{"id":"https://openalex.org/W4384824521","doi":"https://doi.org/10.1142/s0219265923500093","title":"The Ordinal Consistency of a Hesitant Fuzzy Preference Relation","display_name":"The Ordinal Consistency of a Hesitant Fuzzy Preference Relation","publication_year":2023,"publication_date":"2023-07-19","ids":{"openalex":"https://openalex.org/W4384824521","doi":"https://doi.org/10.1142/s0219265923500093"},"language":"en","primary_location":{"id":"doi:10.1142/s0219265923500093","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265923500093","pdf_url":null,"source":{"id":"https://openalex.org/S63112013","display_name":"Journal of Interconnection Networks","issn_l":"0219-2659","issn":["0219-2659","1793-6713"],"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":"Journal of Interconnection Networks","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/A5008564522","display_name":"Feng Xue","orcid":"https://orcid.org/0000-0003-2828-1476"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]},{"id":"https://openalex.org/I116265982","display_name":"Qinghai University","ror":"https://ror.org/05h33bt13","country_code":"CN","type":"education","lineage":["https://openalex.org/I116265982"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue Feng","raw_affiliation_strings":["College of Computer Science and Technology, Qinghai Normal University, Xining, Qinghai 810006, P. R.\u00a0China","College of Mathematics and Statistics, Qinghai Minzu University, Xining, Qinghai 810007, P. R.\u00a0China","The Key State Laboratory of Tibetan Intelligent Information Processing and Application, Xining, Qinghai 810008, P. R.\u00a0China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Qinghai Normal University, Xining, Qinghai 810006, P. R.\u00a0China","institution_ids":["https://openalex.org/I20616075"]},{"raw_affiliation_string":"College of Mathematics and Statistics, Qinghai Minzu University, Xining, Qinghai 810007, P. R.\u00a0China","institution_ids":["https://openalex.org/I116265982"]},{"raw_affiliation_string":"The Key State Laboratory of Tibetan Intelligent Information Processing and Application, Xining, Qinghai 810008, P. R.\u00a0China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020749269","display_name":"Shengling Geng","orcid":"https://orcid.org/0000-0002-9897-3147"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shengling Geng","raw_affiliation_strings":["College of Computer Science and Technology, Qinghai Normal University, Xining, Qinghai 810006, P. R.\u00a0China","The Key State Laboratory of Tibetan Intelligent Information Processing and Application, Xining, Qinghai 810008, P. R.\u00a0China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Qinghai Normal University, Xining, Qinghai 810006, P. R.\u00a0China","institution_ids":["https://openalex.org/I20616075"]},{"raw_affiliation_string":"The Key State Laboratory of Tibetan Intelligent Information Processing and Application, Xining, Qinghai 810008, P. R.\u00a0China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038576214","display_name":"Banghe Han","orcid":"https://orcid.org/0000-0003-1955-8445"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Banghe Han","raw_affiliation_strings":["School of Mathematics and Statistics, Xidian University, Xi\u2019an, 710126, P.\u00a0R.\u00a0China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi\u2019an, 710126, P.\u00a0R.\u00a0China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020749269"],"corresponding_institution_ids":["https://openalex.org/I20616075"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10767026,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"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":0.9994999766349792,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9901999831199646,"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"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9811999797821045,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/preference-relation","display_name":"Preference relation","score":0.873383641242981},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.8174147009849548},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.77864670753479},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.6640915870666504},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6523322463035583},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.643670380115509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5063198804855347},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.4596234858036041},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4523412585258484},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.31126368045806885},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3001430630683899},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1837393343448639},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1377059817314148},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10543206334114075}],"concepts":[{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.873383641242981},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.8174147009849548},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.77864670753479},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.6640915870666504},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6523322463035583},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.643670380115509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5063198804855347},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.4596234858036041},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4523412585258484},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.31126368045806885},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3001430630683899},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1837393343448639},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1377059817314148},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10543206334114075}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219265923500093","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265923500093","pdf_url":null,"source":{"id":"https://openalex.org/S63112013","display_name":"Journal of Interconnection Networks","issn_l":"0219-2659","issn":["0219-2659","1793-6713"],"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":"Journal of Interconnection Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8199999928474426}],"awards":[{"id":"https://openalex.org/G6710911545","display_name":null,"funder_award_id":"61862055","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7249897283","display_name":null,"funder_award_id":"2020-SF-139","funder_id":"https://openalex.org/F4320329240","funder_display_name":"Qinghai Provincial Key Laboratory of Tibetan Medicine Research"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320329240","display_name":"Qinghai Provincial Key Laboratory of Tibetan Medicine Research","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W138055454","https://openalex.org/W572909099","https://openalex.org/W1541230581","https://openalex.org/W1569035261","https://openalex.org/W1583981513","https://openalex.org/W1606108510","https://openalex.org/W1970842794","https://openalex.org/W1972529917","https://openalex.org/W1978829539","https://openalex.org/W1984880160","https://openalex.org/W1991435698","https://openalex.org/W1993223769","https://openalex.org/W1997496968","https://openalex.org/W2001482754","https://openalex.org/W2016075546","https://openalex.org/W2016343709","https://openalex.org/W2021767647","https://openalex.org/W2023689789","https://openalex.org/W2029606308","https://openalex.org/W2039760542","https://openalex.org/W2052366812","https://openalex.org/W2068655514","https://openalex.org/W2070527116","https://openalex.org/W2089336319","https://openalex.org/W2091943101","https://openalex.org/W2118763747","https://openalex.org/W2129521002","https://openalex.org/W2145906330","https://openalex.org/W2611537358","https://openalex.org/W2708720736","https://openalex.org/W2889184531","https://openalex.org/W2969947121","https://openalex.org/W3012269447","https://openalex.org/W3156834475","https://openalex.org/W4210850639","https://openalex.org/W4214831569","https://openalex.org/W4254041307","https://openalex.org/W4294555142"],"related_works":["https://openalex.org/W2006193035","https://openalex.org/W2050086418","https://openalex.org/W2081746121","https://openalex.org/W2011503663","https://openalex.org/W2025556139","https://openalex.org/W3214290171","https://openalex.org/W2072148581","https://openalex.org/W4205262062","https://openalex.org/W2096290915","https://openalex.org/W2408137423"],"abstract_inverted_index":{"An":[0],"efficient":[1],"solution":[2],"to":[3,46,91,118],"the":[4,11,16,30,34,48,60,64,76,79,93,120,123],"misleading":[5],"solutions":[6],"of":[7,13,24,32,37,50,52,75,95,122],"decision-making":[8],"problems":[9],"is":[10],"study":[12],"consistency":[14,31,36,51],"when":[15],"decision":[17],"makers":[18],"express":[19],"their":[20],"opinions":[21],"by":[22,58],"means":[23],"fuzzy":[25,55,84,98],"preference":[26,56,85,99],"relations.":[27],"To":[28],"elucidate":[29],"HFPRs,":[33],"S-ordinal":[35],"HFPRs":[38],"was":[39,43,87,110],"proposed,":[40],"and":[41,105],"S-OCI":[42],"also":[44,71],"proposed":[45,72],"evaluate":[47],"degree":[49],"a":[53,96],"hesitant":[54,97],"relation":[57,86],"calculating":[59],"unreasonable":[61],"3-cycles":[62,107],"in":[63,82,108],"directed":[65],"graph.":[66],"Two":[67],"novel":[68],"methods":[69],"were":[70,116],"for":[73,103],"calculation":[74],"S-OCI.":[77],"Moreover,":[78],"inconsistent":[80],"judgment":[81],"hesitation":[83],"developed.":[88,111],"In":[89],"order":[90],"repair":[92],"inconsistency":[94],"relation,":[100],"an":[101],"algorithm":[102],"finding":[104],"removing":[106],"digraph":[109],"Finally,":[112],"some":[113],"illustrative":[114],"examples":[115],"given":[117],"prove":[119],"effectiveness":[121],"method.":[124]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}