{"id":"https://openalex.org/W4220738087","doi":"https://doi.org/10.3390/sym14030533","title":"Analysis and Applications of Bonferroni Mean Operators and TOPSIS Method in Complete Cubic Intuitionistic Complex Fuzzy Information Systems","display_name":"Analysis and Applications of Bonferroni Mean Operators and TOPSIS Method in Complete Cubic Intuitionistic Complex Fuzzy Information Systems","publication_year":2022,"publication_date":"2022-03-05","ids":{"openalex":"https://openalex.org/W4220738087","doi":"https://doi.org/10.3390/sym14030533"},"language":"en","primary_location":{"id":"doi:10.3390/sym14030533","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030533","pdf_url":"https://www.mdpi.com/2073-8994/14/3/533/pdf?version=1646893829","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/3/533/pdf?version=1646893829","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100646948","display_name":"Tahir Mahmood","orcid":"https://orcid.org/0000-0002-3871-3845"},"institutions":[{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Tahir Mahmood","raw_affiliation_strings":["Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I121243025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100740852","display_name":"Zeeshan Ali","orcid":"https://orcid.org/0000-0001-5878-714X"},"institutions":[{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Zeeshan Ali","raw_affiliation_strings":["Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I121243025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056146116","display_name":"Samruam Baupradist","orcid":"https://orcid.org/0000-0002-7554-4622"},"institutions":[{"id":"https://openalex.org/I158708052","display_name":"Chulalongkorn University","ror":"https://ror.org/028wp3y58","country_code":"TH","type":"education","lineage":["https://openalex.org/I158708052"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Samruam Baupradist","raw_affiliation_strings":["Department of Mathematics and Computer Science, Chulalongkorn University, Bangkok 10330, Thailand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Chulalongkorn University, Bangkok 10330, Thailand","institution_ids":["https://openalex.org/I158708052"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090102526","display_name":"Ronnason Chinram","orcid":"https://orcid.org/0000-0002-6113-3689"},"institutions":[{"id":"https://openalex.org/I131868736","display_name":"Prince of Songkla University","ror":"https://ror.org/0575ycz84","country_code":"TH","type":"education","lineage":["https://openalex.org/I131868736"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Ronnason Chinram","raw_affiliation_strings":["Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla 90110, Thailand"],"affiliations":[{"raw_affiliation_string":"Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla 90110, Thailand","institution_ids":["https://openalex.org/I131868736"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090102526","https://openalex.org/A5100646948"],"corresponding_institution_ids":["https://openalex.org/I121243025","https://openalex.org/I131868736"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.9819,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7659603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"14","issue":"3","first_page":"533","last_page":"533"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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":0.9997000098228455,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9465000033378601,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9343000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/topsis","display_name":"TOPSIS","score":0.7123709321022034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6441079378128052},{"id":"https://openalex.org/keywords/vagueness","display_name":"Vagueness","score":0.5647542476654053},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5494599938392639},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5380373597145081},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5169867277145386},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.46830785274505615},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.45405083894729614},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.4482561945915222},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37050673365592957},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23498648405075073},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22371423244476318},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.21794793009757996},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19366762042045593}],"concepts":[{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.7123709321022034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6441079378128052},{"id":"https://openalex.org/C2776825360","wikidata":"https://www.wikidata.org/wiki/Q1411921","display_name":"Vagueness","level":3,"score":0.5647542476654053},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5494599938392639},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5380373597145081},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5169867277145386},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.46830785274505615},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.45405083894729614},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.4482561945915222},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37050673365592957},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23498648405075073},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22371423244476318},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.21794793009757996},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19366762042045593},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14030533","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030533","pdf_url":"https://www.mdpi.com/2073-8994/14/3/533/pdf?version=1646893829","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a52e1999e6d64513b76d2dca537bd5b9","is_oa":true,"landing_page_url":"https://doaj.org/article/a52e1999e6d64513b76d2dca537bd5b9","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":"Symmetry, Vol 14, Iss 3, p 533 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/3/533/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14030533","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry; Volume 14; Issue 3; Pages: 533","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14030533","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14030533","pdf_url":"https://www.mdpi.com/2073-8994/14/3/533/pdf?version=1646893829","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8199999928474426,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4220738087.pdf","grobid_xml":"https://content.openalex.org/works/W4220738087.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W1971875039","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W1982618675","https://openalex.org/W1982907249","https://openalex.org/W1999693983","https://openalex.org/W2012575173","https://openalex.org/W2013908206","https://openalex.org/W2016698635","https://openalex.org/W2039791408","https://openalex.org/W2042102899","https://openalex.org/W2078728013","https://openalex.org/W2097403045","https://openalex.org/W2116321937","https://openalex.org/W2125906479","https://openalex.org/W2530680027","https://openalex.org/W2563128797","https://openalex.org/W2760273722","https://openalex.org/W2766931335","https://openalex.org/W2804105936","https://openalex.org/W2806570248","https://openalex.org/W2887926026","https://openalex.org/W2890236549","https://openalex.org/W2890943116","https://openalex.org/W2900159032","https://openalex.org/W2910295232","https://openalex.org/W2973775716","https://openalex.org/W3006673827","https://openalex.org/W3019564335","https://openalex.org/W3032760736","https://openalex.org/W3033446327","https://openalex.org/W3092086320","https://openalex.org/W3093484412","https://openalex.org/W3126911294","https://openalex.org/W3135084800","https://openalex.org/W3170115553","https://openalex.org/W3190875766","https://openalex.org/W3198831662","https://openalex.org/W3210442615","https://openalex.org/W4210413298","https://openalex.org/W4211007335","https://openalex.org/W4230733346","https://openalex.org/W4292333025","https://openalex.org/W6654021354","https://openalex.org/W6728217526","https://openalex.org/W6753438337","https://openalex.org/W6779202287"],"related_works":["https://openalex.org/W2496023037","https://openalex.org/W2350451705","https://openalex.org/W4213284915","https://openalex.org/W4212798463","https://openalex.org/W2974127468","https://openalex.org/W2366109760","https://openalex.org/W2340041618","https://openalex.org/W2950081262","https://openalex.org/W3094671937","https://openalex.org/W1524077593"],"abstract_inverted_index":{"This":[0,210],"article":[1],"manages":[2],"vagueness,":[3],"asymmetric":[4,220],"data,":[5],"and":[6,21,66,76,128,140,155,162,196,242],"risk":[7],"demonstrated":[8],"in":[9,41,118],"awkward":[10],"information.":[11],"The":[12,47],"ambiguity":[13],"is":[14,53,80,105,219],"handled":[15],"with":[16,164,234,252],"the":[17,30,33,42,56,88,100,109,119,126,133,204,207,227,231,240,245,253],"help":[18,254],"of":[19,32,44,50,59,122,130,135,174,185,206,230,244,255],"possibility":[20],"strategic":[22,34],"decision-making":[23,175,208],"theory.":[24],"A":[25],"MADM":[26,179],"(multi-attribute":[27],"decision-making)":[28],"tool,":[29,180],"sub-part":[31],"decision":[35],"theory,":[36],"plays":[37],"an":[38],"important":[39],"role":[40],"circumstances":[43],"fuzzy":[45,63],"data.":[46],"major":[48],"influence":[49],"this":[51],"analysis":[52,211,229],"to":[54,82,115,150,189,202,214,238,248,250],"initiate":[55],"mathematical":[57,120],"ideology":[58],"cubic":[60],"intuitionistic":[61],"complex":[62],"(CICF)":[64],"information":[65],"its":[67],"well-known":[68,153],"properties":[69,156],"such":[70,157,177],"as":[71,158,178],"algebraic":[72],"laws,":[73],"score":[74],"values,":[75],"accuracy":[77],"values.":[78],"It":[79],"also":[81],"determine":[83],"various":[84,165,235],"inequalities":[85],"for":[86,183],"finding":[87],"relation":[89],"between":[90],"any":[91],"two":[92],"CICF":[93,136,141],"numbers":[94],"(CICFNs).":[95],"Further,":[96,168],"we":[97,169,225],"know":[98],"that":[99],"Bonferroni":[101,137],"mean":[102,138],"(BM)":[103],"operator":[104],"more":[106],"generalized":[107],"than":[108],"simple":[110],"averaging/geometric":[111],"aggregation":[112,200],"operators":[113,145,201],"due":[114],"parameters":[116],"involved":[117],"form":[121],"BM":[123,131,143],"operators.":[124],"Keeping":[125],"supremacy":[127],"consistency":[129],"operators,":[132],"idea":[134],"(CICFBM)":[139],"weighted":[142],"(CICFWBM)":[144],"are":[146],"diagnosed.":[147],"We":[148],"try":[149,249],"describe":[151],"their":[152],"results":[154],"idempotency,":[159],"monotonicity,":[160],"commutativity,":[161],"boundedness":[163],"specific":[166],"cases.":[167],"investigate":[170],"three":[171],"different":[172],"sorts":[173],"procedures":[176],"TOPSIS":[181,197],"(Technique":[182],"order":[184],"preference":[186],"by":[187],"similarity":[188,194],"ideal":[190],"solution)":[191],"method":[192,198],"using":[193,199],"measures,":[195],"enhance":[203],"quality":[205],"process.":[209],"expressed":[212],"how":[213],"make":[215],"decisions":[216],"when":[217],"there":[218],"data":[221],"about":[222],"companies.":[223],"Finally,":[224],"compute":[226],"comparative":[228],"diagnostic":[232],"approaches":[233],"existing":[236],"theories":[237],"demonstrate":[239],"feasibility":[241],"flexibility":[243],"exposed":[246],"work":[247],"illustrate":[251],"geometrical":[256],"expressions.":[257]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-04-03T00:00:00"}
