{"id":"https://openalex.org/W2052573639","doi":"https://doi.org/10.1155/2013/420326","title":"A Direct Approach Based on C<sup>2</sup>-IULOWA Operator for Group Decision Making with Uncertain Additive Linguistic Preference Relations","display_name":"A Direct Approach Based on C<sup>2</sup>-IULOWA Operator for Group Decision Making with Uncertain Additive Linguistic Preference Relations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2052573639","doi":"https://doi.org/10.1155/2013/420326","mag":"2052573639"},"language":"en","primary_location":{"id":"doi:10.1155/2013/420326","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/420326","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/420326.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/420326.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081450744","display_name":"Ding-Hong Peng","orcid":"https://orcid.org/0000-0001-6031-4587"},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]},{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ding-Hong Peng","raw_affiliation_strings":["Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, China","School of Management, Harbin University of Science and Technology, Harbin 150040, China"],"affiliations":[{"raw_affiliation_string":"Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"School of Management, Harbin University of Science and Technology, Harbin 150040, China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004908995","display_name":"Zhi-Fang Gao","orcid":null},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Fang Gao","raw_affiliation_strings":["Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, China"],"affiliations":[{"raw_affiliation_string":"Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, China","institution_ids":["https://openalex.org/I10660446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071506979","display_name":"Changyuan Gao","orcid":"https://orcid.org/0000-0002-5352-0005"},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chang-Yuan Gao","raw_affiliation_strings":["School of Management, Harbin University of Science and Technology, Harbin 150040, China"],"affiliations":[{"raw_affiliation_string":"School of Management, Harbin University of Science and Technology, Harbin 150040, China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115595406","display_name":"Hua Wang","orcid":"https://orcid.org/0000-0002-7319-6249"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Wang","raw_affiliation_strings":["Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, China"],"affiliations":[{"raw_affiliation_string":"Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, China","institution_ids":["https://openalex.org/I10660446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081450744"],"corresponding_institution_ids":["https://openalex.org/I100188998","https://openalex.org/I10660446"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.4658,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89751669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"14"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9609000086784363,"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/T11223","display_name":"Maritime Ports and Logistics","score":0.9175999760627747,"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/preference","display_name":"Preference","score":0.8014165163040161},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.733881950378418},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6715604066848755},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.6683473587036133},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6579808592796326},{"id":"https://openalex.org/keywords/preference-relation","display_name":"Preference relation","score":0.6301174163818359},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5755814909934998},{"id":"https://openalex.org/keywords/reciprocity","display_name":"Reciprocity (cultural anthropology)","score":0.49127620458602905},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.46926042437553406},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.42178720235824585},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3659980297088623},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3230769634246826},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3187468647956848},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.26572713255882263},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22510108351707458},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.20899853110313416},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15849128365516663},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13351866602897644}],"concepts":[{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.8014165163040161},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.733881950378418},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6715604066848755},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.6683473587036133},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6579808592796326},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.6301174163818359},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5755814909934998},{"id":"https://openalex.org/C169903001","wikidata":"https://www.wikidata.org/wiki/Q3264987","display_name":"Reciprocity (cultural anthropology)","level":2,"score":0.49127620458602905},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.46926042437553406},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.42178720235824585},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3659980297088623},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3230769634246826},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3187468647956848},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.26572713255882263},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22510108351707458},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.20899853110313416},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15849128365516663},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13351866602897644},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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":3,"locations":[{"id":"doi:10.1155/2013/420326","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/420326","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/420326.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394808119","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394808119","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:1cd97c94104349cb9c9706cd1b56f440","is_oa":true,"landing_page_url":"https://doaj.org/article/1cd97c94104349cb9c9706cd1b56f440","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/420326","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/420326","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/420326.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7400000095367432}],"awards":[{"id":"https://openalex.org/G1792198909","display_name":null,"funder_award_id":"61364016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2587629603","display_name":null,"funder_award_id":"71272191","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4190278200","display_name":null,"funder_award_id":"KKSY201358032","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G51150163","display_name":null,"funder_award_id":"71072085","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G978722252","display_name":null,"funder_award_id":"YJSCX2011-003HLJ","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2052573639.pdf","grobid_xml":"https://content.openalex.org/works/W2052573639.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1971403896","https://openalex.org/W1976567794","https://openalex.org/W1979109952","https://openalex.org/W1984880160","https://openalex.org/W1985008083","https://openalex.org/W1992972196","https://openalex.org/W1993418540","https://openalex.org/W1993731375","https://openalex.org/W1999943538","https://openalex.org/W2000377780","https://openalex.org/W2005836461","https://openalex.org/W2006902036","https://openalex.org/W2007640321","https://openalex.org/W2014286416","https://openalex.org/W2033102490","https://openalex.org/W2034425874","https://openalex.org/W2034563113","https://openalex.org/W2038779958","https://openalex.org/W2059239932","https://openalex.org/W2070172718","https://openalex.org/W2079781595","https://openalex.org/W2079912001","https://openalex.org/W2087233252","https://openalex.org/W2089336319","https://openalex.org/W2105915632","https://openalex.org/W2107698705","https://openalex.org/W2115951219","https://openalex.org/W2129521002","https://openalex.org/W2134690501","https://openalex.org/W2137745865","https://openalex.org/W2145906330","https://openalex.org/W2147595926","https://openalex.org/W2152788100","https://openalex.org/W2157632305","https://openalex.org/W2167510151","https://openalex.org/W2171764073","https://openalex.org/W3081925372","https://openalex.org/W4239177862"],"related_works":["https://openalex.org/W2011503663","https://openalex.org/W2025556139","https://openalex.org/W3214290171","https://openalex.org/W2072148581","https://openalex.org/W4205262062","https://openalex.org/W2408137423","https://openalex.org/W1149585081","https://openalex.org/W2022533988","https://openalex.org/W1526146896","https://openalex.org/W2804133259"],"abstract_inverted_index":{"With":[0],"respect":[1],"to":[2,32,88,178],"group":[3],"decision":[4],"making":[5],"(GDM)":[6],"problem":[7],"with":[8,163],"uncertain":[9,22,42,66,79,91,124],"additive":[10,23,43,92],"linguistic":[11,24,44,67,80,93,125],"preference":[12,25,45,94,126,142],"relations":[13],"(UALPRs),":[14],"we":[15,28,62,157],"investigate":[16],"the":[17,21,34,38,59,74,98,102,113,116,122,130,138,152,170,180,185],"efficient":[18],"aggregation":[19],"of":[20,41,51,115,141,172,184],"information.":[26],"First,":[27],"introduce":[29],"two":[30,60],"measures":[31],"assess":[33],"consistency":[35,75,99],"level":[36,40,100,104],"and":[37,48,76,101,110,148,182],"consensus":[39,77,103],"information,":[46,95],"respectively,":[47],"study":[49],"some":[50],"their":[52],"desirable":[53],"properties.":[54],"Then,":[55],"based":[56],"on":[57,169],"both":[58],"measures,":[61],"propose":[63],"a":[64,159],"coinduced":[65,78],"ordered":[68,81],"weighted":[69,82],"averaging":[70,83],"(IULOWA)":[71],"operator,":[72,87,156],"called":[73],"(C":[84],"2":[85,132,154],"-IULOWA)":[86],"aggregate":[89],"individual":[90],"in":[96],"which":[97],"synergistically":[105],"serve":[106],"as":[107,145],"inducing":[108],"variables":[109],"then":[111],"guide":[112],"determination":[114],"associated":[117],"weights.":[118],"We":[119],"have":[120],"proved":[121],"collective":[123],"information":[127],"aggregated":[128],"by":[129],"C":[131,153],"-IULOWA":[133,155],"operator":[134],"that":[135],"can":[136],"maintain":[137],"fundamental":[139],"properties":[140],"relation,":[143],"such":[144],"indifference,":[146],"reciprocity,":[147],"transitivity.":[149],"By":[150],"using":[151],"develop":[158],"direct":[160],"GDM":[161],"approach":[162],"UALPRs.":[164],"Finally,":[165],"an":[166],"illustrative":[167],"example":[168],"selection":[171],"chief":[173],"quality":[174],"officer":[175],"is":[176],"used":[177],"demonstrate":[179],"effectiveness":[181],"rationalitly":[183],"developed":[186],"approach.":[187]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}