{"id":"https://openalex.org/W2071262478","doi":"https://doi.org/10.1007/s11590-013-0667-9","title":"$$\\epsilon $$ \u03f5 -Henig proper efficiency of set-valued optimization problems in real ordered linear spaces","display_name":"$$\\epsilon $$ \u03f5 -Henig proper efficiency of set-valued optimization problems in real ordered linear spaces","publication_year":2013,"publication_date":"2013-06-25","ids":{"openalex":"https://openalex.org/W2071262478","doi":"https://doi.org/10.1007/s11590-013-0667-9","mag":"2071262478"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-013-0667-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-013-0667-9","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/A5061539112","display_name":"Zhiang Zhou","orcid":"https://orcid.org/0000-0002-8054-4176"},"institutions":[{"id":"https://openalex.org/I50632499","display_name":"Chongqing University of Technology","ror":"https://ror.org/04vgbd477","country_code":"CN","type":"education","lineage":["https://openalex.org/I50632499"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Ang Zhou","raw_affiliation_strings":["Department of Applied Mathematics, Chongqing University of Technology, Chongqing, 400054, China","Chongqing University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Chongqing University of Technology, Chongqing, 400054, China","institution_ids":["https://openalex.org/I50632499"]},{"raw_affiliation_string":"Chongqing University of Technology","institution_ids":["https://openalex.org/I50632499"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100549553","display_name":"Xinmin Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I126924076","display_name":"Chongqing Normal University","ror":"https://ror.org/01dcw5w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I126924076"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin-Min Yang","raw_affiliation_strings":["School of Mathematics, Chongqing Normal University,  Chongqing, 400047, China","/Chongqing Normal University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Chongqing Normal University,  Chongqing, 400047, China","institution_ids":["https://openalex.org/I126924076"]},{"raw_affiliation_string":"/Chongqing Normal University","institution_ids":["https://openalex.org/I126924076"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065355221","display_name":"Jian-Wen Peng","orcid":"https://orcid.org/0000-0002-3848-8414"},"institutions":[{"id":"https://openalex.org/I126924076","display_name":"Chongqing Normal University","ror":"https://ror.org/01dcw5w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I126924076"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian-Wen Peng","raw_affiliation_strings":["School of Mathematics, Chongqing Normal University,  Chongqing, 400047, China","/Chongqing Normal University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Chongqing Normal University,  Chongqing, 400047, China","institution_ids":["https://openalex.org/I126924076"]},{"raw_affiliation_string":"/Chongqing Normal University","institution_ids":["https://openalex.org/I126924076"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065355221"],"corresponding_institution_ids":["https://openalex.org/I126924076"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.2348,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88142518,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"8","issue":"6","first_page":"1813","last_page":"1827"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9850999712944031,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9711999893188477,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.755338191986084},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.5962492823600769},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.517804741859436},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49356234073638916},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.4654199779033661},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43026354908943176},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3941066861152649},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36516350507736206},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36482328176498413},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3256855905056},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3203813433647156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20087024569511414},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14143213629722595},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06258735060691833}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.755338191986084},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.5962492823600769},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.517804741859436},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49356234073638916},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.4654199779033661},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43026354908943176},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3941066861152649},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36516350507736206},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36482328176498413},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3256855905056},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3203813433647156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20087024569511414},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14143213629722595},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06258735060691833},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-013-0667-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-013-0667-9","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W67294476","https://openalex.org/W89037727","https://openalex.org/W147042409","https://openalex.org/W187778025","https://openalex.org/W803972901","https://openalex.org/W1585268704","https://openalex.org/W1976474514","https://openalex.org/W1983898611","https://openalex.org/W2010915268","https://openalex.org/W2015936756","https://openalex.org/W2020622546","https://openalex.org/W2023949084","https://openalex.org/W2024371836","https://openalex.org/W2042838607","https://openalex.org/W2043823063","https://openalex.org/W2063012011","https://openalex.org/W2074909374","https://openalex.org/W2077744102","https://openalex.org/W2083818478","https://openalex.org/W2085855707","https://openalex.org/W2089088151","https://openalex.org/W2133178126","https://openalex.org/W2153015072","https://openalex.org/W2353772875","https://openalex.org/W2625743770","https://openalex.org/W4229824626","https://openalex.org/W4231758816","https://openalex.org/W4396738453"],"related_works":["https://openalex.org/W2331066051","https://openalex.org/W2565276936","https://openalex.org/W2766340440","https://openalex.org/W4385713703","https://openalex.org/W3110974367","https://openalex.org/W2146807310","https://openalex.org/W4384574993","https://openalex.org/W2322945812","https://openalex.org/W109016340","https://openalex.org/W2013374813"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}