{"id":"https://openalex.org/W3044293441","doi":"https://doi.org/10.1109/access.2020.3010718","title":"Group Generalized Pythagorean Fuzzy Aggregation Operators and Their Application in Decision Making","display_name":"Group Generalized Pythagorean Fuzzy Aggregation Operators and Their Application in Decision Making","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3044293441","doi":"https://doi.org/10.1109/access.2020.3010718","mag":"3044293441"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3010718","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3010718","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09144527.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/ielx7/6287639/8948470/09144527.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101844112","display_name":"Jinfu Feng","orcid":"https://orcid.org/0000-0003-1265-9956"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinfu Feng","raw_affiliation_strings":["Aeronautics Engineering College, Air Force Engineering University, Xi\u2019an, China","Aeronautics Engineering College, Air Force Engineering University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0003-1265-9956","affiliations":[{"raw_affiliation_string":"Aeronautics Engineering College, Air Force Engineering University, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Aeronautics Engineering College, Air Force Engineering University, Xi'an, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100611058","display_name":"Qiang Zhang","orcid":"https://orcid.org/0000-0001-7408-1198"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Zhang","raw_affiliation_strings":["Aeronautics Engineering College, Air Force Engineering University, Xi\u2019an, China","Aeronautics Engineering College, Air Force Engineering University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-7408-1198","affiliations":[{"raw_affiliation_string":"Aeronautics Engineering College, Air Force Engineering University, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Aeronautics Engineering College, Air Force Engineering University, Xi'an, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101758407","display_name":"Junhua Hu","orcid":"https://orcid.org/0000-0001-6128-0358"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junhua Hu","raw_affiliation_strings":["Aeronautics Engineering College, Air Force Engineering University, Xi\u2019an, China","Aeronautics Engineering College, Air Force Engineering University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aeronautics Engineering College, Air Force Engineering University, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"Aeronautics Engineering College, Air Force Engineering University, Xi'an, China","institution_ids":["https://openalex.org/I4210104252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101844112"],"corresponding_institution_ids":["https://openalex.org/I4210104252"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.672,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85515544,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"138004","last_page":"138020"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.965399980545044,"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/T13955","display_name":"Evaluation Methods in Various Fields","score":0.9223999977111816,"subfield":{"id":"https://openalex.org/subfields/2302","display_name":"Ecological Modeling"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental 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":0.8642041683197021},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6479174494743347},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5963594317436218},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5656668543815613},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5450087785720825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5202775597572327},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5162382125854492},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.47199228405952454},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4617061913013458},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39896681904792786},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36652642488479614},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33816206455230713}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.8642041683197021},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6479174494743347},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5963594317436218},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5656668543815613},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5450087785720825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5202775597572327},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5162382125854492},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.47199228405952454},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4617061913013458},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39896681904792786},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36652642488479614},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33816206455230713},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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.2020.3010718","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3010718","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09144527.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:18472c9d19ae42fabd39f2b4970076e8","is_oa":true,"landing_page_url":"https://doaj.org/article/18472c9d19ae42fabd39f2b4970076e8","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":"IEEE Access, Vol 8, Pp 138004-138020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3010718","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3010718","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09144527.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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8199999928474426}],"awards":[{"id":"https://openalex.org/G6468869509","display_name":null,"funder_award_id":"51779263","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/W3044293441.pdf","grobid_xml":"https://content.openalex.org/works/W3044293441.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1668569279","https://openalex.org/W1829951598","https://openalex.org/W1980564456","https://openalex.org/W1981715766","https://openalex.org/W1993722929","https://openalex.org/W2013932252","https://openalex.org/W2089920338","https://openalex.org/W2104077967","https://openalex.org/W2130135344","https://openalex.org/W2157452305","https://openalex.org/W2184989861","https://openalex.org/W2292359941","https://openalex.org/W2311142332","https://openalex.org/W2345848912","https://openalex.org/W2528782067","https://openalex.org/W2550247067","https://openalex.org/W2587083986","https://openalex.org/W2589233777","https://openalex.org/W2759777718","https://openalex.org/W2769278513","https://openalex.org/W2790677216","https://openalex.org/W2790795792","https://openalex.org/W2899410322","https://openalex.org/W2899511870","https://openalex.org/W2905944349","https://openalex.org/W2907549042","https://openalex.org/W2909233495","https://openalex.org/W2912565176","https://openalex.org/W2942982769","https://openalex.org/W2946011719","https://openalex.org/W2955076315","https://openalex.org/W2969852833","https://openalex.org/W2974508190","https://openalex.org/W2988347501","https://openalex.org/W4211007335","https://openalex.org/W6728526998","https://openalex.org/W6755893977","https://openalex.org/W6770256389"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W2184441312","https://openalex.org/W2331106272","https://openalex.org/W2614887008","https://openalex.org/W1542808721","https://openalex.org/W2121560876","https://openalex.org/W1485268022","https://openalex.org/W2211233","https://openalex.org/W1975005191"],"abstract_inverted_index":{"Fuzzy":[0],"information":[1,22,29,38,54,120],"is":[2,88],"generally":[3],"represented":[4,30,55],"by":[5,31,44,56,106,190],"fuzzy":[6,10,21,28,46,53,61,71,98,119,129,138,147],"set":[7,11],"(FS).":[8],"Pythagorean":[9,45,128,137,146],"(PFS),":[12],"as":[13],"a":[14,64,110],"new":[15,125],"extension":[16],"of":[17,27,37,52,83,97,109,157,193],"FS,":[18],"can":[19,48,92,101],"represent":[20],"more":[23],"effectively.":[24],"The":[25,90,152],"accuracy":[26,51,96],"PFS":[32],"directly":[33],"affects":[34],"the":[35,50,70,74,81,95,103,107,118,122],"result":[36],"processing.":[39],"Generalized":[40],"parameter":[41],"(GP),":[42],"expressed":[43],"number,":[47],"judge":[49,69,94],"PFS.":[57],"However,":[58],"for":[59],"complex":[60],"application":[62],"problems,":[63,181],"single":[65],"GP":[66,75],"cannot":[67],"comprehensively":[68,93],"information,":[72,99],"and":[73,100,121,143,155,160,165,172,182,185,198],"may":[76],"also":[77],"be":[78],"wrong.":[79],"Therefore,":[80],"concept":[82],"group":[84,126,135,144],"generalized":[85,127,136,145],"parameters":[86],"(GGPs)":[87],"proposed.":[89],"GGPs":[91],"avoid":[102],"influence":[104],"caused":[105],"error":[108],"certain":[111],"GP.":[112],"In":[113,167],"order":[114],"to":[115,177],"effectively":[116],"aggregate":[117],"GGPs,":[123],"some":[124],"aggregation":[130],"operators":[131],"are":[132,163,175],"proposed,":[133],"including":[134],"weighted":[139,148],"average":[140],"(GGPFWA)":[141],"operator":[142,159,162,171,174],"geometric":[149],"(GGPFWG)":[150],"operator.":[151],"definitions,":[153],"theorems":[154],"properties":[156],"GGPFWA":[158,170],"GGPFWG":[161,173],"given":[164],"proved.":[166],"this":[168],"paper,":[169],"applied":[176],"solve":[178],"decision":[179,201],"making":[180],"their":[183],"effectiveness":[184],"feasibility":[186],"have":[187],"been":[188],"verified":[189],"three":[191],"cases":[192],"pattern":[194],"recognition,":[195],"medical":[196],"diagnosis":[197],"multiple":[199],"criteria":[200],"making.":[202]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}