{"id":"https://openalex.org/W2793641417","doi":"https://doi.org/10.1007/s11075-018-0483-5","title":"Multiple reduced gradient method for multiobjective optimization problems","display_name":"Multiple reduced gradient method for multiobjective optimization problems","publication_year":2018,"publication_date":"2018-02-13","ids":{"openalex":"https://openalex.org/W2793641417","doi":"https://doi.org/10.1007/s11075-018-0483-5","mag":"2793641417"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-018-0483-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0483-5","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5088869767","display_name":"Mustapha El Moudden","orcid":"https://orcid.org/0000-0002-0884-0456"},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"M. El Moudden","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-0884-0456","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco","institution_ids":["https://openalex.org/I4210153608"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049001371","display_name":"A. El Ghali","orcid":null},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"A. El Ghali","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco","institution_ids":["https://openalex.org/I4210153608"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088869767"],"corresponding_institution_ids":["https://openalex.org/I4210153608"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8579,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75486775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"79","issue":"4","first_page":"1257","last_page":"1282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","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":0.9991999864578247,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7452222108840942},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7241023778915405},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.6581113338470459},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6311188340187073},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.5018389225006104},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.47786182165145874},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4564107060432434},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.43600282073020935},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.4348960220813751},{"id":"https://openalex.org/keywords/vector-optimization","display_name":"Vector optimization","score":0.4139974117279053},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.3388710618019104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24414366483688354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2069726586341858},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.09029257297515869}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7452222108840942},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7241023778915405},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6581113338470459},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6311188340187073},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.5018389225006104},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.47786182165145874},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4564107060432434},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.43600282073020935},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.4348960220813751},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.4139974117279053},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.3388710618019104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24414366483688354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2069726586341858},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.09029257297515869},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-018-0483-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0483-5","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Responsible consumption and production","id":"https://metadata.un.org/sdg/12","score":0.5}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W991430770","https://openalex.org/W1558500582","https://openalex.org/W1595498733","https://openalex.org/W1965515155","https://openalex.org/W1967102574","https://openalex.org/W1992296912","https://openalex.org/W2004586020","https://openalex.org/W2008499862","https://openalex.org/W2020110101","https://openalex.org/W2034136603","https://openalex.org/W2048061283","https://openalex.org/W2052471135","https://openalex.org/W2060727197","https://openalex.org/W2075217007","https://openalex.org/W2080752182","https://openalex.org/W2100717205","https://openalex.org/W2106504578","https://openalex.org/W2126105956","https://openalex.org/W2127519119","https://openalex.org/W2143784392","https://openalex.org/W2162994510","https://openalex.org/W2266946488","https://openalex.org/W2367139999","https://openalex.org/W2531315337","https://openalex.org/W2571148692","https://openalex.org/W2615258659","https://openalex.org/W6600446328","https://openalex.org/W6629799166"],"related_works":["https://openalex.org/W2015288657","https://openalex.org/W39176023","https://openalex.org/W1985812215","https://openalex.org/W9059077","https://openalex.org/W2111200844","https://openalex.org/W4389767465","https://openalex.org/W2054621035","https://openalex.org/W2381266720","https://openalex.org/W2046515352","https://openalex.org/W2301935234"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
