{"id":"https://openalex.org/W2053086704","doi":"https://doi.org/10.1109/fuzz-ieee.2012.6251303","title":"Direct centroid computation of fuzzy numbers","display_name":"Direct centroid computation of fuzzy numbers","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2053086704","doi":"https://doi.org/10.1109/fuzz-ieee.2012.6251303","mag":"2053086704"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2012.6251303","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2012.6251303","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/1268707","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037323311","display_name":"Shilian Han","orcid":null},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shilian Han","raw_affiliation_strings":["School of Marketing and Logistics, Nanjing University of Finance and Economics, Nanjing, Jiangsu, China","School of Marketing and Logistics, Nanjing University of Finance and Economics, Jiangsu, 210046, China"],"affiliations":[{"raw_affiliation_string":"School of Marketing and Logistics, Nanjing University of Finance and Economics, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I137056471"]},{"raw_affiliation_string":"School of Marketing and Logistics, Nanjing University of Finance and Economics, Jiangsu, 210046, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041297347","display_name":"Xiuzhi Sang","orcid":"https://orcid.org/0000-0002-4232-1959"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuzhi Sang","raw_affiliation_strings":["School of Economics and Management, South East University, Nanjing, Jiangsu, China","School of Economics and Management , Southeast University , Nanjing , Jiangsu , 210096 , China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, South East University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Economics and Management , Southeast University , Nanjing , Jiangsu , 210096 , China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048261783","display_name":"Xinwang Liu","orcid":"https://orcid.org/0000-0001-8230-8380"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinwang Liu","raw_affiliation_strings":["School of Economics and Management, South East University, Nanjing, Jiangsu, China","School of Economics and Management , Southeast University , Nanjing , Jiangsu , 210096 , China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, South East University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Economics and Management , Southeast University , Nanjing , Jiangsu , 210096 , China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088716214","display_name":"Yong Qin","orcid":"https://orcid.org/0000-0002-6519-8316"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Qin","raw_affiliation_strings":["State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, China","[State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, 100044, China]"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]},{"raw_affiliation_string":"[State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, 100044, China]","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5037323311"],"corresponding_institution_ids":["https://openalex.org/I137056471"],"apc_list":null,"apc_paid":null,"fwci":0.4145,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68191511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9990000128746033,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9656999707221985,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.923917829990387},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.9003069400787354},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.573234498500824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.551011323928833},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49610647559165955},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4420817792415619},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4348943829536438},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.42849984765052795},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.41599082946777344},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4066755771636963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3270767629146576},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32597261667251587},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.32302945852279663}],"concepts":[{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.923917829990387},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.9003069400787354},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.573234498500824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.551011323928833},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49610647559165955},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4420817792415619},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4348943829536438},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.42849984765052795},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.41599082946777344},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4066755771636963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3270767629146576},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32597261667251587},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.32302945852279663},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz-ieee.2012.6251303","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2012.6251303","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:zenodo.org:1268707","is_oa":true,"landing_page_url":"https://zenodo.org/record/1268707","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:1268707","is_oa":true,"landing_page_url":"https://zenodo.org/record/1268707","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1601763377","https://openalex.org/W1965387747","https://openalex.org/W1976920082","https://openalex.org/W1983658296","https://openalex.org/W1983686086","https://openalex.org/W1994112479","https://openalex.org/W2008315929","https://openalex.org/W2026832772","https://openalex.org/W2039037639","https://openalex.org/W2042962936","https://openalex.org/W2045786733","https://openalex.org/W2051798785","https://openalex.org/W2055749938","https://openalex.org/W2130135344","https://openalex.org/W2134580631","https://openalex.org/W2149276443","https://openalex.org/W2150946784","https://openalex.org/W2151614844","https://openalex.org/W2161771180","https://openalex.org/W2324038710","https://openalex.org/W2482430271","https://openalex.org/W4285719527","https://openalex.org/W6700705605"],"related_works":["https://openalex.org/W4236695056","https://openalex.org/W87675884","https://openalex.org/W154406135","https://openalex.org/W2132859092","https://openalex.org/W2320922716","https://openalex.org/W2013143463","https://openalex.org/W2384503959","https://openalex.org/W2181335288","https://openalex.org/W2012019755","https://openalex.org/W2374152511"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"give":[4],"two":[5],"direct":[6],"centroid":[7,32],"computation":[8,33,47],"methods":[9,37],"for":[10],"fuzzy":[11],"numbers:":[12],"One":[13],"is":[14,23],"to":[15,24,52],"use":[16,25],"the":[17,21,26,30,35,54,64],"membership":[18],"function":[19],"and":[20,43],"other":[22],"alpha-cuts.":[27],"Compared":[28],"with":[29,57],"current":[31],"methods,":[34],"new":[36],"are":[38,49],"simple":[39],"both":[40],"in":[41],"expression":[42],"computation.":[44],"Weighted":[45],"samples":[46],"method":[48],"also":[50],"proposed":[51,67],"improve":[53],"computational":[55],"accuracy":[56],"numerical":[58],"integration":[59],"technique.":[60],"Three":[61],"examples":[62],"illustrate":[63],"application":[65],"of":[66],"methods.":[68]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}