{"id":"https://openalex.org/W4410024534","doi":"https://doi.org/10.1007/s10957-025-02668-7","title":"Uncertain Variational Inequalities Based on Chance Constraints","display_name":"Uncertain Variational Inequalities Based on Chance Constraints","publication_year":2025,"publication_date":"2025-05-02","ids":{"openalex":"https://openalex.org/W4410024534","doi":"https://doi.org/10.1007/s10957-025-02668-7"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-025-02668-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-025-02668-7","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":"https://openalex.org/A5007341712","display_name":"Qiqiong Chen","orcid":"https://orcid.org/0000-0002-5984-3323"},"institutions":[{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"education","lineage":["https://openalex.org/I1328775524"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiqiong Chen","raw_affiliation_strings":["Zhejiang Sci-Tech University, Zhejiang, China"],"raw_orcid":"https://orcid.org/0000-0002-5984-3323","affiliations":[{"raw_affiliation_string":"Zhejiang Sci-Tech University, Zhejiang, China","institution_ids":["https://openalex.org/I1328775524"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049787892","display_name":"Xuhuan Wang","orcid":"https://orcid.org/0000-0001-9318-5152"},"institutions":[{"id":"https://openalex.org/I4210164522","display_name":"Pingxiang University","ror":"https://ror.org/05j5de504","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210164522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuhuan Wang","raw_affiliation_strings":["Pingxiang University, Jiangxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pingxiang University, Jiangxi, China","institution_ids":["https://openalex.org/I4210164522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101198333","display_name":"Xiaoliang Feng","orcid":"https://orcid.org/0000-0001-6253-6765"},"institutions":[{"id":"https://openalex.org/I4210115456","display_name":"Chuzhou University","ror":"https://ror.org/037663q52","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210115456"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoliang Feng","raw_affiliation_strings":["Chuzhou University, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chuzhou University, Anhui, China","institution_ids":["https://openalex.org/I4210115456"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014614476","display_name":"Hong\u2010Kun Xu","orcid":"https://orcid.org/0000-0002-2035-2105"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hong-Kun Xu","raw_affiliation_strings":["Hangzhou Dianzi University, Zhejiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hangzhou Dianzi University, Zhejiang, China","institution_ids":["https://openalex.org/I50760025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014614476"],"corresponding_institution_ids":["https://openalex.org/I50760025"],"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":0.09195146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"206","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9905999898910522,"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":0.989300012588501,"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/variational-inequality","display_name":"Variational inequality","score":0.7945394515991211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7779922485351562},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7162821888923645},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.6126444339752197},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5202171206474304},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4574744701385498},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4135569632053375},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.390891969203949},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19570499658584595},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1398431956768036}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.7945394515991211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7779922485351562},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7162821888923645},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6126444339752197},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5202171206474304},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4574744701385498},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4135569632053375},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.390891969203949},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19570499658584595},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1398431956768036},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-025-02668-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-025-02668-7","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"},{"id":"pmh:oai:RePEc:spr:joptap:v:206:y:2025:i:1:d:10.1007_s10957-025-02668-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-025-02668-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1164400126","display_name":null,"funder_award_id":"LY24A010007","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"}],"funders":[{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W8581955","https://openalex.org/W1007193218","https://openalex.org/W1973040108","https://openalex.org/W1982404586","https://openalex.org/W1985348591","https://openalex.org/W2012517830","https://openalex.org/W2049741160","https://openalex.org/W2090593478","https://openalex.org/W2124181538","https://openalex.org/W2125913552","https://openalex.org/W2147977073","https://openalex.org/W2177295793","https://openalex.org/W2460559476","https://openalex.org/W4205419239","https://openalex.org/W4205790130","https://openalex.org/W4214831569","https://openalex.org/W4229942509","https://openalex.org/W4236577982","https://openalex.org/W4301791716","https://openalex.org/W4386708304","https://openalex.org/W4393861500","https://openalex.org/W4407422625","https://openalex.org/W6605879327"],"related_works":["https://openalex.org/W2909053289","https://openalex.org/W829267240","https://openalex.org/W1154119719","https://openalex.org/W2104243281","https://openalex.org/W3131922696","https://openalex.org/W4229662703","https://openalex.org/W2033468445","https://openalex.org/W43918835","https://openalex.org/W4324027757","https://openalex.org/W2093863472"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
