{"id":"https://openalex.org/W4289535660","doi":"https://doi.org/10.1109/access.2022.3195885","title":"Pythagorean Fuzzy Linguistic Power Generalized Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Group Decision-Making","display_name":"Pythagorean Fuzzy Linguistic Power Generalized Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Group Decision-Making","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4289535660","doi":"https://doi.org/10.1109/access.2022.3195885"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3195885","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3195885","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09847201.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09847201.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100713230","display_name":"Junhui Chen","orcid":"https://orcid.org/0000-0002-3507-3942"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]},{"id":"https://openalex.org/I7726996","display_name":"Henan University of Economic and Law","ror":"https://ror.org/000jtc944","country_code":"CN","type":"education","lineage":["https://openalex.org/I7726996"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junhui Chen","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing, China","School of E-commerce and Logistics Management, Henan University of Economics and Law, Zhengzhou, Henan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]},{"raw_affiliation_string":"School of E-commerce and Logistics Management, Henan University of Economics and Law, Zhengzhou, Henan, China","institution_ids":["https://openalex.org/I7726996"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008891083","display_name":"Runtong Zhang","orcid":"https://orcid.org/0000-0003-0246-5058"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Runtong Zhang","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-0246-5058","affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.1633,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51874461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":null,"first_page":"115033","last_page":"115050"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9983999729156494,"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":0.9983999729156494,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9351999759674072,"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":0.9143999814987183,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.8536981344223022},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.6631947159767151},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.521950900554657},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.49989843368530273},{"id":"https://openalex.org/keywords/generalized-mean","display_name":"Generalized mean","score":0.4737839698791504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47362440824508667},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4445044994354248},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43206292390823364},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.42219078540802},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.3485085070133209},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3419506847858429},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3367260694503784},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2162438929080963},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2042275071144104},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.14232218265533447},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.1203913688659668},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06609031558036804}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.8536981344223022},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.6631947159767151},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.521950900554657},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.49989843368530273},{"id":"https://openalex.org/C117355083","wikidata":"https://www.wikidata.org/wiki/Q855729","display_name":"Generalized mean","level":2,"score":0.4737839698791504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47362440824508667},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4445044994354248},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43206292390823364},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.42219078540802},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.3485085070133209},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3419506847858429},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3367260694503784},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2162438929080963},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2042275071144104},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.14232218265533447},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.1203913688659668},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06609031558036804},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2022.3195885","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3195885","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09847201.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:591deb34748c46b8b18ea54e4baea566","is_oa":true,"landing_page_url":"https://doaj.org/article/591deb34748c46b8b18ea54e4baea566","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 115033-115050 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3195885","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3195885","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09847201.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G145073829","display_name":null,"funder_award_id":"18ZDA086","funder_id":"https://openalex.org/F4320335869","funder_display_name":"National Social Science Fund of China"}],"funders":[{"id":"https://openalex.org/F4320335869","display_name":"National Social Science Fund of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4289535660.pdf","grobid_xml":"https://content.openalex.org/works/W4289535660.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1668569279","https://openalex.org/W2043902857","https://openalex.org/W2157687268","https://openalex.org/W2289047752","https://openalex.org/W2345848912","https://openalex.org/W2396040005","https://openalex.org/W2549733045","https://openalex.org/W2550247067","https://openalex.org/W2563192300","https://openalex.org/W2604920622","https://openalex.org/W2732135403","https://openalex.org/W2739534728","https://openalex.org/W2753034554","https://openalex.org/W2753862205","https://openalex.org/W2769278513","https://openalex.org/W2774486171","https://openalex.org/W2790677216","https://openalex.org/W2800724825","https://openalex.org/W2803288599","https://openalex.org/W2845407821","https://openalex.org/W2872158697","https://openalex.org/W2876035269","https://openalex.org/W2883368008","https://openalex.org/W2885218772","https://openalex.org/W2889230580","https://openalex.org/W2892532570","https://openalex.org/W2893477467","https://openalex.org/W2896624924","https://openalex.org/W2899511870","https://openalex.org/W2909916858","https://openalex.org/W2911760269","https://openalex.org/W2913509214","https://openalex.org/W2917041931","https://openalex.org/W2919513668","https://openalex.org/W2926218886","https://openalex.org/W2968632614","https://openalex.org/W2971521599","https://openalex.org/W2976401656","https://openalex.org/W2993468727","https://openalex.org/W2999119785","https://openalex.org/W3096734077","https://openalex.org/W3162764694","https://openalex.org/W4211088767","https://openalex.org/W4213152355","https://openalex.org/W4221056853","https://openalex.org/W4223654350","https://openalex.org/W4223890462","https://openalex.org/W4224303688","https://openalex.org/W4225156908","https://openalex.org/W4225429764","https://openalex.org/W6810042637","https://openalex.org/W6992918090"],"related_works":["https://openalex.org/W2995447873","https://openalex.org/W1802380781","https://openalex.org/W4210969441","https://openalex.org/W4313271080","https://openalex.org/W4378767041","https://openalex.org/W2050612014","https://openalex.org/W2624109864","https://openalex.org/W2906568202","https://openalex.org/W2884025808","https://openalex.org/W2233779637"],"abstract_inverted_index":{"As":[0],"an":[1],"extension":[2],"of":[3,33,61,64,87,92,125,136,169,201,214],"Pythagorean":[4,11,48],"fuzzy":[5,12,49],"sets":[6,14],"and":[7,23,67,144,152,166,182,212],"linguistic":[8,13,50,74],"term":[9],"sets,":[10],"(PFSs)":[15],"are":[16],"powerful":[17],"to":[18,37,174,187,197,208],"describe":[19],"decision-making":[20,44],"information":[21,181],"quantificational":[22],"qualitatively,":[24],"which":[25],"have":[26],"received":[27],"much":[28],"scholars&#x2019;":[29],"attention.":[30],"The":[31,77,105],"purpose":[32],"this":[34,54],"paper":[35],"is":[36,82],"propose":[38,68,145,183],"a":[39,184],"new":[40,69],"multiple":[41,118],"attribute":[42],"group":[43],"(MAGDM)":[45],"approach":[46],"with":[47,142,178],"(PFL)":[51],"information.":[52],"To":[53],"end,":[55],"we":[56,139,193],"firstly":[57],"analyze":[58],"the":[59,89,102,115,123,130,146,153,189,199,210,215],"drawbacks":[60],"existing":[62],"operations":[63],"PFL":[65,137,147,154,179],"numbers":[66],"operational":[70],"rules":[71],"based":[72],"on":[73,101],"scale":[75],"function.":[76],"power":[78,148,155],"average":[79],"(PA)":[80],"operator":[81],"famous":[83],"for":[84],"its":[85],"capacity":[86],"reducing":[88],"negative":[90],"influence":[91],"unreasonable":[93],"evaluation":[94],"values":[95],"provided":[96],"by":[97,128],"prejudiced":[98],"decision":[99,103,180],"makers":[100],"results.":[104],"generalized":[106,149,156],"Maclaurin":[107,150,158],"symmetric":[108,151,159],"mean":[109],"(GMSM)":[110],"can":[111],"not":[112],"only":[113],"capture":[114],"interrelationship":[116],"among":[117],"inputs":[119],"but":[120],"also":[121,162,206],"manipulate":[122],"effect":[124],"related":[126],"properties":[127,165],"adjusting":[129],"parameters.":[131],"When":[132],"considering":[133],"aggregation":[134],"operators":[135],"numbers,":[138],"combine":[140],"PA":[141],"GMSM":[143],"weighted":[157],"operators.":[160,171],"We":[161,172,205],"study":[163],"important":[164],"special":[167],"cases":[168],"these":[170],"continue":[173],"investigate":[175],"MAGDM":[176],"problems":[177],"novel":[185],"method":[186,217],"determine":[188],"optimal":[190],"alternative.":[191],"Finally,":[192],"conduct":[194],"numerical":[195],"examples":[196],"demonstrate":[198],"effectiveness":[200],"our":[202],"proposed":[203,216],"method.":[204],"attempt":[207],"illustrate":[209],"advantages":[211],"superiorities":[213],"via":[218],"comparative":[219],"analysis.":[220]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
