{"id":"https://openalex.org/W4407040049","doi":"https://doi.org/10.3390/axioms14020108","title":"Spherical Fuzzy Credibility Dombi Aggregation Operators and Their Application in Artificial Intelligence","display_name":"Spherical Fuzzy Credibility Dombi Aggregation Operators and Their Application in Artificial Intelligence","publication_year":2025,"publication_date":"2025-01-31","ids":{"openalex":"https://openalex.org/W4407040049","doi":"https://doi.org/10.3390/axioms14020108"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14020108","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14020108","pdf_url":"https://www.mdpi.com/2075-1680/14/2/108/pdf?version=1738304855","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/2/108/pdf?version=1738304855","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103248659","display_name":"Neelam Khan","orcid":"https://orcid.org/0000-0002-9219-6383"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Neelam Khan","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049847865","display_name":"Muhammad Qiyas","orcid":"https://orcid.org/0000-0002-5519-6130"},"institutions":[{"id":"https://openalex.org/I195024194","display_name":"Riphah International University","ror":"https://ror.org/02kdm5630","country_code":"PK","type":"education","lineage":["https://openalex.org/I195024194"]},{"id":"https://openalex.org/I4210147796","display_name":"University of Faisalabad","ror":"https://ror.org/04eps4h65","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210147796"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Qiyas","raw_affiliation_strings":["Department of Mathematics, Riphah International University Faisalabad Campus, Faisalabad 38000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Riphah International University Faisalabad Campus, Faisalabad 38000, Pakistan","institution_ids":["https://openalex.org/I4210147796","https://openalex.org/I195024194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040843928","display_name":"Darjan Karaba\u0161evi\u0107","orcid":"https://orcid.org/0000-0001-5308-2503"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]},{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]},{"id":"https://openalex.org/I4401200274","display_name":"Univerzitet Privredna akademija u Novom Sadu","ror":"https://ror.org/01vgyse67","country_code":null,"type":"education","lineage":["https://openalex.org/I4401200274"]},{"id":"https://openalex.org/I85461943","display_name":"Saveetha University","ror":"https://ror.org/0034me914","country_code":"IN","type":"education","lineage":["https://openalex.org/I85461943"]}],"countries":["IN","KR","RS"],"is_corresponding":true,"raw_author_name":"Darjan Karabasevic","raw_affiliation_strings":["College of Global Business, Korea University, Sejong 30019, Republic of Korea","Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India","Faculty of Applied Management, Economics, and Finance, University Business Academy in Novi Sad, Jevrejska 24, 11000 Belgrade, Serbia"],"raw_orcid":"https://orcid.org/0000-0001-5308-2503","affiliations":[{"raw_affiliation_string":"College of Global Business, Korea University, Sejong 30019, Republic of Korea","institution_ids":["https://openalex.org/I197347611"]},{"raw_affiliation_string":"Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India","institution_ids":["https://openalex.org/I85461943"]},{"raw_affiliation_string":"Faculty of Applied Management, Economics, and Finance, University Business Academy in Novi Sad, Jevrejska 24, 11000 Belgrade, Serbia","institution_ids":["https://openalex.org/I170726198","https://openalex.org/I4401200274"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059496118","display_name":"Muhammad Ramzan","orcid":"https://orcid.org/0000-0003-1770-8905"},"institutions":[{"id":"https://openalex.org/I195024194","display_name":"Riphah International University","ror":"https://ror.org/02kdm5630","country_code":"PK","type":"education","lineage":["https://openalex.org/I195024194"]},{"id":"https://openalex.org/I4210147796","display_name":"University of Faisalabad","ror":"https://ror.org/04eps4h65","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210147796"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Ramzan","raw_affiliation_strings":["Department of Mathematics, Riphah International University Faisalabad Campus, Faisalabad 38000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Riphah International University Faisalabad Campus, Faisalabad 38000, Pakistan","institution_ids":["https://openalex.org/I4210147796","https://openalex.org/I195024194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033406444","display_name":"Mubashir Ali","orcid":"https://orcid.org/0000-0003-2467-4045"},"institutions":[{"id":"https://openalex.org/I195024194","display_name":"Riphah International University","ror":"https://ror.org/02kdm5630","country_code":"PK","type":"education","lineage":["https://openalex.org/I195024194"]},{"id":"https://openalex.org/I4210147796","display_name":"University of Faisalabad","ror":"https://ror.org/04eps4h65","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210147796"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Mubashir Ali","raw_affiliation_strings":["Department of Mathematics, Riphah International University Faisalabad Campus, Faisalabad 38000, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Riphah International University Faisalabad Campus, Faisalabad 38000, Pakistan","institution_ids":["https://openalex.org/I4210147796","https://openalex.org/I195024194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116106581","display_name":"Igor Dugonjic","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Igor Dugonjic","raw_affiliation_strings":["Faculty of Information Technologies, Pan-European University \"APEIRON\", Vojvode Pere Krece 13, 78102 Banja Luka, Bosnia and Herzegovina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Information Technologies, Pan-European University \"APEIRON\", Vojvode Pere Krece 13, 78102 Banja Luka, Bosnia and Herzegovina","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037368033","display_name":"Dragi\u0161a Stanujki\u0107","orcid":"https://orcid.org/0000-0002-6846-3074"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Dragisa Stanujkic","raw_affiliation_strings":["Technical Faculty in Bor, University of Belgrade, Vojske Jugoslavije 12, 19210 Bor, Serbia"],"raw_orcid":"https://orcid.org/0000-0002-6846-3074","affiliations":[{"raw_affiliation_string":"Technical Faculty in Bor, University of Belgrade, Vojske Jugoslavije 12, 19210 Bor, Serbia","institution_ids":["https://openalex.org/I4068193"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5040843928"],"corresponding_institution_ids":["https://openalex.org/I170726198","https://openalex.org/I197347611","https://openalex.org/I4401200274","https://openalex.org/I85461943"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.4692,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.79263004,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"14","issue":"2","first_page":"108","last_page":"108"},"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":0.9868000149726868,"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/T11652","display_name":"Imbalanced Data Classification Techniques","score":0.9345999956130981,"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/credibility","display_name":"Credibility","score":0.9009692072868347},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6746797561645508},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5772212147712708},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5161429643630981},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4958721101284027},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43279531598091125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34234991669654846},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32648468017578125},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29071199893951416},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10032600164413452},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.07576024532318115}],"concepts":[{"id":"https://openalex.org/C2780224610","wikidata":"https://www.wikidata.org/wiki/Q1530061","display_name":"Credibility","level":2,"score":0.9009692072868347},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6746797561645508},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5772212147712708},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5161429643630981},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4958721101284027},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43279531598091125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34234991669654846},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32648468017578125},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29071199893951416},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10032600164413452},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.07576024532318115},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14020108","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14020108","pdf_url":"https://www.mdpi.com/2075-1680/14/2/108/pdf?version=1738304855","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:222c004f3cb24f419fa808c4b5404c2a","is_oa":true,"landing_page_url":"https://doaj.org/article/222c004f3cb24f419fa808c4b5404c2a","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":"Axioms, Vol 14, Iss 2, p 108 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14020108","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14020108","pdf_url":"https://www.mdpi.com/2075-1680/14/2/108/pdf?version=1738304855","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407040049.pdf","grobid_xml":"https://content.openalex.org/works/W4407040049.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W333500581","https://openalex.org/W1505735190","https://openalex.org/W1668569279","https://openalex.org/W1970633662","https://openalex.org/W2003115337","https://openalex.org/W2070802487","https://openalex.org/W2127952943","https://openalex.org/W2130263770","https://openalex.org/W2206020237","https://openalex.org/W2514754342","https://openalex.org/W2746747652","https://openalex.org/W2754699040","https://openalex.org/W2784238420","https://openalex.org/W2896634720","https://openalex.org/W2901104715","https://openalex.org/W2908444148","https://openalex.org/W2910258408","https://openalex.org/W2911008619","https://openalex.org/W2921005059","https://openalex.org/W2952314276","https://openalex.org/W2976297801","https://openalex.org/W2992655446","https://openalex.org/W3003379055","https://openalex.org/W3017356998","https://openalex.org/W3044181590","https://openalex.org/W3046536008","https://openalex.org/W3047310951","https://openalex.org/W3048700781","https://openalex.org/W3048846577","https://openalex.org/W3104048762","https://openalex.org/W3118522260","https://openalex.org/W3165865690","https://openalex.org/W3167023447","https://openalex.org/W3167372727","https://openalex.org/W3172018050","https://openalex.org/W4285038829","https://openalex.org/W4287313021","https://openalex.org/W4292295629","https://openalex.org/W4293439987","https://openalex.org/W4313571888","https://openalex.org/W4323654822","https://openalex.org/W4378365018","https://openalex.org/W4382655234","https://openalex.org/W4385671725","https://openalex.org/W4389339613","https://openalex.org/W4390429585","https://openalex.org/W4390500226","https://openalex.org/W4392143359","https://openalex.org/W6679207873","https://openalex.org/W6758093357","https://openalex.org/W6773248354","https://openalex.org/W6775995506","https://openalex.org/W6782164372","https://openalex.org/W6796192916","https://openalex.org/W6861456084"],"related_works":["https://openalex.org/W2388687352","https://openalex.org/W1990162851","https://openalex.org/W2370187191","https://openalex.org/W2369854048","https://openalex.org/W2374291020","https://openalex.org/W2355907197","https://openalex.org/W3171042291","https://openalex.org/W2390961115","https://openalex.org/W2096782225","https://openalex.org/W2102099143"],"abstract_inverted_index":{"It":[0],"was":[1],"recently":[2],"proposed":[3,92],"to":[4,10,98,145,167],"extend":[5],"the":[6,21,81,88,93,100,105,129,134,140,147,150,155,160],"spherical":[7,11,38,45,52,60,68,94],"fuzzy":[8,12,39,46,53,61,69,95],"set":[9],"credibility":[13,40,47,54,62,70,96],"sets":[14],"(SFCSs).":[15],"In":[16],"this":[17],"paper,":[18],"we":[19,132,163],"define":[20,27],"concept":[22],"of":[23,87,104,125,149,159,169],"SFCSs.":[24],"We":[25,78,91],"then":[26],"new":[28],"operational":[29,35],"laws":[30],"for":[31,143],"SFCSs":[32,144],"using":[33,139],"Dombi":[34,48,55,63,71],"laws.":[36],"Various":[37],"aggregation":[41],"operators":[42,142],"such":[43],"as":[44],"weighted":[49,57,64,73],"averaging":[50,58],"(SFCDWA),":[51],"ordered":[56,72],"(SFCDOWA),":[59],"geometric":[65,74],"(SFCDWG),":[66],"and":[67,84,112,157],"(SFCDOWG)":[75],"are":[76],"defined.":[77],"also":[79],"show":[80],"boundedness,":[82],"monotonicity,":[83],"idempotency":[85],"aspects":[86],"suggested":[89,141,161],"operators.":[90,152],"entropy":[97],"find":[99],"unknown":[101],"weight":[102],"information":[103],"attributes.":[106],"Symmetry":[107],"analysis":[108],"is":[109],"a":[110,123],"useful":[111],"important":[113],"tool":[114],"in":[115,122],"artificial":[116],"intelligence":[117],"that":[118],"may":[119],"be":[120],"used":[121],"variety":[124],"fields.":[126],"To":[127,153],"calculate":[128],"significant":[130],"factor,":[131],"determine":[133],"multi-attribute":[135],"decision-making":[136],"(MADM)":[137],"method":[138],"increase":[146],"value":[148],"assessed":[151],"demonstrate":[154],"effectiveness":[156],"superiority":[158],"approach,":[162],"compare":[164],"our":[165],"findings":[166],"those":[168],"many":[170],"other":[171],"approaches.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-24T13:16:06.693445","created_date":"2025-10-10T00:00:00"}