{"id":"https://openalex.org/W4281768675","doi":"https://doi.org/10.3390/axioms11060258","title":"Analysis of Interval-Valued Intuitionistic Fuzzy Aczel\u2013Alsina Geometric Aggregation Operators and Their Application to Multiple Attribute Decision-Making","display_name":"Analysis of Interval-Valued Intuitionistic Fuzzy Aczel\u2013Alsina Geometric Aggregation Operators and Their Application to Multiple Attribute Decision-Making","publication_year":2022,"publication_date":"2022-05-29","ids":{"openalex":"https://openalex.org/W4281768675","doi":"https://doi.org/10.3390/axioms11060258"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11060258","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060258","pdf_url":"https://www.mdpi.com/2075-1680/11/6/258/pdf?version=1654161523","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/2075-1680/11/6/258/pdf?version=1654161523","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090740141","display_name":"Tapan Senapati","orcid":"https://orcid.org/0000-0003-0399-7486"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tapan Senapati","raw_affiliation_strings":["Department of Mathematics, Padima Janakalyan Banipith, Kukrakhupi 721517, India","School of Mathematics and Statistics, Southwest University, Beibei, Chongqing 400715, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Padima Janakalyan Banipith, Kukrakhupi 721517, India","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Beibei, Chongqing 400715, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058341815","display_name":"Radko Mesiar","orcid":"https://orcid.org/0000-0001-6503-949X"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]},{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]}],"countries":["CZ","SK"],"is_corresponding":false,"raw_author_name":"Radko Mesiar","raw_affiliation_strings":["Department Algebra & Geometry, Faculty of Science, Palacky University Olomouc, 17 Listopadu 12, 77146 Olomouc, Czech Republic","Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, Sk-810 05 Bratislava, Slovakia"],"affiliations":[{"raw_affiliation_string":"Department Algebra & Geometry, Faculty of Science, Palacky University Olomouc, 17 Listopadu 12, 77146 Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428"]},{"raw_affiliation_string":"Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, Sk-810 05 Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011658703","display_name":"Vladimir \u0160imi\u0107","orcid":"https://orcid.org/0000-0001-5709-3744"},"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":"Vladimir Simic","raw_affiliation_strings":["Department of Transport and Traffic Engineering, University of Belgrade, Vojvode Stepe 305, 11010 Belgrade, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Transport and Traffic Engineering, University of Belgrade, Vojvode Stepe 305, 11010 Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038069817","display_name":"Aiyared Iampan","orcid":"https://orcid.org/0000-0002-0475-3320"},"institutions":[{"id":"https://openalex.org/I4210090662","display_name":"University of Phayao","ror":"https://ror.org/00a5mh069","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210090662"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Aiyared Iampan","raw_affiliation_strings":["Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand","institution_ids":["https://openalex.org/I4210090662"]}]},{"author_position":"middle","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":false,"raw_author_name":"Ronnason Chinram","raw_affiliation_strings":["Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand"],"affiliations":[{"raw_affiliation_string":"Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand","institution_ids":["https://openalex.org/I131868736"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071875096","display_name":"Rifaqat Ali","orcid":"https://orcid.org/0000-0002-2605-1119"},"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":"Rifaqat Ali","raw_affiliation_strings":["Department of Mathematics, College of Science and Arts, Muhayil, King Khalid University, Abha 61413, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science and Arts, Muhayil, King Khalid University, Abha 61413, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5038069817"],"corresponding_institution_ids":["https://openalex.org/I4210090662"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":9.492,"has_fulltext":true,"cited_by_count":59,"citation_normalized_percentile":{"value":0.9854219,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"11","issue":"6","first_page":"258","last_page":"258"},"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"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9919000267982483,"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/T13058","display_name":"Soil and Land Suitability Analysis","score":0.9739999771118164,"subfield":{"id":"https://openalex.org/subfields/2308","display_name":"Management, Monitoring, Policy and Law"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6497633457183838},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5650458335876465},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4316447973251343},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40389835834503174},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36281996965408325}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6497633457183838},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5650458335876465},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4316447973251343},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40389835834503174},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36281996965408325},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11060258","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060258","pdf_url":"https://www.mdpi.com/2075-1680/11/6/258/pdf?version=1654161523","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:549d1f328fbe43d499c59f5373ea0262","is_oa":true,"landing_page_url":"https://doaj.org/article/549d1f328fbe43d499c59f5373ea0262","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":"Axioms, Vol 11, Iss 6, p 258 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/6/258/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11060258","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":"Axioms; Volume 11; Issue 6; Pages: 258","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11060258","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060258","pdf_url":"https://www.mdpi.com/2075-1680/11/6/258/pdf?version=1654161523","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8100000023841858}],"awards":[{"id":"https://openalex.org/G6660345090","display_name":null,"funder_award_id":"GRP/93/43","funder_id":"https://openalex.org/F4320324433","funder_display_name":"King Khalid University"},{"id":"https://openalex.org/G7580363861","display_name":null,"funder_award_id":"GRP/93/43","funder_id":"https://openalex.org/F4320323251","funder_display_name":"Agent\u00fara na Podporu V\u00fdskumu a V\u00fdvoja"},{"id":"https://openalex.org/G8666080777","display_name":null,"funder_award_id":"APVV-18-0052","funder_id":"https://openalex.org/F4320323251","funder_display_name":"Agent\u00fara na Podporu V\u00fdskumu a V\u00fdvoja"}],"funders":[{"id":"https://openalex.org/F4320323251","display_name":"Agent\u00fara na Podporu V\u00fdskumu a V\u00fdvoja","ror":"https://ror.org/037nx0e70"},{"id":"https://openalex.org/F4320324433","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281768675.pdf","grobid_xml":"https://content.openalex.org/works/W4281768675.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W1522218318","https://openalex.org/W1604034003","https://openalex.org/W1902228170","https://openalex.org/W1968172834","https://openalex.org/W1980564456","https://openalex.org/W1992193696","https://openalex.org/W1993810822","https://openalex.org/W2003194756","https://openalex.org/W2035664424","https://openalex.org/W2038050603","https://openalex.org/W2054416947","https://openalex.org/W2057286464","https://openalex.org/W2064974864","https://openalex.org/W2065708906","https://openalex.org/W2067253988","https://openalex.org/W2080986991","https://openalex.org/W2086463568","https://openalex.org/W2092580384","https://openalex.org/W2099024403","https://openalex.org/W2116321937","https://openalex.org/W2131429285","https://openalex.org/W2131886650","https://openalex.org/W2150934977","https://openalex.org/W2330435520","https://openalex.org/W2346953349","https://openalex.org/W2413485267","https://openalex.org/W2473829873","https://openalex.org/W2578456536","https://openalex.org/W2606031165","https://openalex.org/W2761539206","https://openalex.org/W2773087316","https://openalex.org/W2778027311","https://openalex.org/W2810138285","https://openalex.org/W2889468174","https://openalex.org/W2914782176","https://openalex.org/W2916684251","https://openalex.org/W2938360444","https://openalex.org/W2951141814","https://openalex.org/W2953509089","https://openalex.org/W2953978486","https://openalex.org/W2998278190","https://openalex.org/W3127887081","https://openalex.org/W3156884746","https://openalex.org/W3184260395","https://openalex.org/W3184335946","https://openalex.org/W3201566509","https://openalex.org/W3217511497","https://openalex.org/W4206537762","https://openalex.org/W4211007335","https://openalex.org/W4212955485","https://openalex.org/W4213430642","https://openalex.org/W4220696638","https://openalex.org/W4224062375","https://openalex.org/W4226463374","https://openalex.org/W4234672050","https://openalex.org/W4289816263","https://openalex.org/W4292078529","https://openalex.org/W4312874483"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"When":[0],"dealing":[1],"with":[2,157],"the":[3,27,37,41,56,79,96,102,110,126,141,145,153,160,166,169,180,185,193],"haziness":[4],"that":[5,123,130,182],"is":[6,43,65,137,162,179],"intrinsic":[7],"in":[8,52,148,196],"decision":[9,11,30,50],"analysis-driven":[10],"making":[12,31],"procedures,":[13],"interval-valued":[14,46],"intuitionistic":[15,47],"fuzzy":[16,48],"sets":[17],"(IVIFSs)":[18],"can":[19],"be":[20],"quite":[21],"effective.":[22],"Our":[23],"approach":[24,122],"to":[25,139],"solving":[26],"multiple":[28],"attribute":[29],"(MADM)":[32],"difficulties,":[33],"where":[34],"all":[35,54],"of":[36,55,144,164,168,176,184,192],"evidence":[38],"provided":[39],"by":[40,60,73],"decision-makers":[42],"demonstrated":[44],"as":[45,95],"(IVIF)":[49],"matrices,":[51],"which":[53],"components":[57],"are":[58,190],"distinguished":[59],"an":[61],"IVIF":[62,91,97,103,111,127,187],"number":[63],"(IVIFN),":[64],"based":[66],"on":[67,125],"Aczel\u2013Alsina":[68,80,98,104,112],"operational":[69],"processes.":[70],"We":[71,87,118],"begin":[72],"introducing":[74],"novel":[75],"IVIFN":[76],"operations":[77],"including":[78],"sum,":[81],"product,":[82],"scalar":[83],"multiplication,":[84],"and":[85,109],"exponential.":[86],"may":[88],"then":[89],"create":[90],"aggregation":[92,128,188],"operators,":[93],"such":[94],"weighted":[99,106],"geometric":[100,107,114],"operator,":[101,108,115],"ordered":[105],"hybrid":[113],"among":[116],"others.":[117],"present":[119],"a":[120],"MADM":[121],"relies":[124],"operators":[129,189,194],"have":[131],"been":[132],"developed.":[133],"A":[134,173],"case":[135],"study":[136],"used":[138],"demonstrate":[140],"practical":[142],"applicability":[143],"strategies":[146],"proposed":[147],"this":[149,177,197],"paper.":[150],"By":[151],"contrasting":[152],"newly":[154,170],"developed":[155,171],"technique":[156],"existing":[158],"techniques,":[159],"method":[161],"capable":[163],"demonstrating":[165],"advantages":[167],"approach.":[172],"key":[174],"result":[175],"work":[178],"discovery":[181],"some":[183],"current":[186],"subsets":[191],"reported":[195],"article.":[198]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":9}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2022-06-13T00:00:00"}