{"id":"https://openalex.org/W4415649967","doi":"https://doi.org/10.1007/s40747-025-02078-2","title":"Dombi aggregation operator in terms of complex bipolar fuzzy sets with application in decision making problems","display_name":"Dombi aggregation operator in terms of complex bipolar fuzzy sets with application in decision making problems","publication_year":2025,"publication_date":"2025-10-29","ids":{"openalex":"https://openalex.org/W4415649967","doi":"https://doi.org/10.1007/s40747-025-02078-2"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-025-02078-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-02078-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-02078-2.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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","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/s40747-025-02078-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026211730","display_name":"Naveed Yaqoob","orcid":"https://orcid.org/0000-0002-5362-9916"},"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"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Naveed Yaqoob","raw_affiliation_strings":["Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, Pakistan","institution_ids":["https://openalex.org/I195024194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030602859","display_name":"Muhammad Gulistan","orcid":"https://orcid.org/0000-0002-0314-876X"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Muhammad Gulistan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044189981","display_name":"M. Abbas","orcid":null},"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"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Mohsin Abbas","raw_affiliation_strings":["Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, Pakistan","institution_ids":["https://openalex.org/I195024194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011638844","display_name":"Khizar Hayat","orcid":"https://orcid.org/0000-0002-9684-937X"},"institutions":[{"id":"https://openalex.org/I178777954","display_name":"Kohat University of Science and Technology","ror":"https://ror.org/057d2v504","country_code":"PK","type":"education","lineage":["https://openalex.org/I178777954"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Khizar Hayat","raw_affiliation_strings":["Department of Mathematics, University of Kotli, AJ&K, Kotli, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kotli, AJ&K, Kotli, Pakistan","institution_ids":["https://openalex.org/I178777954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039746329","display_name":"Mohammed M. Ali Al-Shamiri","orcid":"https://orcid.org/0000-0001-6124-9043"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohammed M. Al-Shamiri","raw_affiliation_strings":["Department of Mathematics, The Applied College, King Khalid University, Muhyil Assir, 61913, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Applied College, King Khalid University, Muhyil Assir, 61913, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5026211730"],"corresponding_institution_ids":["https://openalex.org/I195024194"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":3.8737,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.94360155,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"11","issue":"12","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.8917999863624573,"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":0.8917999863624573,"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":0.018400000408291817,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.008700000122189522,"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/adaptability","display_name":"Adaptability","score":0.638700008392334},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6266000270843506},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.5835999846458435},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5770999789237976},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.48989999294281006},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.46380001306533813},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.42989999055862427},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.38089999556541443}],"concepts":[{"id":"https://openalex.org/C177606310","wikidata":"https://www.wikidata.org/wiki/Q5674297","display_name":"Adaptability","level":2,"score":0.638700008392334},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6266000270843506},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.5835999846458435},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5770999789237976},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.48989999294281006},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.46380001306533813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44760000705718994},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4438999891281128},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.42989999055862427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41999998688697815},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.38089999556541443},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.36169999837875366},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.36070001125335693},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.3422999978065491},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.33489999175071716},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.31859999895095825},{"id":"https://openalex.org/C21214244","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy transportation","level":5,"score":0.29330000281333923},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28540000319480896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2718000113964081},{"id":"https://openalex.org/C29470771","wikidata":"https://www.wikidata.org/wiki/Q4165150","display_name":"Neuro-fuzzy","level":4,"score":0.26980000734329224},{"id":"https://openalex.org/C9490382","wikidata":"https://www.wikidata.org/wiki/Q729113","display_name":"Weighted arithmetic mean","level":2,"score":0.25929999351501465},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2524000108242035},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.2502000033855438}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-025-02078-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-02078-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-02078-2.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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1b29f313059f4f59b99ce3fe34f805be","is_oa":true,"landing_page_url":"https://doaj.org/article/1b29f313059f4f59b99ce3fe34f805be","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 11, Iss 12, Pp 1-25 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-025-02078-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-02078-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-02078-2.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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415649967.pdf","grobid_xml":"https://content.openalex.org/works/W4415649967.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1668569279","https://openalex.org/W1980564456","https://openalex.org/W2003115337","https://openalex.org/W2097403045","https://openalex.org/W2172162388","https://openalex.org/W2591936123","https://openalex.org/W2664295321","https://openalex.org/W2780754879","https://openalex.org/W2896010100","https://openalex.org/W2896634720","https://openalex.org/W2952809827","https://openalex.org/W2953932150","https://openalex.org/W2971521599","https://openalex.org/W3087852440","https://openalex.org/W3088671682","https://openalex.org/W3153181956","https://openalex.org/W3159060543","https://openalex.org/W3184260395","https://openalex.org/W3200490520","https://openalex.org/W4211007335","https://openalex.org/W4292289058","https://openalex.org/W4307702386","https://openalex.org/W4401824329"],"related_works":[],"abstract_inverted_index":{"The":[0,173,189],"complex":[1,12,38,137,202],"bipolar":[2,8,39,74,82,90,100,138,203],"fuzzy":[3,9,13,40,76,84,92,102,139,204],"sets":[4,10],"fundamentally":[5],"expand":[6],"upon":[7],"and":[11,15,26,48,98,116,129,164,183],"set,":[14],"demonstrate":[16,142],"efficacy":[17],"in":[18,118],"dealing":[19],"with":[20,158],"two-dimensional":[21],"uncertainty,":[22],"specifically":[23],"where":[24],"amplitude":[25],"phase":[27],"information":[28],"are":[29],"both":[30],"relevant.":[31],"However,":[32],"existing":[33,186],"aggregation":[34,67,79,87,96,106,119,187],"operators":[35,68,109,134,179],"within":[36,135],"the":[37,126,136,143,146,153,159,165,177],"environment":[41],"generally":[42],"fail":[43],"to":[44,50,113],"provide":[45],"ample":[46],"flexibility":[47,182],"generalization":[49],"accommodate":[51],"broader":[52],"range":[53],"of":[54,132,145,155,161],"decision-making":[55,205],"scenarios.":[56],"To":[57,141],"overcome":[58],"this":[59,61,122],"deficiency,":[60],"research":[62],"puts":[63],"forward":[64],"four":[65],"novel":[66],"based":[69],"on":[70,169],"Dombi":[71,75,83,91,101],"operations:":[72],"Complex":[73,81,89,99],"weighted":[77,85,94,104],"arithmetic":[78,95],"operator,":[80,88,97],"geometric":[86,105],"ordered":[93,103],"operator.":[107],"These":[108],"incorporate":[110],"operational":[111],"parameters":[112],"enhance":[114],"adaptability":[115],"accuracy":[117],"processes.":[120],"In":[121],"research,":[123],"we":[124],"propose":[125],"mathematical":[127],"formulation":[128],"fundamental":[130],"properties":[131],"these":[133],"framework.":[140],"usefulness":[144],"proposed":[147],"method,":[148],"a":[149,156],"case":[150],"study":[151,191],"involving":[152],"selection":[154],"buffalo":[157],"objective":[160],"profit":[162],"maximization":[163],"best":[166],"possible":[167],"return":[168],"investment":[170],"is":[171],"presented.":[172],"outcomes":[174],"confirm":[175],"that":[176],"suggested":[178],"offer":[180],"enhanced":[181],"efficiency":[184],"over":[185],"methods.":[188],"comparative":[190],"additionally":[192],"demonstrates":[193],"their":[194],"distinct":[195],"advantages,":[196],"making":[197],"them":[198],"valuable":[199],"tools":[200],"for":[201],"applications.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-29T00:00:00"}