{"id":"https://openalex.org/W4412551469","doi":"https://doi.org/10.1007/s10957-025-02783-5","title":"Optimality Conditions in Uncertain Vector Optimization Problems with Variable Domination Structures via Gerstewitz Function","display_name":"Optimality Conditions in Uncertain Vector Optimization Problems with Variable Domination Structures via Gerstewitz Function","publication_year":2025,"publication_date":"2025-07-22","ids":{"openalex":"https://openalex.org/W4412551469","doi":"https://doi.org/10.1007/s10957-025-02783-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-025-02783-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-025-02783-5","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","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":null,"display_name":"Zhenzhen Qin","orcid":null},"institutions":[{"id":"https://openalex.org/I63371133","display_name":"Chongqing Jiaotong University","ror":"https://ror.org/01t001k65","country_code":"CN","type":"education","lineage":["https://openalex.org/I63371133"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenzhen Qin","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, China","institution_ids":["https://openalex.org/I63371133"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100710384","display_name":"Qilin Wang","orcid":"https://orcid.org/0000-0001-7968-051X"},"institutions":[{"id":"https://openalex.org/I63371133","display_name":"Chongqing Jiaotong University","ror":"https://ror.org/01t001k65","country_code":"CN","type":"education","lineage":["https://openalex.org/I63371133"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qilin Wang","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, China"],"raw_orcid":"https://orcid.org/0000-0001-7968-051X","affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, China","institution_ids":["https://openalex.org/I63371133"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100440026","display_name":"Jie Wang","orcid":"https://orcid.org/0000-0001-9039-3247"},"institutions":[{"id":"https://openalex.org/I63371133","display_name":"Chongqing Jiaotong University","ror":"https://ror.org/01t001k65","country_code":"CN","type":"education","lineage":["https://openalex.org/I63371133"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Wang","raw_affiliation_strings":["College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, China","institution_ids":["https://openalex.org/I63371133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048672189","display_name":"Ching\u2010Feng Wen","orcid":"https://orcid.org/0000-0001-8900-761X"},"institutions":[{"id":"https://openalex.org/I75357094","display_name":"National Yunlin University of Science and Technology","ror":"https://ror.org/04qkq2m54","country_code":"TW","type":"education","lineage":["https://openalex.org/I75357094"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ching-Feng Wen","raw_affiliation_strings":["Department of Information Management, National Yunlin University of Science and Technology, Douliou, Yunlin, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Management, National Yunlin University of Science and Technology, Douliou, Yunlin, Taiwan","institution_ids":["https://openalex.org/I75357094"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100710384"],"corresponding_institution_ids":["https://openalex.org/I63371133"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18923129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"207","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9995999932289124,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9995999932289124,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9969000220298767,"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/mathematics","display_name":"Mathematics","score":0.8354635238647461},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.8079131841659546},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6116470694541931},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5225988030433655},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.4661484956741333},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44295862317085266},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44085970520973206},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33905160427093506},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1433829665184021},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1338794231414795}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8354635238647461},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.8079131841659546},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6116470694541931},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5225988030433655},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.4661484956741333},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44295862317085266},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44085970520973206},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33905160427093506},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1433829665184021},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1338794231414795},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10957-025-02783-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-025-02783-5","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5408111244","display_name":null,"funder_award_id":"112-2115-M-037-001","funder_id":"https://openalex.org/F4320331164","funder_display_name":"National Science and Technology Council"}],"funders":[{"id":"https://openalex.org/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1528815044","https://openalex.org/W1582299569","https://openalex.org/W1842733265","https://openalex.org/W1990275757","https://openalex.org/W1999217356","https://openalex.org/W2085240219","https://openalex.org/W2089105401","https://openalex.org/W2094964517","https://openalex.org/W2132406365","https://openalex.org/W2149726897","https://openalex.org/W2152200496","https://openalex.org/W2166364496","https://openalex.org/W2339770293","https://openalex.org/W2405930054","https://openalex.org/W2507472311","https://openalex.org/W2512666535","https://openalex.org/W2568353940","https://openalex.org/W2770680463","https://openalex.org/W2771015700","https://openalex.org/W2807603975","https://openalex.org/W2842689045","https://openalex.org/W2900783448","https://openalex.org/W2921182857","https://openalex.org/W3029757191","https://openalex.org/W3044926216","https://openalex.org/W3093599374","https://openalex.org/W3131412888","https://openalex.org/W3154230544","https://openalex.org/W4213086323","https://openalex.org/W4283359852","https://openalex.org/W4295681779","https://openalex.org/W4389093382","https://openalex.org/W4390636392"],"related_works":["https://openalex.org/W2138511311","https://openalex.org/W2565276936","https://openalex.org/W2766340440","https://openalex.org/W4385713703","https://openalex.org/W2072886676","https://openalex.org/W1989726050","https://openalex.org/W4384574993","https://openalex.org/W109016340","https://openalex.org/W188711498","https://openalex.org/W2390455111"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}