{"id":"https://openalex.org/W4386069990","doi":"https://doi.org/10.3233/jifs-231678","title":"Intuitionistic fuzzy normalized weighted geometric Bonferroni means with reducibility and boundedness and application in decision making1","display_name":"Intuitionistic fuzzy normalized weighted geometric Bonferroni means with reducibility and boundedness and application in decision making1","publication_year":2023,"publication_date":"2023-08-22","ids":{"openalex":"https://openalex.org/W4386069990","doi":"https://doi.org/10.3233/jifs-231678"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-231678","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-231678","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & 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/A5089923373","display_name":"Liu Wei-feng","orcid":"https://orcid.org/0000-0002-8127-9650"},"institutions":[{"id":"https://openalex.org/I192868223","display_name":"Zhengzhou University of Aeronautics","ror":"https://ror.org/01qjyzh50","country_code":"CN","type":"education","lineage":["https://openalex.org/I192868223"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weifeng Liu","raw_affiliation_strings":["School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, China","institution_ids":["https://openalex.org/I192868223"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047716874","display_name":"Juan Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I192868223","display_name":"Zhengzhou University of Aeronautics","ror":"https://ror.org/01qjyzh50","country_code":"CN","type":"education","lineage":["https://openalex.org/I192868223"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Chang","raw_affiliation_strings":["School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, China","institution_ids":["https://openalex.org/I192868223"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100937293","display_name":"He Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I192868223","display_name":"Zhengzhou University of Aeronautics","ror":"https://ror.org/01qjyzh50","country_code":"CN","type":"education","lineage":["https://openalex.org/I192868223"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xia He","raw_affiliation_strings":["School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, China","institution_ids":["https://openalex.org/I192868223"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089923373"],"corresponding_institution_ids":["https://openalex.org/I192868223"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13532009,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"5","first_page":"7587","last_page":"7601"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bonferroni-correction","display_name":"Bonferroni correction","score":0.9049806594848633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7894688844680786},{"id":"https://openalex.org/keywords/geometric-mean","display_name":"Geometric mean","score":0.674634575843811},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.46959105134010315},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3904656171798706},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3687635064125061},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33303576707839966},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23570027947425842},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2202862799167633}],"concepts":[{"id":"https://openalex.org/C127808970","wikidata":"https://www.wikidata.org/wiki/Q385989","display_name":"Bonferroni correction","level":2,"score":0.9049806594848633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7894688844680786},{"id":"https://openalex.org/C40222840","wikidata":"https://www.wikidata.org/wiki/Q185049","display_name":"Geometric mean","level":2,"score":0.674634575843811},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.46959105134010315},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3904656171798706},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3687635064125061},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33303576707839966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23570027947425842},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2202862799167633}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-231678","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-231678","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1668569279","https://openalex.org/W1967753042","https://openalex.org/W1969921454","https://openalex.org/W1970655481","https://openalex.org/W1970781361","https://openalex.org/W1971875039","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W2007538282","https://openalex.org/W2013908206","https://openalex.org/W2016698635","https://openalex.org/W2017977229","https://openalex.org/W2040765468","https://openalex.org/W2074605814","https://openalex.org/W2081037298","https://openalex.org/W2089953456","https://openalex.org/W2093497681","https://openalex.org/W2108682282","https://openalex.org/W2116231621","https://openalex.org/W2313272982","https://openalex.org/W2346793551","https://openalex.org/W2514754342","https://openalex.org/W2530680027","https://openalex.org/W2604920622","https://openalex.org/W2746600348","https://openalex.org/W2753444737","https://openalex.org/W4206487359","https://openalex.org/W4256434226","https://openalex.org/W6652548278","https://openalex.org/W6662854893","https://openalex.org/W6674286694","https://openalex.org/W6677317364","https://openalex.org/W6728217526"],"related_works":["https://openalex.org/W2390064908","https://openalex.org/W2917228042","https://openalex.org/W2564440352","https://openalex.org/W4253992846","https://openalex.org/W1965088310","https://openalex.org/W4386069990","https://openalex.org/W2398409195","https://openalex.org/W4321117802","https://openalex.org/W2782967104","https://openalex.org/W2346793551"],"abstract_inverted_index":{"Bonferroni":[0,36,45,100,112,121,166,177],"mean":[1,37,46,101,113,122,167,178],"(BM)":[2],"is":[3,17],"an":[4],"important":[5],"aggregation":[6,26,82,133],"operator":[7],"in":[8,53],"decision":[9,155,195],"making.":[10],"The":[11,32],"desirable":[12],"characteristic":[13],"of":[14,58,185,219],"the":[15,22,25,29,40,56,59,62,65,69,72,78,87,97,104,108,116,129,132,138,141,146,149,152,160,170,199,202,217,220],"BM":[16],"that":[18],"it":[19],"can":[20,125],"capture":[21,128],"interrelationship":[23,130],"between":[24,131],"arguments":[27],"or":[28],"individual":[30],"attributes.":[31],"optimized":[33,42],"weighted":[34,43,99,110,119,164,175],"geometric":[35,44,111,120,165,176],"(OWGBM)":[38],"and":[39,64,80,84,103,115,140,148,158,169,201,207],"generalized":[41,117,171],"(GOWGBM)":[47],"proposed":[48,221],"by":[49],"Jin":[50],"et":[51],"al":[52],"2016":[54],"are":[55,213],"extensions":[57],"BM.":[60],"However,":[61],"OWGBM":[63],"GOWGBM":[66],"have":[67,137],"neither":[68],"reducibility":[70,139],"nor":[71],"boundedness,":[73],"which":[74,124],"will":[75],"lead":[76],"to":[77,151,215],"illogical":[79],"unreasonable":[81],"results":[83],"might":[85],"make":[86],"wrong":[88],"decision.":[89],"To":[90],"overcome":[91],"these":[92,186],"existing":[93,211],"drawbacks,":[94],"based":[95,197],"on":[96,198],"normalized":[98,109,118,163,174],"(NWBM)":[102],"GOWGBM,":[105],"we":[106,144,181,189],"propose":[107],"(NWGBM)":[114],"(GNWGBM),":[123],"not":[126],"only":[127],"arguments,":[134],"but":[135],"also":[136],"boundedness.":[142],"Further,":[143],"extend":[145],"NWGBM":[147],"GNWGBM":[150],"intuitionistic":[153,161,172,193],"fuzzy":[154,162,173,194],"environment":[156],"respectively,":[157],"develop":[159],"(IFNWGBM)":[168],"(GIFNWGBM).":[179],"Subsequently,":[180],"prove":[182],"some":[183],"properties":[184],"operators.":[187],"Moreover,":[188],"present":[190],"a":[191],"new":[192],"method":[196],"IFNWGBM":[200],"GIFNWGBM.":[203],"Two":[204],"application":[205],"examples":[206],"comparisons":[208],"with":[209],"other":[210],"methods":[212],"used":[214],"verify":[216],"validity":[218],"method.":[222]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}