{"id":"https://openalex.org/W2237636956","doi":"https://doi.org/10.1007/s11590-015-0925-0","title":"Weak sharp efficiency in multiobjective optimization","display_name":"Weak sharp efficiency in multiobjective optimization","publication_year":2015,"publication_date":"2015-07-29","ids":{"openalex":"https://openalex.org/W2237636956","doi":"https://doi.org/10.1007/s11590-015-0925-0","mag":"2237636956"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-015-0925-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-015-0925-0","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/A5087791261","display_name":"Shengkun Zhu","orcid":"https://orcid.org/0000-0001-8569-124X"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"S. K. Zhu","raw_affiliation_strings":["Department of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China"],"affiliations":[{"raw_affiliation_string":"Department of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, 611130, China","institution_ids":["https://openalex.org/I204831749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087791261"],"corresponding_institution_ids":["https://openalex.org/I204831749"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0914,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.80618929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":"6","first_page":"1287","last_page":"1301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9983000159263611,"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":0.9983000159263611,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9936000108718872,"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":0.9918000102043152,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.8023515939712524},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5141713619232178},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44235584139823914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42758065462112427},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4202052652835846},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2782527804374695}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.8023515939712524},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5141713619232178},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44235584139823914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42758065462112427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4202052652835846},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2782527804374695}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-015-0925-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-015-0925-0","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":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W25288802","https://openalex.org/W113278869","https://openalex.org/W596285643","https://openalex.org/W1538724032","https://openalex.org/W1585268704","https://openalex.org/W1966263955","https://openalex.org/W1972451512","https://openalex.org/W1975708545","https://openalex.org/W1982422114","https://openalex.org/W1984538196","https://openalex.org/W1995700855","https://openalex.org/W2016066906","https://openalex.org/W2034171981","https://openalex.org/W2036159573","https://openalex.org/W2056723044","https://openalex.org/W2057578212","https://openalex.org/W2061851331","https://openalex.org/W2062813253","https://openalex.org/W2063085202","https://openalex.org/W2063333239","https://openalex.org/W2064114733","https://openalex.org/W2073000070","https://openalex.org/W2073044751","https://openalex.org/W2085855707","https://openalex.org/W2095619403","https://openalex.org/W2114605231","https://openalex.org/W2127838862","https://openalex.org/W2153562582","https://openalex.org/W2502250537","https://openalex.org/W2802620382","https://openalex.org/W2912430942","https://openalex.org/W3157341860","https://openalex.org/W4241705128","https://openalex.org/W4249125060","https://openalex.org/W4249513058","https://openalex.org/W4252722163"],"related_works":["https://openalex.org/W4318426920","https://openalex.org/W2055791821","https://openalex.org/W2153873031","https://openalex.org/W570431388","https://openalex.org/W2637862190","https://openalex.org/W2611723089","https://openalex.org/W2337862504","https://openalex.org/W3082547637","https://openalex.org/W1994436307","https://openalex.org/W2164920121"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
