{"id":"https://openalex.org/W4411973324","doi":"https://doi.org/10.1051/ro/2025091","title":"DEA-based allocations of fixed costs in a fuzzy environment: fuzzy expected values and max\u2013min satisfaction degree approaches","display_name":"DEA-based allocations of fixed costs in a fuzzy environment: fuzzy expected values and max\u2013min satisfaction degree approaches","publication_year":2025,"publication_date":"2025-07-01","ids":{"openalex":"https://openalex.org/W4411973324","doi":"https://doi.org/10.1051/ro/2025091"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2025091","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025091","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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1051/ro/2025091","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Xu Wang","orcid":"https://orcid.org/0000-0001-7686-564X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xu Wang","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7686-564X","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100763506","display_name":"Ying-Ming Wang","orcid":"https://orcid.org/0000-0001-6280-0175"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yingming Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030762555","display_name":"Yixing Lan","orcid":"https://orcid.org/0000-0003-4503-643X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yixin Lan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16996031,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"4","first_page":"2303","last_page":"2324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9850000143051147,"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":0.9850000143051147,"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":0.958299994468689,"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/degree","display_name":"Degree (music)","score":0.7592253684997559},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7290644645690918},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5280930399894714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3448072671890259},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32138949632644653},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13332900404930115},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09964188933372498}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7592253684997559},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7290644645690918},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5280930399894714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3448072671890259},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32138949632644653},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13332900404930115},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09964188933372498},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2025091","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025091","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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2025091","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025091","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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8491674388","display_name":null,"funder_award_id":"72371077","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W146706758","https://openalex.org/W798023909","https://openalex.org/W1781116333","https://openalex.org/W1805897029","https://openalex.org/W1971423254","https://openalex.org/W1993510643","https://openalex.org/W2017856622","https://openalex.org/W2019754423","https://openalex.org/W2022041746","https://openalex.org/W2029149597","https://openalex.org/W2032765916","https://openalex.org/W2048959935","https://openalex.org/W2061627810","https://openalex.org/W2076452041","https://openalex.org/W2077642099","https://openalex.org/W2090370952","https://openalex.org/W2128530362","https://openalex.org/W2129763896","https://openalex.org/W2143936328","https://openalex.org/W2155709581","https://openalex.org/W2156577211","https://openalex.org/W2164377989","https://openalex.org/W2506753585","https://openalex.org/W2586448866","https://openalex.org/W2586520406","https://openalex.org/W2607050953","https://openalex.org/W2773715120","https://openalex.org/W2789880973","https://openalex.org/W2892956201","https://openalex.org/W2895708338","https://openalex.org/W2939765328","https://openalex.org/W2945471598","https://openalex.org/W2950100954","https://openalex.org/W2990620411","https://openalex.org/W2991506542","https://openalex.org/W3026298741","https://openalex.org/W4282919872","https://openalex.org/W4294576359","https://openalex.org/W4309552683","https://openalex.org/W4320035422","https://openalex.org/W4320518635","https://openalex.org/W4322762465","https://openalex.org/W4323671065"],"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":{"Due":[0],"to":[1,35,119,124],"incomplete":[2],"and":[3,10,43,76,95,143,173],"unattainable":[4],"information,":[5],"the":[6,26,44,53,59,65,73,96,104,107,112,121,125,130,147,160,165,175],"data":[7,27,34],"of":[8,68,98,106,178,189],"inputs":[9,75],"outputs":[11,78],"in":[12,129],"production":[13],"often":[14],"cannot":[15],"be":[16],"obtained":[17],"crisply":[18,170],"but":[19],"are":[20,79],"represented":[21],"by":[22,153],"fuzzy":[23,45,54,60,74,77,108,131,135,141,161,166,179],"data.":[24],"Therefore,":[25],"envelopment":[28],"analysis":[29],"(DEA)":[30],"approach":[31,63,138,163],"with":[32,103,164],"precise":[33,186],"fixed":[36,69,126,148,190],"cost":[37,70,127,149],"allocation":[38,88,128,150,187],"is":[39,48,117,151],"not":[40],"applicable":[41],"anymore,":[42],"DEA":[46,55,142,162,197],"method":[47],"necessitated.":[49],"This":[50],"paper":[51],"proposes":[52],"model":[56],"based":[57,139],"on":[58,140],"expected":[61,109,136,167],"values":[62,110,137,168],"for":[64,146],"first":[66],"measurement":[67],"allocation,":[71],"where":[72],"respectively":[80],"weighted.":[81],"It":[82,157],"proves":[83],"that":[84,90,159,192],"there":[85],"exist":[86],"feasible":[87],"schemes":[89],"can":[91,169,193],"render":[92],"each":[93],"DMU":[94],"collection":[97],"all":[99,195],"DMUs":[100,172,196],"efficient.":[101,198],"Additionally,":[102],"help":[105],"approach,":[111],"Max-min":[113],"satisfaction":[114,144],"degree":[115,145],"principle":[116],"utilized":[118],"achieve":[120],"optimal":[122],"solution":[123],"scenario.":[132],"The":[133],"proposed":[134],"illustrated":[152],"two":[154],"numerical":[155],"examples.":[156],"shows":[158],"evaluate":[171],"avoid":[174],"comparison":[176],"dilemma":[177],"efficiencies,":[180],"as":[181,183],"well":[182],"determine":[184],"a":[185],"plan":[188],"costs":[191],"make":[194]},"counts_by_year":[],"updated_date":"2026-07-07T06:14:10.401900","created_date":"2025-10-10T00:00:00"}
