{"id":"https://openalex.org/W2086228028","doi":"https://doi.org/10.1109/fskd.2013.6816241","title":"Fuzzy equivalence relation clustering with transitive closure, transitive opening and the optimal transitive approximation","display_name":"Fuzzy equivalence relation clustering with transitive closure, transitive opening and the optimal transitive approximation","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2086228028","doi":"https://doi.org/10.1109/fskd.2013.6816241","mag":"2086228028"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2013.6816241","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2013.6816241","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5023772104","display_name":"Yanli Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I179060312","display_name":"Northeast Electric Power University","ror":"https://ror.org/00zqaxa34","country_code":"CN","type":"education","lineage":["https://openalex.org/I179060312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanli Jiang","raw_affiliation_strings":["School of Science, Northeast Dianli University, Jilin, China","Sch. of Sci., Northeast Dianli Univ., Jilin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Northeast Dianli University, Jilin, China","institution_ids":["https://openalex.org/I179060312"]},{"raw_affiliation_string":"Sch. of Sci., Northeast Dianli Univ., Jilin, China","institution_ids":["https://openalex.org/I179060312"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050271133","display_name":"Guannan Deng","orcid":null},"institutions":[{"id":"https://openalex.org/I179060312","display_name":"Northeast Electric Power University","ror":"https://ror.org/00zqaxa34","country_code":"CN","type":"education","lineage":["https://openalex.org/I179060312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guannan Deng","raw_affiliation_strings":["School of Science, Northeast Dianli University, Jilin, China","Sch. of Sci., Northeast Dianli Univ., Jilin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Northeast Dianli University, Jilin, China","institution_ids":["https://openalex.org/I179060312"]},{"raw_affiliation_string":"Sch. of Sci., Northeast Dianli Univ., Jilin, China","institution_ids":["https://openalex.org/I179060312"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I179060312"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.16511619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"461","last_page":"465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9914000034332275,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9904999732971191,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/transitive-closure","display_name":"Transitive closure","score":0.9200630187988281},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.8224420547485352},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6824245452880859},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6680381894111633},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.6529959440231323},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.6450517773628235},{"id":"https://openalex.org/keywords/transitive-reduction","display_name":"Transitive reduction","score":0.5603609681129456},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.42068350315093994},{"id":"https://openalex.org/keywords/flame-clustering","display_name":"FLAME clustering","score":0.4110584855079651},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33409005403518677},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.303144633769989},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2252468466758728},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.22144079208374023},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10175222158432007},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.06572526693344116}],"concepts":[{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.9200630187988281},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.8224420547485352},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6824245452880859},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6680381894111633},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.6529959440231323},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.6450517773628235},{"id":"https://openalex.org/C129691609","wikidata":"https://www.wikidata.org/wiki/Q3088151","display_name":"Transitive reduction","level":5,"score":0.5603609681129456},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.42068350315093994},{"id":"https://openalex.org/C44859942","wikidata":"https://www.wikidata.org/wiki/Q5426511","display_name":"FLAME clustering","level":5,"score":0.4110584855079651},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33409005403518677},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.303144633769989},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2252468466758728},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.22144079208374023},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10175222158432007},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.06572526693344116},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2013.6816241","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2013.6816241","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5400000214576721,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W96212674","https://openalex.org/W1965313129","https://openalex.org/W1968839884","https://openalex.org/W1994877243","https://openalex.org/W1995158880","https://openalex.org/W2012063573","https://openalex.org/W2019508321","https://openalex.org/W2065835067","https://openalex.org/W2075704325","https://openalex.org/W2116780541","https://openalex.org/W3120740533"],"related_works":["https://openalex.org/W2075704325","https://openalex.org/W1553139688","https://openalex.org/W1503149859","https://openalex.org/W2044040096","https://openalex.org/W2008080405","https://openalex.org/W4366828350","https://openalex.org/W2038086027","https://openalex.org/W2362009423","https://openalex.org/W1907323098","https://openalex.org/W2144353008"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,32,40,69],"fuzzy":[4,26,35,51,56],"equivalence":[5,36,52],"relation":[6,28,37,53],"clustering":[7,38,43,48,54,58],"is":[8,29,44,59],"studied.":[9],"Firstly,":[10],"an":[11],"algorithm":[12],"for":[13],"obtaining":[14],"a":[15,20,25,47],"transitive":[16,22],"lower":[17],"approximation":[18,23],"or":[19],"suboptimal":[21],"of":[24],"similarity":[27],"given.":[30],"Secondly,":[31],"relationship":[33],"between":[34],"and":[39,55],"agglomerative":[41],"hierarchical":[42],"investigated.":[45],"Thirdly,":[46],"method":[49],"combining":[50],"c-means":[57],"proposed.":[60],"Finally,":[61],"numerical":[62],"experiments":[63],"are":[64],"carried":[65],"out":[66],"to":[67],"verify":[68],"algorithm.":[70]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}