{"id":"https://openalex.org/W2065177323","doi":"https://doi.org/10.1007/s001860200247","title":"Characterizing generalized trade-off directions","display_name":"Characterizing generalized trade-off directions","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W2065177323","doi":"https://doi.org/10.1007/s001860200247","mag":"2065177323"},"language":"en","primary_location":{"id":"doi:10.1007/s001860200247","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860200247","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/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"],"is_corresponding":true,"raw_author_name":"Kaisa Miettinen","raw_affiliation_strings":["Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40014 University of 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-40014 University of Jyv\u00e4skyl\u00e4, Finland (e-mail: {miettine,makela}@mit.jyu.fi), , FI"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40014 University of 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-40014 University of Jyv\u00e4skyl\u00e4, Finland (e-mail: {miettine,makela}@mit.jyu.fi), , FI","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109177891","display_name":"Marko M. M\ufffdkel\ufffd","orcid":null},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"Marko M. M\ufffdkel\ufffd","raw_affiliation_strings":["Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40014 University of Jyv\u00e4skyl\u00e4, Finland (e-mail: {miettine,makela}@mit.jyu.fi), , FI"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Technology, University of Jyv\u00e4skyl\u00e4, P.O. Box 35 (Agora), FIN-40014 University of Jyv\u00e4skyl\u00e4, Finland (e-mail: {miettine,makela}@mit.jyu.fi), , FI","institution_ids":["https://openalex.org/I94722563"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020945863"],"corresponding_institution_ids":["https://openalex.org/I94722563"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3666,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.61829347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"57","issue":"1","first_page":"89","last_page":"100"},"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":0.9994000196456909,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9969000220298767,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6383944153785706},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.6215375065803528},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5816231369972229},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5613519549369812},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5520836710929871},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4700333774089813},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4538780450820923},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.45077913999557495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43708565831184387},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0733843743801117}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6383944153785706},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.6215375065803528},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5816231369972229},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5613519549369812},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5520836710929871},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4700333774089813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4538780450820923},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.45077913999557495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43708565831184387},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0733843743801117},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s001860200247","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860200247","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:57:y:2003:i:1:p:89-100","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s001860200247","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":7,"referenced_works":["https://openalex.org/W581935970","https://openalex.org/W1499559997","https://openalex.org/W1551360398","https://openalex.org/W1561610472","https://openalex.org/W2008499862","https://openalex.org/W2035108789","https://openalex.org/W2077784018"],"related_works":["https://openalex.org/W2337862504","https://openalex.org/W4312397206","https://openalex.org/W2492127985","https://openalex.org/W85947254","https://openalex.org/W4245126131","https://openalex.org/W2384634404","https://openalex.org/W1601556876","https://openalex.org/W2486691257","https://openalex.org/W1538467246","https://openalex.org/W3094456605"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}