{"id":"https://openalex.org/W2070527116","doi":"https://doi.org/10.1109/tcyb.2013.2283021","title":"Deriving a Ranking From Hesitant Fuzzy Preference Relations Under Group Decision Making","display_name":"Deriving a Ranking From Hesitant Fuzzy Preference Relations Under Group Decision Making","publication_year":2013,"publication_date":"2013-10-23","ids":{"openalex":"https://openalex.org/W2070527116","doi":"https://doi.org/10.1109/tcyb.2013.2283021","mag":"2070527116","pmid":"https://pubmed.ncbi.nlm.nih.gov/24158525"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2013.2283021","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2013.2283021","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5055385129","display_name":"Bin Zhu","orcid":"https://orcid.org/0000-0003-0362-6191"},"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":"Bin Zhu","raw_affiliation_strings":["School of Economics and Management, Southeast University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100437308","display_name":"Zeshui Xu","orcid":"https://orcid.org/0000-0003-3547-2908"},"institutions":[{"id":"https://openalex.org/I4210163363","display_name":"PLA Army Engineering University","ror":"https://ror.org/05mgp8x93","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163363"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeshui Xu","raw_affiliation_strings":["College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, China","[College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I4210163363"]},{"raw_affiliation_string":"[College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, China]","institution_ids":["https://openalex.org/I4210163363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100691507","display_name":"Jiuping Xu","orcid":"https://orcid.org/0000-0003-3756-3969"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiuping Xu","raw_affiliation_strings":["Uncertainty Decision-making Laboratory, Sichuan University, Chengdu, Sichuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Uncertainty Decision-making Laboratory, Sichuan University, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":11.1215,"has_fulltext":false,"cited_by_count":201,"citation_normalized_percentile":{"value":0.9851753,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"44","issue":"8","first_page":"1328","last_page":"1337"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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":0.9995999932289124,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9904999732971191,"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"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/normalization","display_name":"Normalization (sociology)","score":0.7869666218757629},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5745889544487},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5673449039459229},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.5459824800491333},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5352932214736938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45327767729759216},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.44144749641418457},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.4111568331718445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3603978157043457},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3582706153392792},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.33301371335983276},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19467639923095703},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.176460862159729},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.11623159050941467}],"concepts":[{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.7869666218757629},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5745889544487},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5673449039459229},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.5459824800491333},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5352932214736938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45327767729759216},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.44144749641418457},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.4111568331718445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3603978157043457},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3582706153392792},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.33301371335983276},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19467639923095703},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.176460862159729},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.11623159050941467},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003657","descriptor_name":"Decision Making","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003657","descriptor_name":"Decision Making","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003657","descriptor_name":"Decision Making","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017143","descriptor_name":"Fuzzy Logic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017143","descriptor_name":"Fuzzy Logic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017143","descriptor_name":"Fuzzy Logic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2013.2283021","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2013.2283021","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:24158525","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24158525","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.800000011920929,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G2083790147","display_name":null,"funder_award_id":"71071161","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5544475696","display_name":null,"funder_award_id":"61273209","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W179611734","https://openalex.org/W1969352744","https://openalex.org/W1970510720","https://openalex.org/W1978062397","https://openalex.org/W1980564456","https://openalex.org/W1993418540","https://openalex.org/W2012430137","https://openalex.org/W2013908206","https://openalex.org/W2015705737","https://openalex.org/W2020407132","https://openalex.org/W2031499317","https://openalex.org/W2040832520","https://openalex.org/W2050262998","https://openalex.org/W2055892602","https://openalex.org/W2066959845","https://openalex.org/W2069403107","https://openalex.org/W2088216283","https://openalex.org/W2089336319","https://openalex.org/W2118003794","https://openalex.org/W2121261007","https://openalex.org/W2129521002","https://openalex.org/W2131390763","https://openalex.org/W2137911902","https://openalex.org/W2138962584","https://openalex.org/W2144515526","https://openalex.org/W2145906330","https://openalex.org/W2152788100","https://openalex.org/W2157339075","https://openalex.org/W2167967165","https://openalex.org/W2168936936","https://openalex.org/W2324464097","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4239165868","https://openalex.org/W4254041307","https://openalex.org/W6653580720","https://openalex.org/W6700916494"],"related_works":["https://openalex.org/W2591697403","https://openalex.org/W2944728705","https://openalex.org/W2931602588","https://openalex.org/W1986265453","https://openalex.org/W2378292265","https://openalex.org/W2079781595","https://openalex.org/W59299519","https://openalex.org/W1855122900","https://openalex.org/W2804133259","https://openalex.org/W1969840038"],"abstract_inverted_index":{"In":[0,38],"this":[1],"paper,":[2],"we":[3,45,65,85],"explore":[4],"the":[5,15,53,57,62,79,82,87,93,110,121],"ranking":[6,122],"methods":[7],"with":[8],"hesitant":[9,24,27,69,111],"fuzzy":[10,25,28],"preference":[11],"relations":[12],"(HFPRs)":[13],"in":[14,117],"group":[16],"decision":[17],"making":[18],"environments.":[19],"As":[20],"basic":[21],"elements":[22,29],"of":[23,35,81,90,104],"sets,":[26],"(HFEs)":[30],"usually":[31],"have":[32,46],"different":[33],"numbers":[34],"possible":[36],"values.":[37],"order":[39],"to":[40,49,73,96,114,119],"compute":[41],"or":[42,99],"compare":[43],"HFEs,":[44],"two":[47],"principles":[48],"normalize":[50],"them,":[51],"i.e.,":[52],"\u03b1":[54,63],"-normalization":[55],"and":[56,107],"\u03b2":[58,83],"-normalization.":[59],"Based":[60],"on":[61],"-normalization,":[64,84],"develop":[66,86],"a":[67],"new":[68],"goal":[70],"programming":[71],"model":[72],"derive":[74],"priorities":[75],"from":[76],"HFPRs.":[77],"On":[78],"basis":[80],"consistency":[88,94],"measures":[89],"HFPRs,":[91],"establish":[92],"thresholds":[95],"measure":[97],"whether":[98],"not":[100],"an":[101],"HFPR":[102],"is":[103],"acceptable":[105],"consistency,":[106],"then":[108],"use":[109],"aggregation":[112],"operators":[113],"aggregate":[115],"preferences":[116],"HFPRs":[118],"obtain":[120],"results.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":28},{"year":2021,"cited_by_count":26},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":29},{"year":2018,"cited_by_count":29},{"year":2017,"cited_by_count":20},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":8}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
