{"id":"https://openalex.org/W4288949583","doi":"https://doi.org/10.29020/nybg.ejpam.v15i3.4391","title":"Data Envelopment Analysis on the Context of Spherical Fuzzy Inputs and Outputs","display_name":"Data Envelopment Analysis on the Context of Spherical Fuzzy Inputs and Outputs","publication_year":2022,"publication_date":"2022-07-31","ids":{"openalex":"https://openalex.org/W4288949583","doi":"https://doi.org/10.29020/nybg.ejpam.v15i3.4391"},"language":"en","primary_location":{"id":"doi:10.29020/nybg.ejpam.v15i3.4391","doi":"https://doi.org/10.29020/nybg.ejpam.v15i3.4391","is_oa":true,"landing_page_url":"https://doi.org/10.29020/nybg.ejpam.v15i3.4391","pdf_url":"https://ejpam.com/index.php/ejpam/article/download/4391/1259","source":{"id":"https://openalex.org/S2764475867","display_name":"European Journal of Pure and Applied Mathematics","issn_l":"1307-5543","issn":["1307-5543"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Pure and Applied Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ejpam.com/index.php/ejpam/article/download/4391/1259","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075024047","display_name":"Kshitish Kumar Mohanta","orcid":"https://orcid.org/0000-0003-2681-4785","observed_orcids":["https://orcid.org/0000-0003-2681-4785"]},"institutions":[{"id":"https://openalex.org/I296362101","display_name":"Indira Gandhi National Tribal University","ror":"https://ror.org/04yayy336","country_code":"IN","type":"education","lineage":["https://openalex.org/I296362101"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kshitish Kumar Mohanta","raw_affiliation_strings":["Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, 484 887, Madhya Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, 484 887, Madhya Pradesh, India","institution_ids":["https://openalex.org/I296362101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011754545","display_name":"Deena Sunil Sharanappa","orcid":"https://orcid.org/0000-0003-3210-9150","observed_orcids":["https://orcid.org/0000-0003-3210-9150"]},"institutions":[{"id":"https://openalex.org/I296362101","display_name":"Indira Gandhi National Tribal University","ror":"https://ror.org/04yayy336","country_code":"IN","type":"education","lineage":["https://openalex.org/I296362101"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Deena Sunil Sharanappa","raw_affiliation_strings":["Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, 484 887, Madhya Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, 484 887, Madhya Pradesh, India","institution_ids":["https://openalex.org/I296362101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011300250","display_name":"Devika Dabke","orcid":"https://orcid.org/0009-0007-1786-105X","observed_orcids":["https://orcid.org/0009-0007-1786-105X"]},"institutions":[{"id":"https://openalex.org/I106053113","display_name":"Central University of Karnataka","ror":"https://ror.org/02n5f2c60","country_code":"IN","type":"education","lineage":["https://openalex.org/I106053113"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Devika Dabke","raw_affiliation_strings":["Department of Mathematics, Central University of Karnataka, Kalaburgi, 585 367, Karnataka, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central University of Karnataka, Kalaburgi, 585 367, Karnataka, India","institution_ids":["https://openalex.org/I106053113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054777936","display_name":"Lakshmi Narayan Mishra","orcid":"https://orcid.org/0000-0001-7774-7290","observed_orcids":["https://orcid.org/0000-0001-7774-7290"]},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Lakshmi Narayan Mishra","raw_affiliation_strings":["Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632 014, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 632 014, Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009385455","display_name":"Vishnu Narayan Mishra","orcid":"https://orcid.org/0000-0002-2159-7710","observed_orcids":["https://orcid.org/0000-0002-2159-7710"]},"institutions":[{"id":"https://openalex.org/I296362101","display_name":"Indira Gandhi National Tribal University","ror":"https://ror.org/04yayy336","country_code":"IN","type":"education","lineage":["https://openalex.org/I296362101"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vishnu Narayan Mishra","raw_affiliation_strings":["Dr. Vishnu Narayan Mishra\nAssociate Professor of Mathematics, \nDepartment of Mathematics,\nIndira Gandhi National Tribal University,\nLalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India\nMb. No.: +91 9913387604,\nWebsite: http://igntu.ac.in/dept_Math.htm"],"raw_orcid":"https://orcid.org/0000-0002-2159-7710","affiliations":[{"raw_affiliation_string":"Dr. Vishnu Narayan Mishra\nAssociate Professor of Mathematics, \nDepartment of Mathematics,\nIndira Gandhi National Tribal University,\nLalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India\nMb. No.: +91 9913387604,\nWebsite: http://igntu.ac.in/dept_Math.htm","institution_ids":["https://openalex.org/I296362101"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.587,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.82828748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"15","issue":"3","first_page":"1158","last_page":"1179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10357","display_name":"Efficiency Analysis Using DEA","score":0.8945000171661377,"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/T10357","display_name":"Efficiency Analysis Using DEA","score":0.8945000171661377,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.08060000091791153,"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":0.011800000444054604,"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/spherical-fuzzy-sets","display_name":"spherical fuzzy sets","score":0.9399999976158142},{"id":"https://openalex.org/keywords/ccr-model","display_name":"CCR model","score":0.7300000190734863},{"id":"https://openalex.org/keywords/efficiency-evaluation","display_name":"efficiency measurement","score":0.6150000095367432},{"id":"https://openalex.org/keywords/decision-making-units","display_name":"decision making units","score":0.6660000085830688},{"id":"https://openalex.org/keywords/dmu-ranking","display_name":"DMU ranking","score":0.7490000128746033},{"id":"https://openalex.org/keywords/decision-making-under-uncertainty","display_name":"decision making under uncertainty","score":0.6259999871253967},{"id":"https://openalex.org/keywords/generalized-fuzzy-sets","display_name":"generalized fuzzy sets","score":0.5690000057220459}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7457415461540222},{"id":"https://openalex.org/C22088475","wikidata":"https://www.wikidata.org/wiki/Q647974","display_name":"Data envelopment analysis","level":2,"score":0.7377502918243408},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6550037860870361},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.652546763420105},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6375952959060669},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5206669569015503},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5200057625770569},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4982607364654541},{"id":"https://openalex.org/C2777366796","wikidata":"https://www.wikidata.org/wiki/Q6017758","display_name":"Indeterminacy (philosophy)","level":2,"score":0.49486035108566284},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.4939349293708801},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4339306354522705},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4336860775947571},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4257006049156189},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.41338974237442017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2160409390926361},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13505905866622925},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09157922863960266},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05497202277183533},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.29020/nybg.ejpam.v15i3.4391","doi":"https://doi.org/10.29020/nybg.ejpam.v15i3.4391","is_oa":true,"landing_page_url":"https://doi.org/10.29020/nybg.ejpam.v15i3.4391","pdf_url":"https://ejpam.com/index.php/ejpam/article/download/4391/1259","source":{"id":"https://openalex.org/S2764475867","display_name":"European Journal of Pure and Applied Mathematics","issn_l":"1307-5543","issn":["1307-5543"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Pure and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.29020/nybg.ejpam.v15i3.4391","doi":"https://doi.org/10.29020/nybg.ejpam.v15i3.4391","is_oa":true,"landing_page_url":"https://doi.org/10.29020/nybg.ejpam.v15i3.4391","pdf_url":"https://ejpam.com/index.php/ejpam/article/download/4391/1259","source":{"id":"https://openalex.org/S2764475867","display_name":"European Journal of Pure and Applied Mathematics","issn_l":"1307-5543","issn":["1307-5543"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Pure and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4288949583.pdf","grobid_xml":"https://content.openalex.org/works/W4288949583.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1556724924","https://openalex.org/W1707386856","https://openalex.org/W1971984261","https://openalex.org/W2002023758","https://openalex.org/W2076452041","https://openalex.org/W2079457935","https://openalex.org/W2129763896","https://openalex.org/W2162180338","https://openalex.org/W2183577831","https://openalex.org/W2605645738","https://openalex.org/W2788503416","https://openalex.org/W2788794865","https://openalex.org/W2808030721","https://openalex.org/W2891492643","https://openalex.org/W2901104715","https://openalex.org/W2903155975","https://openalex.org/W2903466805","https://openalex.org/W2946824468","https://openalex.org/W2954716654","https://openalex.org/W2958507658","https://openalex.org/W2964201283","https://openalex.org/W2979930276","https://openalex.org/W2985569209","https://openalex.org/W3003076587","https://openalex.org/W3011761106","https://openalex.org/W3015210758","https://openalex.org/W3016292419","https://openalex.org/W3037624494","https://openalex.org/W3041268971","https://openalex.org/W3092086320","https://openalex.org/W3092781914","https://openalex.org/W3161904041","https://openalex.org/W3167120815","https://openalex.org/W3209684102","https://openalex.org/W4231743109","https://openalex.org/W4252256056","https://openalex.org/W4289254296","https://openalex.org/W6908743821"],"related_works":["https://openalex.org/W4392406278","https://openalex.org/W2521650968","https://openalex.org/W4210646654","https://openalex.org/W2789700743","https://openalex.org/W45163773","https://openalex.org/W2191140983","https://openalex.org/W2114721467","https://openalex.org/W2171486789","https://openalex.org/W2110396877","https://openalex.org/W1501637821"],"abstract_inverted_index":{"In":[0],"this":[1,136],"study,":[2],"Data":[3],"Envelopment":[4],"Analysis":[5],"(DEA)":[6],"models":[7],"are":[8],"improved":[9],"by":[10],"employing":[11],"spherical":[12,66,92],"fuzzy":[13,22,33,68,93],"sets":[14],"(SFSs),":[15],"which":[16,71,103],"is":[17,60,86,118],"an":[18,133],"extension":[19],"of":[20,32,42,65,99,110],"generalized":[21],"sets.":[23],"SFSs":[24,48],"were":[25],"recently":[26],"introduced":[27],"as":[28],"a":[29,46,50,82,91],"novel":[30,137],"type":[31],"set":[34],"that":[35,124,130],"allows":[36],"decision-makers":[37],"to":[38],"express":[39],"their":[40],"level":[41],"uncertainty":[43],"directly.":[44],"As":[45],"result,":[47],"provide":[49],"more":[51],"preferred":[52],"domain":[53],"for":[54,120],"decision-makers.":[55],"Fundamental":[56],"Charnes-Cooper-Rhodes":[57],"(CCR)":[58],"model":[59,95],"discussed":[61],"on":[62],"the":[63,125,142],"context":[64],"trapezoidal":[67],"numbers":[69],"(STrFNs),":[70],"consider":[72],"each":[73,121],"data":[74],"value\u2019s":[75],"truth,":[76],"indeterminacy,":[77],"and":[78,81,139],"falsehood":[79],"degrees,":[80],"unique":[83],"solution":[84],"technique":[85],"implemented.":[87],"This":[88],"method":[89,138],"converts":[90],"DEA(SF-DEA)":[94],"into":[96],"three":[97],"pair":[98],"crisp":[100],"DEA":[101],"model,":[102],"may":[104],"then":[105],"be":[106],"solved":[107],"using":[108],"one":[109],"many":[111],"existing":[112],"approaches.":[113],"The":[114],"largest":[115],"optimal":[116],"interval":[117],"determined":[119],"DMU":[122],"such":[123],"efficiency":[126],"score":[127],"lies":[128],"inside":[129],"interval.":[131],"Furthermore,":[132],"example":[134],"demonstrates":[135],"clearly":[140],"explains":[141],"DMUs\u2019":[143],"ranking":[144],"technique.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-07-31T00:00:00"}