{"id":"https://openalex.org/W2301626379","doi":"https://doi.org/10.1007/s11590-016-1027-3","title":"Nonlinear scalarization functions and polar cone in set optimization","display_name":"Nonlinear scalarization functions and polar cone in set optimization","publication_year":2016,"publication_date":"2016-03-18","ids":{"openalex":"https://openalex.org/W2301626379","doi":"https://doi.org/10.1007/s11590-016-1027-3","mag":"2301626379"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-016-1027-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-016-1027-3","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/A5077733469","display_name":"S. Khoshkhabar-amiranloo","orcid":null},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"S. Khoshkhabar-amiranloo","raw_affiliation_strings":["Department of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Avenue, Tehran, 15914, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Avenue, Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013456431","display_name":"Esmaile Khorram","orcid":"https://orcid.org/0000-0003-3252-424X"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"E. Khorram","raw_affiliation_strings":["Department of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Avenue, Tehran, 15914, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Avenue, Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072327042","display_name":"Majid Soleimani-damaneh","orcid":"https://orcid.org/0000-0002-5913-1035"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. Soleimani-damaneh","raw_affiliation_strings":["School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Enghelab Avenue, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Enghelab Avenue, Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013456431"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0814,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.79325638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"3","first_page":"521","last_page":"535"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9735999703407288,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/convexity","display_name":"Convexity","score":0.8899909257888794},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.7353243827819824},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6854849457740784},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6433907747268677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6367486715316772},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.6137281656265259},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5266744494438171},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4983844757080078},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4621928334236145},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4286516606807709},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2554299831390381},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2514035105705261},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11192876100540161},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07438495755195618}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.8899909257888794},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.7353243827819824},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6854849457740784},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6433907747268677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6367486715316772},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.6137281656265259},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5266744494438171},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4983844757080078},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4621928334236145},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4286516606807709},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2554299831390381},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2514035105705261},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11192876100540161},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07438495755195618},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-016-1027-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-016-1027-3","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W113278869","https://openalex.org/W613549528","https://openalex.org/W1514218977","https://openalex.org/W1582299569","https://openalex.org/W1985021614","https://openalex.org/W2005078085","https://openalex.org/W2013118573","https://openalex.org/W2015570398","https://openalex.org/W2016229739","https://openalex.org/W2017942050","https://openalex.org/W2018383858","https://openalex.org/W2030876301","https://openalex.org/W2035138741","https://openalex.org/W2035990529","https://openalex.org/W2039033803","https://openalex.org/W2043349812","https://openalex.org/W2045355466","https://openalex.org/W2057813856","https://openalex.org/W2075625005","https://openalex.org/W2094964517","https://openalex.org/W2136012582","https://openalex.org/W2564022600","https://openalex.org/W4210718478","https://openalex.org/W4249125060"],"related_works":["https://openalex.org/W2092244978","https://openalex.org/W2017666241","https://openalex.org/W2301626379","https://openalex.org/W2385895110","https://openalex.org/W2235662472","https://openalex.org/W3103483851","https://openalex.org/W1977185222","https://openalex.org/W2525542699","https://openalex.org/W3133747525","https://openalex.org/W4318472083"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
