{"id":"https://openalex.org/W2141507848","doi":"https://doi.org/10.1109/fuzzy.2009.5277211","title":"Refinement geometric algorithms for type-2 fuzzy set operations","display_name":"Refinement geometric algorithms for type-2 fuzzy set operations","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2141507848","doi":"https://doi.org/10.1109/fuzzy.2009.5277211","mag":"2141507848"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2009.5277211","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2009.5277211","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Fuzzy Systems","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/A5006784121","display_name":"Long Thanh Ngo","orcid":"https://orcid.org/0000-0002-3856-3154"},"institutions":[{"id":"https://openalex.org/I131359167","display_name":"Le Quy Don Technical University","ror":"https://ror.org/04wgyjv21","country_code":"VN","type":"education","lineage":["https://openalex.org/I131359167"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Long Thanh Ngo","raw_affiliation_strings":["Center of Simulation Technology, Le Quy Don University of Technology, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Center of Simulation Technology, Le Quy Don University of Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I131359167"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022335609","display_name":"Long The Pham","orcid":"https://orcid.org/0000-0003-1975-2344"},"institutions":[{"id":"https://openalex.org/I131359167","display_name":"Le Quy Don Technical University","ror":"https://ror.org/04wgyjv21","country_code":"VN","type":"education","lineage":["https://openalex.org/I131359167"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Long The Pham","raw_affiliation_strings":["Center of Simulation Technology, Le Quy Don University of Technology, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Center of Simulation Technology, Le Quy Don University of Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I131359167"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055750520","display_name":"Phuong H. D. Nguyen","orcid":"https://orcid.org/0000-0002-8993-332X"},"institutions":[{"id":"https://openalex.org/I4210152602","display_name":"Ministry of Health","ror":"https://ror.org/055546q82","country_code":"VN","type":"government","lineage":["https://openalex.org/I4210152602"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Phuong Hoang Nguyen","raw_affiliation_strings":["Center of Health Information Technology, Ministry of Health, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Center of Health Information Technology, Ministry of Health, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210152602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065389686","display_name":"Kaoru Hirota","orcid":"https://orcid.org/0000-0002-8118-9815"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kaoru Hirota","raw_affiliation_strings":["Tokyo Institute of Technology, Yokohama, Japan"],"affiliations":[{"raw_affiliation_string":"Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006784121"],"corresponding_institution_ids":["https://openalex.org/I131359167"],"apc_list":null,"apc_paid":null,"fwci":1.9022,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.868659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"866","last_page":"871"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14438","display_name":"Advanced Scientific Research Methods","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T14438","display_name":"Advanced Scientific Research Methods","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9732000231742859,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9470999836921692,"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/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.6714903116226196},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5841155052185059},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5805805921554565},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5801581144332886},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5665570497512817},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5373351573944092},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.533907949924469},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.52875155210495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5188785195350647},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.4654933214187622},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.4446733295917511},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4263211488723755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40827906131744385},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24776571989059448},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06388494372367859}],"concepts":[{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.6714903116226196},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5841155052185059},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5805805921554565},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5801581144332886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5665570497512817},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5373351573944092},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.533907949924469},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.52875155210495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5188785195350647},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.4654933214187622},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.4446733295917511},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4263211488723755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40827906131744385},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24776571989059448},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06388494372367859},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzzy.2009.5277211","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2009.5277211","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:t2r2.star.titech.ac.jp:50101735","is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100601415","pdf_url":null,"source":{"id":"https://openalex.org/S4377196385","display_name":"Tokyo Tech Research Repository (Tokyo Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114531698","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/I114531698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1596237417","https://openalex.org/W1751078205","https://openalex.org/W1896545594","https://openalex.org/W1983658296","https://openalex.org/W2014843742","https://openalex.org/W2038354192","https://openalex.org/W2063928388","https://openalex.org/W2105234323","https://openalex.org/W2118126724","https://openalex.org/W2121029369","https://openalex.org/W2126930230","https://openalex.org/W2129412583","https://openalex.org/W2132885717","https://openalex.org/W2135301926","https://openalex.org/W2141178894","https://openalex.org/W2141820524","https://openalex.org/W2149906774","https://openalex.org/W2162706466","https://openalex.org/W4214494916","https://openalex.org/W6639467858"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W1485268022","https://openalex.org/W2331106272","https://openalex.org/W1975005191","https://openalex.org/W3176863924","https://openalex.org/W1542808721","https://openalex.org/W2253053392","https://openalex.org/W173448675","https://openalex.org/W4361984403","https://openalex.org/W4388451300"],"abstract_inverted_index":{"The":[0],"paper":[1],"deals":[2],"with":[3],"an":[4],"approach":[5],"to":[6,60],"applications":[7,56],"of":[8,11,26,33,49,57,62],"e-approximate":[9],"representation":[10,59],"type-2":[12,27,50,63],"fuzzy":[13,28,51,64],"sets":[14,29,52],"using":[15,31],"triangulated":[16],"irregular":[17],"network":[18],"(TIN).":[19],"Geometric":[20],"algorithms":[21],"are":[22,53],"designed":[23],"for":[24],"operations":[25,61],"without":[30],"manner":[32],"upper":[34],"or":[35],"lower":[36],"surfaces.":[37],"Operations":[38],"involving":[39],"meet":[40],"under":[41,44],"minimum,":[42,45],"join":[43],"negation,":[46],"inference":[47],"process":[48],"presented":[54],"as":[55],"geometric":[58],"sets.":[65]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
