{"id":"https://openalex.org/W2077784018","doi":"https://doi.org/10.1007/s001860000109","title":"On cone characterizations of weak, proper and Pareto optimality in multiobjective optimization","display_name":"On cone characterizations of weak, proper and Pareto optimality in multiobjective optimization","publication_year":2001,"publication_date":"2001-06-01","ids":{"openalex":"https://openalex.org/W2077784018","doi":"https://doi.org/10.1007/s001860000109","mag":"2077784018"},"language":"en","primary_location":{"id":"doi:10.1007/s001860000109","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860000109","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"Mathematical Methods of Operations Research (ZOR)","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/A5020945863","display_name":"Kaisa Miettinen","orcid":"https://orcid.org/0000-0003-1013-4689"},"institutions":[{"id":"https://openalex.org/I1323252656","display_name":"Information Technology University","ror":"https://ror.org/00ngv8j44","country_code":"PK","type":"education","lineage":["https://openalex.org/I1323252656"]},{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI","PK"],"is_corresponding":false,"raw_author_name":"Kaisa Miettinen","raw_affiliation_strings":["Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40351 Jyv\u00e4skyl\u00e4, Finland (e-mail: {miettine,makela}@mit.jyu.fi), , , , , , FI","Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40351 Jyv\u00e4skyl\u00e4, Finland, e-mail: {miettine,makela}@mit.jyu.fi, FI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40351 Jyv\u00e4skyl\u00e4, Finland (e-mail: {miettine,makela}@mit.jyu.fi), , , , , , FI","institution_ids":["https://openalex.org/I94722563"]},{"raw_affiliation_string":"Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40351 Jyv\u00e4skyl\u00e4, Finland, e-mail: {miettine,makela}@mit.jyu.fi, FI","institution_ids":["https://openalex.org/I1323252656"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109134640","display_name":"Marko M. M\u00e4kel\u00e4","orcid":null},"institutions":[{"id":"https://openalex.org/I1323252656","display_name":"Information Technology University","ror":"https://ror.org/00ngv8j44","country_code":"PK","type":"education","lineage":["https://openalex.org/I1323252656"]},{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI","PK"],"is_corresponding":false,"raw_author_name":"Marko M. M\u00e4kel\u00e4","raw_affiliation_strings":["Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40351 Jyv\u00e4skyl\u00e4, Finland (e-mail: {miettine,makela}@mit.jyu.fi), , , , , , FI","Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40351 Jyv\u00e4skyl\u00e4, Finland, e-mail: {miettine,makela}@mit.jyu.fi, FI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40351 Jyv\u00e4skyl\u00e4, Finland (e-mail: {miettine,makela}@mit.jyu.fi), , , , , , FI","institution_ids":["https://openalex.org/I94722563"]},{"raw_affiliation_string":"Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40351 Jyv\u00e4skyl\u00e4, Finland, e-mail: {miettine,makela}@mit.jyu.fi, FI","institution_ids":["https://openalex.org/I1323252656"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":4.6036,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93664277,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"53","issue":"2","first_page":"233","last_page":"245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9901999831199646,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.968500018119812,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.737855851650238},{"id":"https://openalex.org/keywords/tangent-cone","display_name":"Tangent cone","score":0.7339740991592407},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6901073455810547},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.6464638710021973},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5938140153884888},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.5873526334762573},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5867282152175903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5794487595558167},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5779462456703186},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.4270429313182831},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3717959523200989},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33504146337509155},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.3344368040561676},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.2700318694114685},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19471225142478943},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10498300194740295}],"concepts":[{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.737855851650238},{"id":"https://openalex.org/C149944404","wikidata":"https://www.wikidata.org/wiki/Q2392464","display_name":"Tangent cone","level":3,"score":0.7339740991592407},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6901073455810547},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.6464638710021973},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5938140153884888},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.5873526334762573},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5867282152175903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5794487595558167},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5779462456703186},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.4270429313182831},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3717959523200989},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33504146337509155},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3344368040561676},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.2700318694114685},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19471225142478943},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10498300194740295}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s001860000109","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860000109","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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":"Mathematical Methods of Operations Research (ZOR)","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:compst:v:53:y:2001:i:2:p:233-245","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s001860000109","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":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2610307711","https://openalex.org/W1754393280","https://openalex.org/W4254702043","https://openalex.org/W4239576438","https://openalex.org/W4387170693","https://openalex.org/W2765895272","https://openalex.org/W4250158467","https://openalex.org/W1986720409","https://openalex.org/W3092288791","https://openalex.org/W1969325112"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}