{"id":"https://openalex.org/W4388836794","doi":"https://doi.org/10.15388/23-infor539","title":"A Novel Entropy Measure with its Application to the COPRAS Method in Complex Spherical Fuzzy Environment","display_name":"A Novel Entropy Measure with its Application to the COPRAS Method in Complex Spherical Fuzzy Environment","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4388836794","doi":"https://doi.org/10.15388/23-infor539"},"language":"en","primary_location":{"id":"doi:10.15388/23-infor539","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15388/23-infor539","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1314/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1314/file/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064106870","display_name":"Ebru Aydo\u011fdu","orcid":"https://orcid.org/0000-0002-2777-8651"},"institutions":[{"id":"https://openalex.org/I157637111","display_name":"Naval Academy","ror":"https://ror.org/05syseh24","country_code":"TR","type":"education","lineage":["https://openalex.org/I157637111"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Ebru Aydo\u011fdu","raw_affiliation_strings":["Department of Basic Sciences, Naval Academy, Turkish National Defence University, Istanbul, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-2777-8651","affiliations":[{"raw_affiliation_string":"Department of Basic Sciences, Naval Academy, Turkish National Defence University, Istanbul, Turkey","institution_ids":["https://openalex.org/I157637111"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051535674","display_name":"Ba\u015fak Aldemir","orcid":"https://orcid.org/0000-0002-9073-9364"},"institutions":[{"id":"https://openalex.org/I52407163","display_name":"Afyon Kocatepe University","ror":"https://ror.org/03a1crh56","country_code":"TR","type":"education","lineage":["https://openalex.org/I52407163"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ba\u015fak Aldemir","raw_affiliation_strings":["Department of Mathematics, Afyon Kocatepe University, Ahmet Necdet Sezer Campus, 03200, Afyonkarahisar, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-9073-9364","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Afyon Kocatepe University, Ahmet Necdet Sezer Campus, 03200, Afyonkarahisar, Turkey","institution_ids":["https://openalex.org/I52407163"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078000360","display_name":"Elif G\u00fcner","orcid":"https://orcid.org/0000-0002-6969-400X"},"institutions":[{"id":"https://openalex.org/I51826884","display_name":"Kocaeli \u00dcniversitesi","ror":"https://ror.org/0411seq30","country_code":"TR","type":"education","lineage":["https://openalex.org/I51826884"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Elif G\u00fcner","raw_affiliation_strings":["Department of Mathematics, Kocaeli University, Umuttepe Campus, 41380, Kocaeli, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-6969-400X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kocaeli University, Umuttepe Campus, 41380, Kocaeli, Turkey","institution_ids":["https://openalex.org/I51826884"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045666874","display_name":"Halis Ayg\u00fcn","orcid":"https://orcid.org/0000-0003-3263-3884"},"institutions":[{"id":"https://openalex.org/I51826884","display_name":"Kocaeli \u00dcniversitesi","ror":"https://ror.org/0411seq30","country_code":"TR","type":"education","lineage":["https://openalex.org/I51826884"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Halis Ayg\u00fcn","raw_affiliation_strings":["Department of Mathematics, Kocaeli University, Umuttepe Campus, 41380, Kocaeli, Turkey"],"raw_orcid":"https://orcid.org/0000-0003-3263-3884","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kocaeli University, Umuttepe Campus, 41380, Kocaeli, Turkey","institution_ids":["https://openalex.org/I51826884"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064106870"],"corresponding_institution_ids":["https://openalex.org/I157637111"],"apc_list":null,"apc_paid":null,"fwci":1.2328,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.81934332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"679","last_page":"711"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":1.0,"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":1.0,"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/T10539","display_name":"Sustainable Supply Chain Management","score":0.9807999730110168,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9542999863624573,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6872026920318604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6232911348342896},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6139158010482788},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4896712601184845},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4789438843727112},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.44692888855934143},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3315342962741852},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32482266426086426},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2953948378562927}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6872026920318604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6232911348342896},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6139158010482788},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4896712601184845},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4789438843727112},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.44692888855934143},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3315342962741852},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32482266426086426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2953948378562927},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.15388/23-infor539","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15388/23-infor539","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1314/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},{"id":"pmh:a566af6d-3ed4-4f1b-b226-074813a2ecad","is_oa":false,"landing_page_url":"https://avesis.kocaeli.edu.tr/publication/details/a566af6d-3ed4-4f1b-b226-074813a2ecad/oai","pdf_url":null,"source":{"id":"https://openalex.org/S7407055291","display_name":"Kocaeli \u00dcniversitesi - AVES\u0130S","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.15388/23-infor539","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15388/23-infor539","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1314/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388836794.pdf"},"referenced_works_count":68,"referenced_works":["https://openalex.org/W38708963","https://openalex.org/W1607951265","https://openalex.org/W1969882757","https://openalex.org/W1980036384","https://openalex.org/W1996937753","https://openalex.org/W1997294134","https://openalex.org/W1998655762","https://openalex.org/W2013116496","https://openalex.org/W2020497842","https://openalex.org/W2033401964","https://openalex.org/W2040121225","https://openalex.org/W2040606075","https://openalex.org/W2056021265","https://openalex.org/W2056258586","https://openalex.org/W2066495914","https://openalex.org/W2084264306","https://openalex.org/W2085328697","https://openalex.org/W2097330971","https://openalex.org/W2097403045","https://openalex.org/W2118457689","https://openalex.org/W2138707903","https://openalex.org/W2156026517","https://openalex.org/W2593630850","https://openalex.org/W2598894278","https://openalex.org/W2804105936","https://openalex.org/W2891154333","https://openalex.org/W2913730323","https://openalex.org/W2920590068","https://openalex.org/W2944028409","https://openalex.org/W2945404912","https://openalex.org/W2951758213","https://openalex.org/W2967712935","https://openalex.org/W2983592036","https://openalex.org/W3003197108","https://openalex.org/W3015393762","https://openalex.org/W3026790205","https://openalex.org/W3027192844","https://openalex.org/W3032669611","https://openalex.org/W3033818703","https://openalex.org/W3041744942","https://openalex.org/W3043586643","https://openalex.org/W3044181590","https://openalex.org/W3074782679","https://openalex.org/W3092086320","https://openalex.org/W3117805619","https://openalex.org/W3120591640","https://openalex.org/W3121700030","https://openalex.org/W3121721862","https://openalex.org/W3134748233","https://openalex.org/W3137004022","https://openalex.org/W3155791648","https://openalex.org/W3160245528","https://openalex.org/W3161946607","https://openalex.org/W3166406215","https://openalex.org/W3174694819","https://openalex.org/W3193233974","https://openalex.org/W3204909909","https://openalex.org/W3207431456","https://openalex.org/W3217581169","https://openalex.org/W4200227418","https://openalex.org/W4205558848","https://openalex.org/W4210515063","https://openalex.org/W4211007335","https://openalex.org/W4213004278","https://openalex.org/W4214815021","https://openalex.org/W4220786204","https://openalex.org/W4221091356","https://openalex.org/W4311778108"],"related_works":["https://openalex.org/W4255837520","https://openalex.org/W2387011115","https://openalex.org/W4234808182","https://openalex.org/W4255628145","https://openalex.org/W2382043075","https://openalex.org/W2809151339","https://openalex.org/W2216913934","https://openalex.org/W2360673138","https://openalex.org/W2809370583","https://openalex.org/W2106711308"],"abstract_inverted_index":{"A":[0],"complex":[1,34,141],"spherical":[2,11,142],"fuzzy":[3,12,143],"set":[4,13,177],"(CSFS)":[5],"is":[6,50,154],"a":[7,66,100,112,148],"generalization":[8],"of":[9,25,44,47,58,83,90,161,189],"the":[10,17,23,33,37,41,45,55,81,84,88,91,107,116,135,140,159,162,180,185,190,194],"(SFS)":[14],"to":[15,64,78,114,157,183],"express":[16],"two-dimensional":[18,59],"ambiguous":[19],"information":[20],"in":[21,32,54,120,139,175,193],"which":[22,49,153],"range":[24],"positive,":[26],"neutral":[27],"and":[28,87,187],"negative":[29],"degrees":[30],"occurs":[31],"plane":[35],"with":[36,111,171],"unit":[38],"disk.":[39],"Considering":[40],"vital":[42],"importance":[43],"concept":[46],"CSFSs":[48],"gaining":[51],"massive":[52],"attention":[53],"research":[56],"area":[57],"uncertain":[60],"information,":[61],"we":[62,97,124,146,166],"aim":[63],"establish":[65],"novel":[67],"methodology":[68,75],"for":[69],"multi-criteria":[70],"group":[71],"decision-making":[72,195],"(MCGDM).":[73],"This":[74],"allows":[76],"us":[77],"calculate":[79],"both":[80],"weights":[82,89,119],"decision-makers":[85],"(DMs)":[86],"criteria":[92,118],"objectively.":[93],"For":[94],"this":[95,121],"goal,":[96],"first":[98],"introduce":[99],"new":[101],"entropy":[102,137,181],"measure":[103,138],"function":[104],"that":[105],"measures":[106],"fuzziness":[108],"degree":[109],"associated":[110],"CSFS":[113],"compute":[115],"unknown":[117],"methodology.":[122],"Then,":[123],"present":[125,167],"an":[126],"innovative":[127],"Complex":[128],"Proportional":[129],"Assessment":[130],"(COPRAS)":[131],"method":[132,192],"based":[133],"on":[134],"proposed":[136,191],"environment.":[144],"Besides,":[145],"solve":[147],"strategic":[149],"supplier":[150],"selection":[151],"problem":[152],"very":[155],"important":[156],"maximize":[158],"efficiency":[160],"trading":[163],"companies.":[164],"Finally,":[165],"some":[168,172],"comparative":[169],"analyses":[170],"existing":[173],"methods":[174],"different":[176],"theories,":[178],"including":[179],"measures,":[182],"show":[184],"feasibility":[186],"usefulness":[188],"process.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}