{"id":"https://openalex.org/W4386690855","doi":"https://doi.org/10.1007/s40747-023-01203-3","title":"Hesitant Fermatean fuzzy Bonferroni mean operators for multi-attribute decision-making","display_name":"Hesitant Fermatean fuzzy Bonferroni mean operators for multi-attribute decision-making","publication_year":2023,"publication_date":"2023-09-12","ids":{"openalex":"https://openalex.org/W4386690855","doi":"https://doi.org/10.1007/s40747-023-01203-3"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-023-01203-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-023-01203-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01203-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01203-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100354966","display_name":"Yibo Wang","orcid":"https://orcid.org/0000-0002-0870-6302"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yibo Wang","raw_affiliation_strings":["College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China","institution_ids":["https://openalex.org/I68986083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091461961","display_name":"Xiuqin Ma","orcid":"https://orcid.org/0000-0003-1569-460X"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]},{"id":"https://openalex.org/I82724352","display_name":"Universiti Teknologi MARA","ror":"https://ror.org/05n8tts92","country_code":"MY","type":"education","lineage":["https://openalex.org/I82724352"]}],"countries":["CN","MY"],"is_corresponding":false,"raw_author_name":"Xiuqin Ma","raw_affiliation_strings":["College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China","Institute for Big Data Analytics and Artificial Intelligence (IBDAAI), Universiti Teknologi MARA, 40450, Shah Alam, Selangor, Malaysia"],"raw_orcid":"https://orcid.org/0000-0003-1569-460X","affiliations":[{"raw_affiliation_string":"College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"Institute for Big Data Analytics and Artificial Intelligence (IBDAAI), Universiti Teknologi MARA, 40450, Shah Alam, Selangor, Malaysia","institution_ids":["https://openalex.org/I82724352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047002005","display_name":"Hongwu Qin","orcid":"https://orcid.org/0000-0001-5330-5711"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]},{"id":"https://openalex.org/I82724352","display_name":"Universiti Teknologi MARA","ror":"https://ror.org/05n8tts92","country_code":"MY","type":"education","lineage":["https://openalex.org/I82724352"]}],"countries":["CN","MY"],"is_corresponding":false,"raw_author_name":"Hongwu Qin","raw_affiliation_strings":["College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China","Institute for Big Data Analytics and Artificial Intelligence (IBDAAI), Universiti Teknologi MARA, 40450, Shah Alam, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"Institute for Big Data Analytics and Artificial Intelligence (IBDAAI), Universiti Teknologi MARA, 40450, Shah Alam, Selangor, Malaysia","institution_ids":["https://openalex.org/I82724352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101243853","display_name":"Huanling Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huanling Sun","raw_affiliation_strings":["College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China","institution_ids":["https://openalex.org/I68986083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090807324","display_name":"Weiyi Wei","orcid":"https://orcid.org/0000-0002-9286-5911"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiyi Wei","raw_affiliation_strings":["College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China","institution_ids":["https://openalex.org/I68986083"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100354966"],"corresponding_institution_ids":["https://openalex.org/I68986083"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":3.9449,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.93883679,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"10","issue":"1","first_page":"1425","last_page":"1457"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9760000109672546,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9101999998092651,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/operator","display_name":"Operator (biology)","score":0.7045420408248901},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6959484219551086},{"id":"https://openalex.org/keywords/bonferroni-correction","display_name":"Bonferroni correction","score":0.6458865404129028},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.636819064617157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5152835845947266},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5094080567359924},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.44850483536720276},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.43993085622787476},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3621208965778351},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3586961030960083},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34236666560173035},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23804473876953125},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.11545759439468384},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.08959841728210449}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7045420408248901},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6959484219551086},{"id":"https://openalex.org/C127808970","wikidata":"https://www.wikidata.org/wiki/Q385989","display_name":"Bonferroni correction","level":2,"score":0.6458865404129028},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.636819064617157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5152835845947266},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5094080567359924},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.44850483536720276},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.43993085622787476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3621208965778351},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3586961030960083},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34236666560173035},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23804473876953125},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.11545759439468384},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.08959841728210449},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-023-01203-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-023-01203-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01203-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:72c014208cb64c4798ba3f5e7efda943","is_oa":true,"landing_page_url":"https://doaj.org/article/72c014208cb64c4798ba3f5e7efda943","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 10, Iss 1, Pp 1425-1457 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-023-01203-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-023-01203-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01203-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1897268161","display_name":null,"funder_award_id":"21JR7RA115","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"},{"id":"https://openalex.org/G7858077375","display_name":null,"funder_award_id":"62162055","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/F4320322880","display_name":"Natural Science Foundation of Gansu Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4386690855.pdf"},"referenced_works_count":64,"referenced_works":["https://openalex.org/W83025471","https://openalex.org/W136483523","https://openalex.org/W567518060","https://openalex.org/W967023765","https://openalex.org/W1912942246","https://openalex.org/W1915503570","https://openalex.org/W1970781361","https://openalex.org/W1971888400","https://openalex.org/W1980564456","https://openalex.org/W1988242538","https://openalex.org/W2008103229","https://openalex.org/W2013908206","https://openalex.org/W2013932252","https://openalex.org/W2033530831","https://openalex.org/W2040832520","https://openalex.org/W2050262998","https://openalex.org/W2067259779","https://openalex.org/W2068843436","https://openalex.org/W2074605814","https://openalex.org/W2076556084","https://openalex.org/W2079457935","https://openalex.org/W2083294735","https://openalex.org/W2084643922","https://openalex.org/W2086305137","https://openalex.org/W2090201148","https://openalex.org/W2093497681","https://openalex.org/W2097235661","https://openalex.org/W2116365436","https://openalex.org/W2124295269","https://openalex.org/W2132322340","https://openalex.org/W2136176363","https://openalex.org/W2167967165","https://openalex.org/W2184997100","https://openalex.org/W2331848523","https://openalex.org/W2722833530","https://openalex.org/W2761016817","https://openalex.org/W2900619190","https://openalex.org/W2900873406","https://openalex.org/W2913743389","https://openalex.org/W2921816574","https://openalex.org/W2953509089","https://openalex.org/W2962911598","https://openalex.org/W2979825474","https://openalex.org/W2984597282","https://openalex.org/W3009211512","https://openalex.org/W3037721959","https://openalex.org/W3099698108","https://openalex.org/W3108313861","https://openalex.org/W3108687430","https://openalex.org/W3152952490","https://openalex.org/W3175132073","https://openalex.org/W3194487201","https://openalex.org/W3216792312","https://openalex.org/W4206634062","https://openalex.org/W4210915956","https://openalex.org/W4211007335","https://openalex.org/W4221064903","https://openalex.org/W4221129481","https://openalex.org/W4230525611","https://openalex.org/W4234672050","https://openalex.org/W4247665917","https://openalex.org/W4282978963","https://openalex.org/W4283072157","https://openalex.org/W4308529536"],"related_works":["https://openalex.org/W2913201744","https://openalex.org/W2151097448","https://openalex.org/W2796809906","https://openalex.org/W2348660983","https://openalex.org/W2286890209","https://openalex.org/W2913148204","https://openalex.org/W1976254693","https://openalex.org/W2384801745","https://openalex.org/W2369673506","https://openalex.org/W2040240542"],"abstract_inverted_index":{"Abstract":[0],"Hesitant":[1],"Fermatean":[2,47,71,90,100,185],"fuzzy":[3,18,27,48,72,91,101,186],"sets":[4],"(HFFS)":[5],"can":[6],"characterize":[7],"the":[8,42,45,55,63,69,88,98,111,114,135,140,157,171,183],"membership":[9],"degree":[10,14],"(MD)":[11],"and":[12,65,97,121,161,169],"non-membership":[13],"(NMD)":[15],"of":[16,44,58,68,113,142,166],"hesitant":[17,46,70,89,99,184],"elements":[19],"in":[20,60,182],"a":[21,124,143,164],"broader":[22],"range,":[23],"which":[24],"offers":[25],"superior":[26],"data":[28],"processing":[29],"capabilities":[30],"for":[31,147,179],"addressing":[32],"complex":[33],"uncertainty":[34],"issues.":[35],"In":[36,80],"this":[37],"research,":[38],"first,":[39],"we":[40,133],"present":[41],"definition":[43,64],"Bonferroni":[49,74,93,104],"mean":[50,75,94,105],"operator":[51,76,96,106],"(HFFBM).":[52],"Further,":[53],"with":[54],"basic":[56],"operations":[57],"HFFS":[59],"Einstein":[61,73,102],"t-norms,":[62],"derivation":[66],"process":[67],"(HFFEBM)":[77],"are":[78,108,116],"given.":[79],"addition,":[81],"considering":[82],"how":[83],"weights":[84],"affect":[85],"decision-making":[86,127,137,180],"outcomes,":[87],"weighted":[92,103],"(HFFWBM)":[95],"(HFFEWBM)":[107],"developed.":[109],"Then,":[110],"properties":[112],"operators":[115],"discussed.":[117],"Based":[118],"on":[119],"HFFWBM":[120],"HFFEWBM":[122],"operator,":[123],"new":[125],"multi-attribute":[126],"(MADM)":[128],"approach":[129,138],"is":[130,175],"provided.":[131],"Finally,":[132],"apply":[134],"proposed":[136,158,172],"to":[139],"case":[141],"depression":[144],"diagnostic":[145],"evaluation":[146],"three":[148,152],"depressed":[149],"patients.":[150],"The":[151],"patients'":[153],"diagnosis":[154],"results":[155],"confirmed":[156],"method's":[159],"validity":[160],"rationality.":[162],"Through":[163],"series":[165],"comparative":[167],"experiments":[168],"analyses,":[170],"MADM":[173],"method":[174],"an":[176],"efficient":[177],"solution":[178],"issues":[181],"environment.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}