{"id":"https://openalex.org/W2970484671","doi":"https://doi.org/10.1051/ro/2019077","title":"A possibilistic optimization over an integer efficient set within a fuzzy environment","display_name":"A possibilistic optimization over an integer efficient set within a fuzzy environment","publication_year":2019,"publication_date":"2019-08-29","ids":{"openalex":"https://openalex.org/W2970484671","doi":"https://doi.org/10.1051/ro/2019077","mag":"2970484671"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2019077","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2019077","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"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/A5024458122","display_name":"Assia Menni","orcid":"https://orcid.org/0000-0003-2290-8012"},"institutions":[{"id":"https://openalex.org/I157169809","display_name":"University of Sciences and Technology Houari Boumediene","ror":"https://ror.org/02kb89c09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I157169809"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Assia Menni","raw_affiliation_strings":["AMCD-RO-DGRSDT Laboratory, Faculty of Mathematics, Department of Operations Research USTHB, Bab-Ezzouar, Bp 32 El Alia, BEZ, 16121 Algiers, Algeria"],"affiliations":[{"raw_affiliation_string":"AMCD-RO-DGRSDT Laboratory, Faculty of Mathematics, Department of Operations Research USTHB, Bab-Ezzouar, Bp 32 El Alia, BEZ, 16121 Algiers, Algeria","institution_ids":["https://openalex.org/I157169809"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051193609","display_name":"Djamal Chaabane","orcid":"https://orcid.org/0000-0001-7223-7945"},"institutions":[{"id":"https://openalex.org/I157169809","display_name":"University of Sciences and Technology Houari Boumediene","ror":"https://ror.org/02kb89c09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I157169809"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Djamal Chaabane","raw_affiliation_strings":["AMCD-RO-DGRSDT Laboratory, Faculty of Mathematics, Department of Operations Research USTHB, Bab-Ezzouar, Bp 32 El Alia, BEZ, 16121 Algiers, Algeria"],"affiliations":[{"raw_affiliation_string":"AMCD-RO-DGRSDT Laboratory, Faculty of Mathematics, Department of Operations Research USTHB, Bab-Ezzouar, Bp 32 El Alia, BEZ, 16121 Algiers, Algeria","institution_ids":["https://openalex.org/I157169809"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024458122"],"corresponding_institution_ids":["https://openalex.org/I157169809"],"apc_list":null,"apc_paid":null,"fwci":0.1663,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.47830318,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"54","issue":"5","first_page":"1437","last_page":"1452"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.695699155330658},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6172535419464111},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6077700257301331},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5989187359809875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.598185658454895},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5503123998641968},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4938124120235443},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.46735432744026184},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4669918119907379},{"id":"https://openalex.org/keywords/set-function","display_name":"Set function","score":0.42349088191986084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29544883966445923},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12247809767723083}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.695699155330658},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6172535419464111},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6077700257301331},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5989187359809875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.598185658454895},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5503123998641968},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4938124120235443},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.46735432744026184},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4669918119907379},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.42349088191986084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29544883966445923},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12247809767723083},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2019077","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2019077","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"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_2020__54_5_1437_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2019077/","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W173895910","https://openalex.org/W1600338438","https://openalex.org/W1729590981","https://openalex.org/W1972675159","https://openalex.org/W1980277493","https://openalex.org/W1984028315","https://openalex.org/W2000032443","https://openalex.org/W2007586481","https://openalex.org/W2010245689","https://openalex.org/W2029209503","https://openalex.org/W2031642968","https://openalex.org/W2036737894","https://openalex.org/W2037554859","https://openalex.org/W2045560222","https://openalex.org/W2054934628","https://openalex.org/W2058265515","https://openalex.org/W2069069851","https://openalex.org/W2072581479","https://openalex.org/W2078538587","https://openalex.org/W2099867994","https://openalex.org/W2103945139","https://openalex.org/W2144692135","https://openalex.org/W2168702340","https://openalex.org/W2171715801","https://openalex.org/W2176210190","https://openalex.org/W2184314249","https://openalex.org/W2327568262","https://openalex.org/W2330022088","https://openalex.org/W2496352033","https://openalex.org/W2747901967","https://openalex.org/W2912565176","https://openalex.org/W2993706351","https://openalex.org/W4211007335","https://openalex.org/W4239991171","https://openalex.org/W4292158025","https://openalex.org/W4300491437"],"related_works":["https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W3116484972","https://openalex.org/W2941986668","https://openalex.org/W4232431455","https://openalex.org/W1486684451","https://openalex.org/W2801459815","https://openalex.org/W2099285375","https://openalex.org/W4361273540"],"abstract_inverted_index":{"Optimizing":[0],"a":[1,9,20,27],"linear":[2],"function":[3],"over":[4],"the":[5,86],"efficient":[6,29],"set":[7,30],"of":[8,59],"Multiple":[10],"Objective":[11],"Integer":[12],"Linear":[13],"Programming":[14],"(MOILP)":[15],"problem":[16,22,40],"is":[17,31,77],"known":[18],"as":[19],"difficult":[21,45],"to":[23,70],"deal":[24,56],"with,":[25],"since":[26],"discrete":[28],"generally":[32],"not":[33,36],"convex":[34],"and":[35,43,67,81,91],"explicitly":[37],"known.":[38],"Such":[39],"becomes":[41],"more":[42,44],"when":[46],"parameters":[47,64],"are":[48,65,68],"defined":[49],"with":[50,57],"uncertainty.":[51],"In":[52],"this":[53,60],"work,":[54],"we":[55],"problems":[58],"type":[61],"for":[62],"which":[63],"imprecise":[66],"assumed":[69],"be":[71],"trapezoidal":[72],"fuzzy":[73],"numbers.":[74],"The":[75],"method":[76],"based":[78],"on":[79],"possibility":[80],"necessity":[82],"measures":[83],"introduced":[84],"in":[85],"literature":[87],"by":[88],"D.":[89],"Dubois":[90],"H.":[92],"Prade.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}