218},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14376559853553772}],"concepts":[{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.9576379060745239},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.8726974129676819},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6579560041427612},{"id":"https://openalex.org/C129691609","wikidata":"https://www.wikidata.org/wiki/Q3088151","display_name":"Transitive reduction","level":5,"score":0.6541830897331238},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4645274579524994},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.44121211767196655},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.4241827726364136},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4060167074203491},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3747151792049408},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3358141779899597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2266216278076172},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.15947765111923218},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14376559853553772},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/fuzzy.2004.1375710","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2004.1375710","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542)","raw_type":"proceedings-article"},{"id":"pmh:oai:archive.ugent.be:295996","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/295996","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN: 0-7803-8353-2","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:archive.ugent.be:404515","is_oa":false,"landing_page_url":"http://hdl.handle.net/1854/LU-404515","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN: 0-7803-8353-2","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6299999952316284,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W96212674","https://openalex.org/W1422646585","https://openalex.org/W1968839884","https://openalex.org/W1978933272","https://openalex.org/W2019529630","https://openalex.org/W2030968866","https://openalex.org/W2065835067","https://openalex.org/W2082984393","https://openalex.org/W4234672050","https://openalex.org/W6671226928"],"related_works":["https://openalex.org/W1553139688","https://openalex.org/W2362009423","https://openalex.org/W2371151875","https://openalex.org/W2383282217","https://openalex.org/W2136009070","https://openalex.org/W1994877243","https://openalex.org/W4230967508","https://openalex.org/W2012063573","https://openalex.org/W1996983051","https://openalex.org/W2349651113"],"abstract_inverted_index":{"Two":[0],"new":[1,44,86],"algorithms":[2,45,87],"are":[3,46],"proposed":[4],"for":[5],"generating":[6],"a":[7,11],"min-transitive":[8,30,64,90,94],"approximation":[9,95],"of":[10],"given":[12,25],"reflexive":[13,39],"and":[14,32,40,92],"symmetric":[15],"fuzzy":[16,26],"relation":[17,27],"which,":[18],"in":[19],"general,":[20],"deviates":[21],"less":[22],"from":[23],"the":[24,43,57,62,81,85,89,93,98],"than":[28],"its":[29],"closure,":[31],"which":[33],"is":[34],"guaranteed":[35],"to":[36,52,61,79,88],"be":[37,50],"still":[38],"symmetric.":[41],"Since":[42],"weight-driven,":[47],"they":[48],"can":[49],"used":[51],"generate":[53],"layer":[54,56],"by":[55,84,97],"partition":[58],"tree":[59],"associated":[60],"corresponding":[63],"approximation.":[65],"We":[66],"report":[67],"on":[68,76],"numerical":[69],"tests":[70],"that":[71],"have":[72],"been":[73],"carried":[74],"out":[75],"synthetic":[77],"data":[78],"compare":[80],"approximations":[82],"generated":[83],"closure":[91],"delivered":[96],"UPGMA":[99],"clustering":[100],"algorithm.":[101]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
