{"id":"https://openalex.org/W4409356122","doi":"https://doi.org/10.1007/s10462-025-11205-x","title":"Pythagorean linguistic information-based green supplier selection using quantum-based group decision-making methodology and the MULTIMOORA approach","display_name":"Pythagorean linguistic information-based green supplier selection using quantum-based group decision-making methodology and the MULTIMOORA approach","publication_year":2025,"publication_date":"2025-04-11","ids":{"openalex":"https://openalex.org/W4409356122","doi":"https://doi.org/10.1007/s10462-025-11205-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10462-025-11205-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-025-11205-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10462-025-11205-x.pdf","source":{"id":"https://openalex.org/S122814990","display_name":"Artificial Intelligence Review","issn_l":"0269-2821","issn":["0269-2821","1573-7462"],"is_oa":false,"is_in_doaj":false,"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":"Artificial Intelligence Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10462-025-11205-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016800697","display_name":"Prasenjit Mandal","orcid":"https://orcid.org/0000-0003-1973-3354"},"institutions":[{"id":"https://openalex.org/I4210102288","display_name":"Algebra Bernays University","ror":"https://ror.org/019m6wk21","country_code":"HR","type":"education","lineage":["https://openalex.org/I4210102288"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Prasenjit Mandal","raw_affiliation_strings":["Department of Technical Sciences, Algebra Bernays University, Gradiscanska 24, 10000, Zagreb, Croatia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Technical Sciences, Algebra Bernays University, Gradiscanska 24, 10000, Zagreb, Croatia","institution_ids":["https://openalex.org/I4210102288"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021603065","display_name":"Leo Mr\u0161i\u0107","orcid":"https://orcid.org/0000-0002-5093-3453"},"institutions":[{"id":"https://openalex.org/I4210088608","display_name":"Higher Education Centre Novo Mesto","ror":"https://ror.org/00ak23720","country_code":"SI","type":"education","lineage":["https://openalex.org/I4210088608"]},{"id":"https://openalex.org/I4210102288","display_name":"Algebra Bernays University","ror":"https://ror.org/019m6wk21","country_code":"HR","type":"education","lineage":["https://openalex.org/I4210102288"]}],"countries":["HR","SI"],"is_corresponding":false,"raw_author_name":"Leo Mrsic","raw_affiliation_strings":["Department of Technical Sciences, Algebra Bernays University, Gradiscanska 24, 10000, Zagreb, Croatia","Rudolfovo Science and Technology Centre, Novo Mesto, Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Technical Sciences, Algebra Bernays University, Gradiscanska 24, 10000, Zagreb, Croatia","institution_ids":["https://openalex.org/I4210102288"]},{"raw_affiliation_string":"Rudolfovo Science and Technology Centre, Novo Mesto, Slovenia","institution_ids":["https://openalex.org/I4210088608"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001193372","display_name":"Antonios Kalampakas","orcid":"https://orcid.org/0000-0001-8821-6102"},"institutions":[{"id":"https://openalex.org/I2803079837","display_name":"American University of the Middle East","ror":"https://ror.org/02gqgne03","country_code":"KW","type":"education","lineage":["https://openalex.org/I2803079837"]}],"countries":["KW"],"is_corresponding":false,"raw_author_name":"Antonios Kalampakas","raw_affiliation_strings":["College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait","institution_ids":["https://openalex.org/I2803079837"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073095019","display_name":"Tofigh Allahviranloo","orcid":"https://orcid.org/0000-0002-6673-3560"},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]},{"id":"https://openalex.org/I4210121333","display_name":"Istinye University","ror":"https://ror.org/03081nz23","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210121333"]}],"countries":["IR","TR"],"is_corresponding":false,"raw_author_name":"Tofigh Allahviranloo","raw_affiliation_strings":["Quantum Technologies Research Center (QTRC), Science and Research Branch, Islamic Azad University, Tehran, Iran","Research Centre of Performance and Productivity Analysis, Istinye University, Istanbul, T\u00fcrkiye"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Quantum Technologies Research Center (QTRC), Science and Research Branch, Islamic Azad University, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]},{"raw_affiliation_string":"Research Centre of Performance and Productivity Analysis, Istinye University, Istanbul, T\u00fcrkiye","institution_ids":["https://openalex.org/I4210121333"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088135807","display_name":"Sovan Samanta","orcid":"https://orcid.org/0000-0003-3200-8990"},"institutions":[{"id":"https://openalex.org/I4210102288","display_name":"Algebra Bernays University","ror":"https://ror.org/019m6wk21","country_code":"HR","type":"education","lineage":["https://openalex.org/I4210102288"]},{"id":"https://openalex.org/I4210121333","display_name":"Istinye University","ror":"https://ror.org/03081nz23","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210121333"]}],"countries":["HR","TR"],"is_corresponding":true,"raw_author_name":"Sovan Samanta","raw_affiliation_strings":["Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk, WB, 721636, India","Department of Technical Sciences, Algebra Bernays University, Gradiscanska 24, 10000, Zagreb, Croatia","Research Centre of Performance and Productivity Analysis, Istinye University, Istanbul, T\u00fcrkiye"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk, WB, 721636, India","institution_ids":[]},{"raw_affiliation_string":"Department of Technical Sciences, Algebra Bernays University, Gradiscanska 24, 10000, Zagreb, Croatia","institution_ids":["https://openalex.org/I4210102288"]},{"raw_affiliation_string":"Research Centre of Performance and Productivity Analysis, Istinye University, Istanbul, T\u00fcrkiye","institution_ids":["https://openalex.org/I4210121333"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5088135807"],"corresponding_institution_ids":["https://openalex.org/I4210102288","https://openalex.org/I4210121333"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":{"value":2490,"currency":"EUR","value_usd":3090},"fwci":23.7488,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.99585983,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"58","issue":"7","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":0.9979000091552734,"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":0.9979000091552734,"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/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.7900811433792114},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.7338994145393372},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6482804417610168},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.563396692276001},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5005314350128174},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4570198059082031},{"id":"https://openalex.org/keywords/management-science","display_name":"Management science","score":0.33734405040740967},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23114562034606934},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.18912455439567566},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.15153533220291138},{"id":"https://openalex.org/keywords/organic-chemistry","display_name":"Organic chemistry","score":0.10351702570915222},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10249385237693787}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.7900811433792114},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.7338994145393372},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6482804417610168},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.563396692276001},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5005314350128174},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4570198059082031},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.33734405040740967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23114562034606934},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.18912455439567566},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.15153533220291138},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.10351702570915222},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10249385237693787},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10462-025-11205-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-025-11205-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10462-025-11205-x.pdf","source":{"id":"https://openalex.org/S122814990","display_name":"Artificial Intelligence Review","issn_l":"0269-2821","issn":["0269-2821","1573-7462"],"is_oa":false,"is_in_doaj":false,"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":"Artificial Intelligence Review","raw_type":"journal-article"},{"id":"pmh:oai:dirros.openscience.si:IzpisGradiva.php?id=22715","is_oa":false,"landing_page_url":"https://dirros.openscience.si/IzpisGradiva.php?id=22715","pdf_url":null,"source":{"id":"https://openalex.org/S4377196363","display_name":"DiRROS repository (University of Maribor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I37696226","host_organization_name":"University of Maribor","host_organization_lineage":["https://openalex.org/I37696226"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ISSN: 1573-7462","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10462-025-11205-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-025-11205-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10462-025-11205-x.pdf","source":{"id":"https://openalex.org/S122814990","display_name":"Artificial Intelligence Review","issn_l":"0269-2821","issn":["0269-2821","1573-7462"],"is_oa":false,"is_in_doaj":false,"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":"Artificial Intelligence Review","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409356122.pdf","grobid_xml":"https://content.openalex.org/works/W4409356122.grobid-xml"},"referenced_works_count":77,"referenced_works":["https://openalex.org/W1987177581","https://openalex.org/W2002808981","https://openalex.org/W2014845900","https://openalex.org/W2027061002","https://openalex.org/W2042255315","https://openalex.org/W2047635856","https://openalex.org/W2049902209","https://openalex.org/W2065109455","https://openalex.org/W2160444496","https://openalex.org/W2279097834","https://openalex.org/W2280338761","https://openalex.org/W2327284859","https://openalex.org/W2463515353","https://openalex.org/W2604315272","https://openalex.org/W2607935989","https://openalex.org/W2749556445","https://openalex.org/W2755147305","https://openalex.org/W2761796652","https://openalex.org/W2768345353","https://openalex.org/W2781703123","https://openalex.org/W2783891841","https://openalex.org/W2793525053","https://openalex.org/W2806437363","https://openalex.org/W2810128558","https://openalex.org/W2884680957","https://openalex.org/W2885083604","https://openalex.org/W2887079029","https://openalex.org/W2887518336","https://openalex.org/W2904848912","https://openalex.org/W2910707782","https://openalex.org/W2942223277","https://openalex.org/W2942471816","https://openalex.org/W2952809827","https://openalex.org/W2963193329","https://openalex.org/W2964346312","https://openalex.org/W2964838709","https://openalex.org/W2965839923","https://openalex.org/W2965936714","https://openalex.org/W2968719032","https://openalex.org/W2977321575","https://openalex.org/W2981535510","https://openalex.org/W2993468727","https://openalex.org/W2994958028","https://openalex.org/W3004858390","https://openalex.org/W3006560359","https://openalex.org/W3009002672","https://openalex.org/W3011070974","https://openalex.org/W3012658984","https://openalex.org/W3021852347","https://openalex.org/W3037624695","https://openalex.org/W3087852440","https://openalex.org/W3100309453","https://openalex.org/W3147017232","https://openalex.org/W3154525851","https://openalex.org/W3157158629","https://openalex.org/W3165056503","https://openalex.org/W3173164422","https://openalex.org/W3176186939","https://openalex.org/W3203505658","https://openalex.org/W3203995798","https://openalex.org/W4205234755","https://openalex.org/W4206075111","https://openalex.org/W4253746549","https://openalex.org/W4283795459","https://openalex.org/W4302773705","https://openalex.org/W4306405915","https://openalex.org/W4307160574","https://openalex.org/W4307546480","https://openalex.org/W4310276123","https://openalex.org/W4311695564","https://openalex.org/W4321071964","https://openalex.org/W4376865311","https://openalex.org/W4385368960","https://openalex.org/W4389937714","https://openalex.org/W4402226029","https://openalex.org/W4404906475","https://openalex.org/W4405941728"],"related_works":["https://openalex.org/W2995447873","https://openalex.org/W1802380781","https://openalex.org/W4210969441","https://openalex.org/W4313271080","https://openalex.org/W4378767041","https://openalex.org/W2050612014","https://openalex.org/W2624109864","https://openalex.org/W2906568202","https://openalex.org/W2014786470","https://openalex.org/W2077860847"],"abstract_inverted_index":{"The":[0,61,106,130,152,182],"selection":[1],"of":[2,37,51,104,113,119,124,133,158,180],"environmentally":[3,197],"sustainable":[4,198],"suppliers":[5],"has":[6,45,67],"been":[7,68],"a":[8,20,88,185],"significant":[9],"challenge":[10],"in":[11,48,160],"management":[12],"decision-making":[13,17],"(DM).":[14],"Multicriteria":[15],"group":[16],"(MCGDM)":[18],"is":[19,29,108,135,169],"ranking":[21,59],"methodology":[22],"used":[23,69],"to":[24,70,99,109,188],"select":[25],"suppliers,":[26,199],"but":[27],"it":[28],"complex":[30],"and":[31,78,94,127,141,165,200,204],"influenced":[32],"by":[33,73],"the":[34,49,57,102,111,122,156,166,178,190],"different":[35,117],"opinions":[36,115],"decision-makers.":[38],"Once":[39],"again,":[40],"extensive":[41,85],"research":[42],"on":[43,146,195],"MCGDM":[44,72],"exposed":[46],"inadequacies":[47],"trustworthiness":[50],"experts\u2019":[52,75,114,125,150],"judgements,":[53],"which":[54],"profoundly":[55],"impact":[56],"ultimate":[58],"results.":[60],"Pythagorean":[62],"linguistic":[63],"number":[64],"(PLN)":[65],"concept":[66],"address":[71],"considering":[74],"confidence":[76],"levels":[77],"real-world":[79],"scenarios.":[80],"This":[81],"study":[82,183],"introduces":[83],"an":[84,174],"technique":[86],"using":[87,171],"quantum":[89],"scenario-based":[90],"Bayesian":[91],"network":[92],"(QSBN)":[93],"Deng":[95],"entropy-based":[96],"belief":[97,172],"entropy":[98,147],"account":[100],"for":[101,137,149,176],"interference":[103,167],"beliefs.":[105],"goal":[107],"replicate":[110],"subjectivity":[112],"during":[116],"stages":[118],"DM,":[120],"including":[121],"accumulation":[123],"weights":[126,140],"alternative":[128],"probabilities.":[129],"correlation":[131],"coefficient":[132],"PLNs":[134],"introduced":[136],"determining":[138],"criterion":[139],"employing":[142],"new":[143],"techniques":[144],"based":[145],"methods":[148],"weights.":[151],"MULTIMOORA":[153],"approach":[154],"consolidates":[155],"probability":[157,179],"alternatives":[159],"QSBN":[161],"among":[162],"all":[163],"experts,":[164],"value":[168],"computed":[170],"entropy,":[173],"index":[175],"quantifying":[177],"uncertainty.":[181],"provides":[184],"numerical":[186],"example":[187],"illustrate":[189],"proposed":[191],"methodology,":[192],"specifically":[193],"focusing":[194],"selecting":[196],"demonstrates":[201],"its":[202],"applicability":[203],"effectiveness.":[205]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":11}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
