{"id":"https://openalex.org/W2891429382","doi":"https://doi.org/10.1109/tfuzz.2018.2868492","title":"Additive Consistency of Hesitant Fuzzy Linguistic Preference Relation With a New Expansion Principle for Hesitant Fuzzy Linguistic Term Sets","display_name":"Additive Consistency of Hesitant Fuzzy Linguistic Preference Relation With a New Expansion Principle for Hesitant Fuzzy Linguistic Term Sets","publication_year":2018,"publication_date":"2018-09-03","ids":{"openalex":"https://openalex.org/W2891429382","doi":"https://doi.org/10.1109/tfuzz.2018.2868492","mag":"2891429382"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2018.2868492","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2018.2868492","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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 Fuzzy Systems","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/A5066999125","display_name":"Peng Wu","orcid":"https://orcid.org/0000-0002-8296-6487"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Wu","raw_affiliation_strings":["Anhui University, Hefei, Anhui, CN","School of Mathematical Science, Anhui University, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-8296-6487","affiliations":[{"raw_affiliation_string":"Anhui University, Hefei, Anhui, CN","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Mathematical Science, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005456443","display_name":"Ligang Zhou","orcid":"https://orcid.org/0000-0002-8512-6125"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ligang Zhou","raw_affiliation_strings":["Anhui University, Hefei, Anhui, CN","School of Mathematical Science, Anhui University, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-8512-6125","affiliations":[{"raw_affiliation_string":"Anhui University, Hefei, Anhui, CN","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Mathematical Science, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004641057","display_name":"Huayou Chen","orcid":"https://orcid.org/0000-0002-7312-0367"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huayou Chen","raw_affiliation_strings":["Anhui University, Hefei, Anhui, CN"],"raw_orcid":"https://orcid.org/0000-0002-7312-0367","affiliations":[{"raw_affiliation_string":"Anhui University, Hefei, Anhui, CN","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101919286","display_name":"Zhifu Tao","orcid":"https://orcid.org/0000-0003-4039-9178"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhifu Tao","raw_affiliation_strings":["Anhui University, Hefei, Anhui, CN","School of Mathematical Science, Anhui University, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0003-4039-9178","affiliations":[{"raw_affiliation_string":"Anhui University, Hefei, Anhui, CN","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Mathematical Science, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":10.4029,"has_fulltext":false,"cited_by_count":86,"citation_normalized_percentile":{"value":0.98386231,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"27","issue":"4","first_page":"716","last_page":"730"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9605000019073486,"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/consistency","display_name":"Consistency (knowledge bases)","score":0.729899525642395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7119064331054688},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6836152672767639},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.6279287338256836},{"id":"https://openalex.org/keywords/preference-relation","display_name":"Preference relation","score":0.5418657660484314},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5232285857200623},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5128195881843567},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.49348318576812744},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.4856247007846832},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.47414299845695496},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.47116953134536743},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3345310688018799},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28161144256591797},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2252930998802185},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.21220028400421143},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1870044469833374},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.10273349285125732},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.07432401180267334}],"concepts":[{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.729899525642395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7119064331054688},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6836152672767639},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.6279287338256836},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.5418657660484314},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5232285857200623},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5128195881843567},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.49348318576812744},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.4856247007846832},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.47414299845695496},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.47116953134536743},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3345310688018799},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28161144256591797},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2252930998802185},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.21220028400421143},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1870044469833374},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.10273349285125732},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.07432401180267334},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2018.2868492","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2018.2868492","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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 Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1741244853","display_name":"\u57fa\u4e8eZ-\u6570\u4fe1\u606f\u7684\u591a\u5c5e\u6027\u7fa4\u51b3\u7b56\u65b9\u6cd5\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"71701001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2791717321","display_name":"\u57fa\u4e8e\u591a\u6a21\u6001\u4fe1\u606f\u96c6\u6210\u7684\u7ec4\u5408\u9884\u6d4b\u6a21\u578b\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"71501002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3669475936","display_name":null,"funder_award_id":"71301001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5265071414","display_name":null,"funder_award_id":"1508085QG149","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G7281736853","display_name":"\u57fa\u4e8e\u8d1d\u53f6\u65af\u5206\u6790\u7684\u533a\u95f4\u4e8c\u578b\u6a21\u7cca\u504f\u597d\u5173\u7cfb\u7fa4\u51b3\u7b56\u6a21\u578b\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"71771001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8628183500","display_name":"\u6a21\u7cca\u4fe1\u606f\u73af\u5883\u4e0b\u7684\u7ec4\u5408\u9884\u6d4b\u65b9\u6cd5\u7684\u6709\u6548\u6027\u7406\u8bba\u548c\u5e94\u7528\u7814\u7a76","funder_award_id":"71371011","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"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":76,"referenced_works":["https://openalex.org/W279140054","https://openalex.org/W999545449","https://openalex.org/W1470859783","https://openalex.org/W1503484887","https://openalex.org/W1508253378","https://openalex.org/W1731455596","https://openalex.org/W1967299182","https://openalex.org/W1969352744","https://openalex.org/W1973278173","https://openalex.org/W1978038284","https://openalex.org/W1978062397","https://openalex.org/W1980471025","https://openalex.org/W1984502995","https://openalex.org/W1986686276","https://openalex.org/W1990771923","https://openalex.org/W1993418540","https://openalex.org/W1996054841","https://openalex.org/W2001511807","https://openalex.org/W2001573881","https://openalex.org/W2012430137","https://openalex.org/W2013951629","https://openalex.org/W2014143770","https://openalex.org/W2014845900","https://openalex.org/W2031228760","https://openalex.org/W2056348485","https://openalex.org/W2057636328","https://openalex.org/W2060093109","https://openalex.org/W2062537294","https://openalex.org/W2063048377","https://openalex.org/W2063149790","https://openalex.org/W2065043952","https://openalex.org/W2065893491","https://openalex.org/W2071657601","https://openalex.org/W2087959922","https://openalex.org/W2089786637","https://openalex.org/W2091287769","https://openalex.org/W2096468420","https://openalex.org/W2113181660","https://openalex.org/W2117317223","https://openalex.org/W2117827905","https://openalex.org/W2118003794","https://openalex.org/W2143896541","https://openalex.org/W2144798659","https://openalex.org/W2152195021","https://openalex.org/W2156466300","https://openalex.org/W2167967165","https://openalex.org/W2173354439","https://openalex.org/W2198113157","https://openalex.org/W2206385896","https://openalex.org/W2414078667","https://openalex.org/W2477316254","https://openalex.org/W2504734778","https://openalex.org/W2540265541","https://openalex.org/W2552212875","https://openalex.org/W2564911344","https://openalex.org/W2574155231","https://openalex.org/W2581491322","https://openalex.org/W2588007168","https://openalex.org/W2604618955","https://openalex.org/W2611537358","https://openalex.org/W2619793045","https://openalex.org/W2745622724","https://openalex.org/W2751155636","https://openalex.org/W2756366436","https://openalex.org/W2765801959","https://openalex.org/W2766217982","https://openalex.org/W2768504226","https://openalex.org/W2773008388","https://openalex.org/W2773632529","https://openalex.org/W2783087774","https://openalex.org/W2796976296","https://openalex.org/W3144078608","https://openalex.org/W3150349584","https://openalex.org/W4211007335","https://openalex.org/W4239165868","https://openalex.org/W6745582779"],"related_works":["https://openalex.org/W4205262062","https://openalex.org/W2002629668","https://openalex.org/W2096290915","https://openalex.org/W2022533988","https://openalex.org/W2790208073","https://openalex.org/W2016410556","https://openalex.org/W1595663582","https://openalex.org/W3122913338","https://openalex.org/W3119129058","https://openalex.org/W2387196575"],"abstract_inverted_index":{"Hesitant":[0],"fuzzy":[1,46],"linguistic":[2,21,47,60],"preference":[3,9,24],"relation":[4],"(HFLPR)":[5],"is":[6,69,83,107],"a":[7,40,62,102],"new":[8,41],"structure":[10],"that":[11],"the":[12,34,73,76,87,91,95,123,139,163,166],"decision":[13,118],"makers":[14],"(DMs)":[15],"are":[16,127,144,159],"hesitant":[17,45],"about":[18],"several":[19],"possible":[20],"terms":[22],"of":[23,37,59,80,90,99,142,165],"information":[25],"for":[26,44],"pairwise":[27],"comparison":[28],"between":[29,125],"alternatives.":[30],"This":[31],"paper":[32],"examines":[33],"additive":[35,77,97,113,136],"consistency":[36,88,98],"HFLPR":[38,82,133],"with":[39,56,121,134],"expansion":[42,66],"principle":[43,68],"term":[48],"sets":[49],"(HFLTSs).":[50],"In":[51,116],"order":[52],"to":[53,72,85,109,146,161],"normalize":[54],"HFLTSs":[55],"different":[57],"numbers":[58],"terms,":[61],"least":[63],"common":[64],"multiple":[65],"(LCME)":[67],"proposed.":[70],"According":[71],"LCME":[74],"principle,":[75],"consistent":[78,114],"index":[79],"an":[81,100,111,154],"defined":[84,145],"measure":[86],"level":[89],"HFLPR.":[92,115],"For":[93],"improving":[94],"unacceptable":[96],"HFLPR,":[101],"pure":[103],"integer":[104],"programming":[105],"model":[106],"constructed":[108],"derive":[110,147],"acceptable":[112,135],"group":[117],"making":[119],"(GDM)":[120],"HFLPRs,":[122],"similarities":[124],"DMs":[126,143],"calculated":[128],"based":[129],"on":[130],"their":[131],"individual":[132],"consistency.":[137],"Subsequently,":[138],"confidence":[140],"degrees":[141],"DMs\u2019":[148],"weights,":[149],"and":[150],"some":[151],"examples":[152],"including":[153],"investment":[155],"project":[156],"management":[157],"problem":[158],"analyzed":[160],"verify":[162],"effectiveness":[164],"proposed":[167],"method.":[168]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}