{"id":"https://openalex.org/W2165936722","doi":"https://doi.org/10.1142/s0219622005001696","title":"RANKING FUZZY NUMBER BASED ON LEXICOGRAPHIC SCREENING PROCEDURE","display_name":"RANKING FUZZY NUMBER BASED ON LEXICOGRAPHIC SCREENING PROCEDURE","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W2165936722","doi":"https://doi.org/10.1142/s0219622005001696","mag":"2165936722"},"language":"en","primary_location":{"id":"doi:10.1142/s0219622005001696","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622005001696","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Technology & Decision Making","raw_type":"journal-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/A5084553725","display_name":"Miao-Ling Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I143003336","display_name":"Minghsin University of Science and Technology","ror":"https://ror.org/054etzm63","country_code":"TW","type":"education","lineage":["https://openalex.org/I143003336"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"MIAO-LING WANG","raw_affiliation_strings":["Department of Industrial Engineering and Management, Ming Hsin University of Science & Technology, Hsinchu, Taiwan, Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Ming Hsin University of Science & Technology, Hsinchu, Taiwan, Republic of China","institution_ids":["https://openalex.org/I143003336"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019822282","display_name":"Hsiao\u2010Fan Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"HSIAO-FAN WANG","raw_affiliation_strings":["Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu, Taiwan, Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu, Taiwan, Republic of China","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060570866","display_name":"Chih\u2010Lung Lin","orcid":"https://orcid.org/0000-0002-4948-8591"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"CHIH-LUNG LIN","raw_affiliation_strings":["Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu, Taiwan, Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu, Taiwan, Republic of China","institution_ids":["https://openalex.org/I25846049"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2263,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.94347455,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"04","issue":"04","first_page":"663","last_page":"678"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9556999802589417,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.946399986743927,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.8985008001327515},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.8187844753265381},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6774637699127197},{"id":"https://openalex.org/keywords/ranking-svm","display_name":"Ranking SVM","score":0.5114971399307251},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5099135637283325},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.47825542092323303},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4506792724132538},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44147640466690063},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42553621530532837},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3969508707523346},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.37079572677612305},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.33776307106018066},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.24622738361358643},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23997357487678528},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.0902940034866333}],"concepts":[{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.8985008001327515},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.8187844753265381},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6774637699127197},{"id":"https://openalex.org/C124975894","wikidata":"https://www.wikidata.org/wiki/Q7293290","display_name":"Ranking SVM","level":3,"score":0.5114971399307251},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5099135637283325},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.47825542092323303},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4506792724132538},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44147640466690063},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42553621530532837},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3969508707523346},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.37079572677612305},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.33776307106018066},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.24622738361358643},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23997357487678528},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0902940034866333},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219622005001696","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622005001696","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Technology & Decision Making","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:04:y:2005:i:04:n:s0219622005001696","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219622005001696","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:04:y:2005:i:04:p:663-678","is_oa":false,"landing_page_url":"http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219622005001696","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1515119244","https://openalex.org/W1967222939","https://openalex.org/W1969140532","https://openalex.org/W1986550159","https://openalex.org/W1990794890","https://openalex.org/W2015863957","https://openalex.org/W2021948638","https://openalex.org/W2026832772","https://openalex.org/W2027655085","https://openalex.org/W2039796074","https://openalex.org/W2043578191","https://openalex.org/W2053454023","https://openalex.org/W2054869590","https://openalex.org/W2078538587","https://openalex.org/W2086390519","https://openalex.org/W2090266900","https://openalex.org/W2107390469","https://openalex.org/W3010279532","https://openalex.org/W3125949006","https://openalex.org/W4210259099","https://openalex.org/W4300491437"],"related_works":["https://openalex.org/W2165936722","https://openalex.org/W1582705953","https://openalex.org/W4297668670","https://openalex.org/W2887695206","https://openalex.org/W2081405387","https://openalex.org/W4200423625","https://openalex.org/W4294266739","https://openalex.org/W603486166","https://openalex.org/W1493159477","https://openalex.org/W2133148446"],"abstract_inverted_index":{"Fuzzy":[0],"numbers":[1,66],"are":[2],"used":[3,147],"for":[4,21,63,88,99,148],"representing":[5],"the":[6,26,71,97,111,143],"numerical":[7],"quantities":[8],"in":[9,129],"a":[10,31,35,51,89,100,117],"vague":[11],"environment.":[12],"Their":[13],"ranking":[14,28,79,106,112,130],"order":[15,91,113],"has":[16,124],"been":[17],"an":[18],"important":[19],"issue":[20],"application":[22],"purposes.":[23],"Most":[24],"of":[25,78,92,105,114,138,142],"existing":[27,144],"methods":[29,145],"transform":[30],"fuzzy":[32,65,93,131],"number":[33,37,74,132],"into":[34],"real":[36,73],"based":[38,109],"on":[39,110],"certain":[40],"criteria.":[41,107],"There":[42],"is":[43,121],"yet":[44],"no":[45],"method":[46],"that":[47,58],"can":[48],"always":[49],"give":[50],"satisfactory":[52],"solution.":[53],"This":[54],"study":[55],"pointed":[56],"out":[57],"it":[59],"cannot":[60],"be":[61,68,86,127],"avoided":[62],"different":[64],"to":[67,70,126],"corresponding":[69],"same":[72],"by":[75],"any":[76],"type":[77],"functions.":[80],"Therefore,":[81],"sequential":[82],"screening":[83],"approach":[84],"would":[85],"necessary":[87,103],"complete":[90],"numbers.":[94],"We":[95],"summarize":[96],"properties":[98],"sufficient":[101],"and":[102,136],"set":[104],"Then,":[108],"these":[115],"criteria,":[116],"Lexicographical":[118],"Screening":[119],"Procedure":[120],"proposed,":[122],"which":[123],"shown":[125],"promising":[128],"with":[133],"efficient":[134],"computation":[135],"ease":[137],"understanding.":[139],"Six":[140],"counterexamples":[141],"were":[146],"comparison.":[149]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}