{"id":"https://openalex.org/W2962703930","doi":"https://doi.org/10.1051/ro/2019071","title":"Performance evaluation of portfolios with fuzzy returns","display_name":"Performance evaluation of portfolios with fuzzy returns","publication_year":2019,"publication_date":"2019-07-23","ids":{"openalex":"https://openalex.org/W2962703930","doi":"https://doi.org/10.1051/ro/2019071","mag":"2962703930"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2019071","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2019071","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041226312","display_name":"Zhongbao Zhou","orcid":"https://orcid.org/0000-0002-0029-5158"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongbao Zhou","raw_affiliation_strings":["School of Business Administration, Hunan University, 410082 Changsha, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business Administration, Hunan University, 410082 Changsha, PR China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018702868","display_name":"Enming Chen","orcid":"https://orcid.org/0000-0001-9816-385X"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Enming Chen","raw_affiliation_strings":["School of Business Administration, Hunan University, 410082 Changsha, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business Administration, Hunan University, 410082 Changsha, PR China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040264117","display_name":"Helu Xiao","orcid":"https://orcid.org/0000-0002-6485-924X"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Helu Xiao","raw_affiliation_strings":["School of Business, Hunan Normal University, 410081 Changsha, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business, Hunan Normal University, 410081 Changsha, PR China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083078981","display_name":"Tiantian Ren","orcid":"https://orcid.org/0000-0001-8964-0503"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tiantian Ren","raw_affiliation_strings":["School of Business Administration, Hunan University, 410082 Changsha, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business Administration, Hunan University, 410082 Changsha, PR China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063738904","display_name":"Qianying Jin","orcid":"https://orcid.org/0000-0002-8186-0656"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianying Jin","raw_affiliation_strings":["School of Business Administration, Hunan University, 410082 Changsha, PR China"],"raw_orcid":"https://orcid.org/0000-0002-8186-0656","affiliations":[{"raw_affiliation_string":"School of Business Administration, Hunan University, 410082 Changsha, PR China","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9882,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78709029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"53","issue":"5","first_page":"1581","last_page":"1600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10357","display_name":"Efficiency Analysis Using DEA","score":0.9986000061035156,"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":0.9986000061035156,"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/T10632","display_name":"Housing Market and Economics","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9767000079154968,"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/efficient-frontier","display_name":"Efficient frontier","score":0.7127237319946289},{"id":"https://openalex.org/keywords/data-envelopment-analysis","display_name":"Data envelopment analysis","score":0.6992572546005249},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6077325344085693},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.6038309931755066},{"id":"https://openalex.org/keywords/portfolio","display_name":"Portfolio","score":0.5835834741592407},{"id":"https://openalex.org/keywords/diversification","display_name":"Diversification (marketing strategy)","score":0.5660574436187744},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5231529474258423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4880744218826294},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41397055983543396},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.4056531488895416},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28111010789871216},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.1333584487438202},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11032110452651978}],"concepts":[{"id":"https://openalex.org/C51485801","wikidata":"https://www.wikidata.org/wiki/Q16966861","display_name":"Efficient frontier","level":3,"score":0.7127237319946289},{"id":"https://openalex.org/C22088475","wikidata":"https://www.wikidata.org/wiki/Q647974","display_name":"Data envelopment analysis","level":2,"score":0.6992572546005249},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6077325344085693},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.6038309931755066},{"id":"https://openalex.org/C2780821815","wikidata":"https://www.wikidata.org/wiki/Q5340806","display_name":"Portfolio","level":2,"score":0.5835834741592407},{"id":"https://openalex.org/C180916674","wikidata":"https://www.wikidata.org/wiki/Q3711935","display_name":"Diversification (marketing strategy)","level":2,"score":0.5660574436187744},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5231529474258423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4880744218826294},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41397055983543396},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.4056531488895416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28111010789871216},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.1333584487438202},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11032110452651978},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2019071","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2019071","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2019__53_5_1581_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2019071/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G4969948904","display_name":null,"funder_award_id":"2017JJ1012","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G536682498","display_name":"\u57fa\u4e8eDEA\u7684\u6295\u8d44\u7ec4\u5408\u8bc4\u4ef7\u4e0e\u6295\u8d44\u7b56\u7565\u4f18\u5316\u7814\u7a76","funder_award_id":"71771082","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6821233722","display_name":"\u57fa\u4e8e\u968f\u673aDEA\u7684\u7eff\u8272\u6295\u8d44\u7ec4\u5408\u8bc4\u4ef7\u4e0e\u4f18\u5316\u7814\u7a76","funder_award_id":"71801091","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W149661105","https://openalex.org/W1758966433","https://openalex.org/W1978565931","https://openalex.org/W1984766746","https://openalex.org/W1986811111","https://openalex.org/W1987564665","https://openalex.org/W1993750010","https://openalex.org/W1998174418","https://openalex.org/W2005303724","https://openalex.org/W2007106598","https://openalex.org/W2008088727","https://openalex.org/W2008369960","https://openalex.org/W2015437840","https://openalex.org/W2023686146","https://openalex.org/W2024810367","https://openalex.org/W2029334685","https://openalex.org/W2039324903","https://openalex.org/W2046001204","https://openalex.org/W2047118926","https://openalex.org/W2050362459","https://openalex.org/W2050805317","https://openalex.org/W2053734038","https://openalex.org/W2054337887","https://openalex.org/W2054535840","https://openalex.org/W2062690962","https://openalex.org/W2066068791","https://openalex.org/W2079542821","https://openalex.org/W2081508255","https://openalex.org/W2088393085","https://openalex.org/W2128530362","https://openalex.org/W2136120210","https://openalex.org/W2157791744","https://openalex.org/W2171996811","https://openalex.org/W2172074964","https://openalex.org/W2255941286","https://openalex.org/W2266148845","https://openalex.org/W2305419388","https://openalex.org/W2344278613","https://openalex.org/W2586969315","https://openalex.org/W2614871094","https://openalex.org/W2732870307","https://openalex.org/W2807436732","https://openalex.org/W2811072884","https://openalex.org/W2892353207","https://openalex.org/W2899240065","https://openalex.org/W2912565176","https://openalex.org/W3122187992","https://openalex.org/W3124920732","https://openalex.org/W3145083929","https://openalex.org/W4211007335","https://openalex.org/W4241584625","https://openalex.org/W4253711539"],"related_works":["https://openalex.org/W2479414348","https://openalex.org/W1974865467","https://openalex.org/W1980707780","https://openalex.org/W4327779378","https://openalex.org/W2011801048","https://openalex.org/W2060124870","https://openalex.org/W4372325069","https://openalex.org/W1534463048","https://openalex.org/W2388859841","https://openalex.org/W2365845233"],"abstract_inverted_index":{"The":[0,154],"existing":[1],"literature":[2],"on":[3,161],"DEA":[4,109,170,182],"(Data":[5],"Envelopment":[6],"Analysis)":[7],"for":[8,50],"evaluating":[9],"fuzzy":[10,85,151,186],"portfolios":[11],"usually":[12],"takes":[13],"risk":[14,52,132],"as":[15,20,69,125,138,191,193],"an":[16,21,126],"input":[17,36],"and":[18,41,53,110,131,140,168,181],"return":[19,130],"output.":[22],"This":[23],"assumption":[24],"is":[25,37,44],"actually":[26],"not":[27],"congruent":[28],"with":[29],"the":[30,35,38,42,45,51,62,77,84,90,99,106,122,129,150,157,165,169,176,179,185,201,204,210,213,218],"real":[31,163],"investment":[32],"process,":[33],"where":[34],"initial":[39,123],"wealth":[40,124,135],"output":[43],"corresponding":[46],"terminal":[47,63,134],"wealth.":[48],"As":[49],"return,":[54],"which":[55],"are":[56,94,136,172,196],"essentially":[57],"two":[58],"indicators":[59],"derived":[60],"from":[61],"wealth,":[64],"both":[65],"should":[66],"be":[67,115],"regarded":[68],"outputs.":[70],"In":[71,117],"addition,":[72],"few":[73],"studies":[74,96],"have":[75],"employed":[76],"diversification":[78,111,166,180],"model":[79,159,167,171],"(nonlinear":[80],"DEA)":[81],"to":[82,114,198],"estimate":[83],"portfolio":[86,152],"efficiency":[87],"(PE),":[88],"despite":[89],"fact":[91],"that":[92],"there":[93],"many":[95],"available":[97],"within":[98],"framework":[100],"of":[101,133,178,203,212],"classical":[102],"probability":[103],"theory.":[104],"Further,":[105],"relationship":[107],"between":[108],"models":[112,148,183],"needs":[113],"defined.":[116],"this":[118],"paper,":[119],"we":[120,208],"take":[121],"input,":[127],"while":[128],"taken":[137],"desirable":[139],"undesirable":[141],"outputs,":[142],"respectively.":[143],"We":[144,174],"construct":[145],"different":[146],"evaluation":[147,158,214],"under":[149,184],"framework.":[153,188],"relationships":[155],"among":[156],"based":[160],"a":[162],"frontier,":[164],"investigated.":[173],"show":[175],"convergence":[177],"theory":[187],"Some":[189],"simulations":[190],"well":[192],"empirical":[194],"analysis":[195],"presented":[197],"further":[199],"verify":[200],"effectiveness":[202],"proposed":[205],"models.":[206],"Finally,":[207],"check":[209],"robustness":[211],"results":[215],"by":[216],"using":[217],"bootstrap":[219],"re-sampling":[220],"approach.":[221]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-07T06:14:10.401900","created_date":"2025-10-10T00:00:00"}
