{"id":"https://openalex.org/W3186400711","doi":"https://doi.org/10.1007/s11590-021-01785-2","title":"Robust optimality, duality and saddle points for multiobjective fractional semi-infinite optimization with uncertain data","display_name":"Robust optimality, duality and saddle points for multiobjective fractional semi-infinite optimization with uncertain data","publication_year":2021,"publication_date":"2021-07-25","ids":{"openalex":"https://openalex.org/W3186400711","doi":"https://doi.org/10.1007/s11590-021-01785-2","mag":"3186400711"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-021-01785-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-021-01785-2","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5037155394","display_name":"Xiangkai Sun","orcid":"https://orcid.org/0000-0002-4329-9845"},"institutions":[{"id":"https://openalex.org/I145581781","display_name":"Chongqing Technology and Business University","ror":"https://ror.org/05hqf1284","country_code":"CN","type":"education","lineage":["https://openalex.org/I145581781"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiangkai Sun","raw_affiliation_strings":["Chongqing Key Laboratory of Social Economy and Applied Statistics, College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China"],"raw_orcid":"https://orcid.org/0000-0002-4329-9845","affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Social Economy and Applied Statistics, College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China","institution_ids":["https://openalex.org/I145581781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024370092","display_name":"Xinyi Feng","orcid":"https://orcid.org/0000-0001-5960-1028"},"institutions":[{"id":"https://openalex.org/I145581781","display_name":"Chongqing Technology and Business University","ror":"https://ror.org/05hqf1284","country_code":"CN","type":"education","lineage":["https://openalex.org/I145581781"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinyi Feng","raw_affiliation_strings":["Chongqing Key Laboratory of Social Economy and Applied Statistics, College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Social Economy and Applied Statistics, College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China","institution_ids":["https://openalex.org/I145581781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010897184","display_name":"Kok Lay Teo","orcid":"https://orcid.org/0000-0002-5903-7698"},"institutions":[{"id":"https://openalex.org/I193524592","display_name":"Tianjin University of Finance and Economics","ror":"https://ror.org/05ev1jb90","country_code":"CN","type":"education","lineage":["https://openalex.org/I193524592"]},{"id":"https://openalex.org/I84339108","display_name":"Sunway University","ror":"https://ror.org/04mjt7f73","country_code":"MY","type":"education","lineage":["https://openalex.org/I84339108"]}],"countries":["CN","MY"],"is_corresponding":false,"raw_author_name":"Kok Lay Teo","raw_affiliation_strings":["Coordinated Innovation Center for Computable Modeling in Management Science, Tianjin University of Finance and Economics, Tianjin, 300222, China","School of Mathematical Sciences, Sunway University, Bandar Sunway, 47500, Selangor Darul Ehsan, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Innovation Center for Computable Modeling in Management Science, Tianjin University of Finance and Economics, Tianjin, 300222, China","institution_ids":["https://openalex.org/I193524592"]},{"raw_affiliation_string":"School of Mathematical Sciences, Sunway University, Bandar Sunway, 47500, Selangor Darul Ehsan, Malaysia","institution_ids":["https://openalex.org/I84339108"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037155394"],"corresponding_institution_ids":["https://openalex.org/I145581781"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.5141,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.85062313,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"16","issue":"5","first_page":"1457","last_page":"1476"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9991999864578247,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.995199978351593,"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/T10969","display_name":"Water resources management and optimization","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/saddle-point","display_name":"Saddle point","score":0.7589691877365112},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.7312747240066528},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7149863243103027},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6117299199104309},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5150834918022156},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5057394504547119},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4931125342845917},{"id":"https://openalex.org/keywords/fractional-programming","display_name":"Fractional programming","score":0.44767722487449646},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4446246027946472},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4406138062477112},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42453011870384216},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4118293523788452},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2211778163909912},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.13391438126564026},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07626917958259583},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06148025393486023}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7589691877365112},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7312747240066528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7149863243103027},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6117299199104309},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5150834918022156},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5057394504547119},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4931125342845917},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.44767722487449646},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4446246027946472},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4406138062477112},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42453011870384216},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4118293523788452},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2211778163909912},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.13391438126564026},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07626917958259583},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06148025393486023},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-021-01785-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-021-01785-2","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6508806491","display_name":null,"funder_award_id":"cstc2020jcyj-msxmX0016","funder_id":"https://openalex.org/F4320323172","funder_display_name":"Natural Science Foundation of Chongqing"}],"funders":[{"id":"https://openalex.org/F4320323172","display_name":"Natural Science Foundation of Chongqing","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W83112366","https://openalex.org/W1842733265","https://openalex.org/W1967956032","https://openalex.org/W1989629680","https://openalex.org/W2006581042","https://openalex.org/W2024723176","https://openalex.org/W2034024079","https://openalex.org/W2044088357","https://openalex.org/W2059740345","https://openalex.org/W2062360657","https://openalex.org/W2076694117","https://openalex.org/W2082221223","https://openalex.org/W2087675241","https://openalex.org/W2089614239","https://openalex.org/W2131116400","https://openalex.org/W2140496876","https://openalex.org/W2148743831","https://openalex.org/W2159919041","https://openalex.org/W2170707515","https://openalex.org/W2271909439","https://openalex.org/W2324787199","https://openalex.org/W2336403701","https://openalex.org/W2509694544","https://openalex.org/W2743593635","https://openalex.org/W2811337090","https://openalex.org/W2905755388","https://openalex.org/W2919687292","https://openalex.org/W2928849700","https://openalex.org/W2992757212","https://openalex.org/W3038937359","https://openalex.org/W3118506364","https://openalex.org/W4233386419","https://openalex.org/W4249667877","https://openalex.org/W4251616545"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W2094891943","https://openalex.org/W4240399920"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}