{"id":"https://openalex.org/W4212849154","doi":"https://doi.org/10.1109/tase.2022.3148459","title":"An Angle-Based Bi-Objective Optimization Algorithm for Redundancy Allocation in Presence of Interval Uncertainty","display_name":"An Angle-Based Bi-Objective Optimization Algorithm for Redundancy Allocation in Presence of Interval Uncertainty","publication_year":2022,"publication_date":"2022-02-16","ids":{"openalex":"https://openalex.org/W4212849154","doi":"https://doi.org/10.1109/tase.2022.3148459"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2022.3148459","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2022.3148459","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2086/21648","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039711566","display_name":"Yue Xu","orcid":"https://orcid.org/0000-0001-7577-1756"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yue Xu","raw_affiliation_strings":["College of Artificial Intelligence, Nanjing University of Aeronautics and Astronautics, Nanjing, China","NUAA - Nanjing University of Aeronautics and Astronautics [Nanjing] (29 Yudao St., Nanjing 210016 - Chine)"],"raw_orcid":"https://orcid.org/0000-0001-7577-1756","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"NUAA - Nanjing University of Aeronautics and Astronautics [Nanjing] (29 Yudao St., Nanjing 210016 - Chine)","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088602677","display_name":"Dechang Pi","orcid":"https://orcid.org/0000-0002-6593-4563"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dechang Pi","raw_affiliation_strings":["College of Artificial Intelligence, Nanjing University of Aeronautics and Astronautics, Nanjing, China","NUAA - Nanjing University of Aeronautics and Astronautics [Nanjing] (29 Yudao St., Nanjing 210016 - Chine)"],"raw_orcid":"https://orcid.org/0000-0002-6593-4563","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"NUAA - Nanjing University of Aeronautics and Astronautics [Nanjing] (29 Yudao St., Nanjing 210016 - Chine)","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040583251","display_name":"Shengxiang Yang","orcid":"https://orcid.org/0000-0001-7222-4917"},"institutions":[{"id":"https://openalex.org/I66943878","display_name":"De Montfort University","ror":"https://ror.org/0312pnr83","country_code":"GB","type":"education","lineage":["https://openalex.org/I66943878"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Shengxiang Yang","raw_affiliation_strings":["School of Computer Science and Informatics, De Montfort University, Leicester, U.K"],"raw_orcid":"https://orcid.org/0000-0001-7222-4917","affiliations":[{"raw_affiliation_string":"School of Computer Science and Informatics, De Montfort University, Leicester, U.K","institution_ids":["https://openalex.org/I66943878"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100715525","display_name":"Yang Chen","orcid":"https://orcid.org/0000-0001-5239-9816"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Chen","raw_affiliation_strings":["College of Artificial Intelligence, Nanjing University of Aeronautics and Astronautics, Nanjing, China","NUAA - Nanjing University of Aeronautics and Astronautics [Nanjing] (29 Yudao St., Nanjing 210016 - Chine)"],"raw_orcid":"https://orcid.org/0000-0001-5239-9816","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"NUAA - Nanjing University of Aeronautics and Astronautics [Nanjing] (29 Yudao St., Nanjing 210016 - Chine)","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087820845","display_name":"Shuo Qin","orcid":"https://orcid.org/0000-0003-1751-9821"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuo Qin","raw_affiliation_strings":["College of Artificial Intelligence, Nanjing University of Aeronautics and Astronautics, Nanjing, China","NUAA - Nanjing University of Aeronautics and Astronautics [Nanjing] (29 Yudao St., Nanjing 210016 - Chine)"],"raw_orcid":"https://orcid.org/0000-0003-1751-9821","affiliations":[{"raw_affiliation_string":"College of Artificial Intelligence, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"NUAA - Nanjing University of Aeronautics and Astronautics [Nanjing] (29 Yudao St., Nanjing 210016 - Chine)","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012431211","display_name":"Enrico Zio","orcid":"https://orcid.org/0000-0002-7108-637X"},"institutions":[{"id":"https://openalex.org/I2746051580","display_name":"Universit\u00e9 Paris Sciences et Lettres","ror":"https://ror.org/013cjyk83","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580"]},{"id":"https://openalex.org/I4403386560","display_name":"Centre de Recherche sur les Risques et les Crises","ror":"https://ror.org/05p7zpp88","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4403386560","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["FR","IT"],"is_corresponding":false,"raw_author_name":"Enrico Zio","raw_affiliation_strings":["Department of Energy, Centre for Research on Risk and Crises (CRC), Ecole de Mines, ParisTech, PSL University, Paris, France","POLIMI - Politecnico di Milano [Milan] (Piazza Leonardo da Vinci, 32 20133 Milano - Italie)","CRC - Centre de recherche sur les Risques et les Crises (Rue Claude Daunesse CS 10207 06904 Sophia-Antipolis Cedex - France)"],"raw_orcid":"https://orcid.org/0000-0002-7108-637X","affiliations":[{"raw_affiliation_string":"Department of Energy, Centre for Research on Risk and Crises (CRC), Ecole de Mines, ParisTech, PSL University, Paris, France","institution_ids":["https://openalex.org/I70768539","https://openalex.org/I2746051580","https://openalex.org/I4403386560"]},{"raw_affiliation_string":"POLIMI - Politecnico di Milano [Milan] (Piazza Leonardo da Vinci, 32 20133 Milano - Italie)","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"CRC - Centre de recherche sur les Risques et les Crises (Rue Claude Daunesse CS 10207 06904 Sophia-Antipolis Cedex - France)","institution_ids":["https://openalex.org/I4403386560"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5039711566"],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":4.2831,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.94850476,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"20","issue":"1","first_page":"271","last_page":"284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/redundancy","display_name":"Redundancy (engineering)","score":0.7038185000419617},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6983027458190918},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5723810791969299},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4961000382900238},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.48999515175819397},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45294684171676636},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44317561388015747},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.42085736989974976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3281136453151703},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1594906747341156}],"concepts":[{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.7038185000419617},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6983027458190918},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5723810791969299},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4961000382900238},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.48999515175819397},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45294684171676636},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44317561388015747},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.42085736989974976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3281136453151703},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1594906747341156},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tase.2022.3148459","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2022.3148459","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03908367v1","is_oa":false,"landing_page_url":"https://minesparis-psl.hal.science/hal-03908367","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automation Science and Engineering, 2022, pp.1-14. ⟨10.1109/TASE.2022.3148459⟩","raw_type":"Journal articles"},{"id":"pmh:oai:dora.dmu.ac.uk:2086/21648","is_oa":true,"landing_page_url":"https://hdl.handle.net/2086/21648","pdf_url":null,"source":{"id":"https://openalex.org/S4306400394","display_name":"DMU Open Research Archive (De Montfort University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66943878","host_organization_name":"De Montfort University","host_organization_lineage":["https://openalex.org/I66943878"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:re.public.polimi.it:11311/1227429","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1227429","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dora.dmu.ac.uk:2086/21648","is_oa":true,"landing_page_url":"https://hdl.handle.net/2086/21648","pdf_url":null,"source":{"id":"https://openalex.org/S4306400394","display_name":"DMU Open Research Archive (De Montfort University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66943878","host_organization_name":"De Montfort University","host_organization_lineage":["https://openalex.org/I66943878"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8245922069","display_name":null,"funder_award_id":"202006830131","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"}],"funders":[{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W906609756","https://openalex.org/W1525375343","https://openalex.org/W1566457085","https://openalex.org/W1973142821","https://openalex.org/W1978633877","https://openalex.org/W1984915403","https://openalex.org/W2000246015","https://openalex.org/W2003409240","https://openalex.org/W2008875849","https://openalex.org/W2010130628","https://openalex.org/W2011541053","https://openalex.org/W2013934519","https://openalex.org/W2014075191","https://openalex.org/W2014739264","https://openalex.org/W2018339823","https://openalex.org/W2019257925","https://openalex.org/W2029497022","https://openalex.org/W2034629430","https://openalex.org/W2039926303","https://openalex.org/W2042592945","https://openalex.org/W2046708299","https://openalex.org/W2048217413","https://openalex.org/W2072661909","https://openalex.org/W2076138414","https://openalex.org/W2085670410","https://openalex.org/W2089191214","https://openalex.org/W2098577481","https://openalex.org/W2100917483","https://openalex.org/W2106334424","https://openalex.org/W2126105956","https://openalex.org/W2126997347","https://openalex.org/W2144113342","https://openalex.org/W2159613153","https://openalex.org/W2166486239","https://openalex.org/W2179771196","https://openalex.org/W2234257563","https://openalex.org/W2295319872","https://openalex.org/W2335306109","https://openalex.org/W2363215134","https://openalex.org/W2469950730","https://openalex.org/W2481575175","https://openalex.org/W2512033555","https://openalex.org/W2733931363","https://openalex.org/W2752455195","https://openalex.org/W2773661899","https://openalex.org/W2781026149","https://openalex.org/W2783252215","https://openalex.org/W2798139910","https://openalex.org/W2800756770","https://openalex.org/W2888338796","https://openalex.org/W2894290879","https://openalex.org/W2908550500","https://openalex.org/W2940979927","https://openalex.org/W2942487723","https://openalex.org/W2966240254","https://openalex.org/W2985454679","https://openalex.org/W3007677052","https://openalex.org/W3011057310","https://openalex.org/W3011716437","https://openalex.org/W3041140528","https://openalex.org/W3105045001","https://openalex.org/W3130580836","https://openalex.org/W3136617877","https://openalex.org/W3168204391","https://openalex.org/W3208031743"],"related_works":["https://openalex.org/W1495042958","https://openalex.org/W2494338568","https://openalex.org/W2122678784","https://openalex.org/W2282510344","https://openalex.org/W139987158","https://openalex.org/W2183994405","https://openalex.org/W4234013965","https://openalex.org/W2349023125","https://openalex.org/W4253006236","https://openalex.org/W2514951647"],"abstract_inverted_index":{"Uncertainty":[0],"is":[1,64,80,104,115,132,143,206,234,267,289,300,345],"a":[2,56,127,148,157,378,400],"practical":[3,238],"issue":[4],"in":[5,23,66,240,244,270,327,364],"system":[6],"design":[7],"optimization":[8,39,275],"because":[9],"some":[10],"characteristics":[11,29,263],"of":[12,30,48,129,169,190,246,264,273,280,317,337,342,382,402],"components,":[13,31,265],"such":[14],"as":[15],"reliability":[16,274],"and":[17,86,138,174,226,288,350,361,396],"cost,":[18],"cannot":[19],"be":[20,160,325],"determined":[21],"precisely":[22],"many":[24,365],"situations.":[25],"Considering":[26],"the":[27,37,41,46,54,97,119,135,162,167,170,179,187,191,203,255,261,271,278,281,306,314,318,335,338,348,367,390],"imprecise":[28,262],"few":[32,371],"works":[33],"have":[34],"focused":[35],"on":[36,141],"multi-objective":[38,241,256,329],"for":[40,83,102,106,117,353],"redundancy":[42,61,242,257],"allocation":[43,62,243,258],"due":[44],"to":[45,95,153,231,253,333,346,388],"challenges":[47],"comparing":[49],"multi":[50],"intervals.":[51],"To":[52,159,292],"tackle":[53,96,293],"issue,":[55,295],"novel":[57,149],"angle-based":[58,75],"bi-":[59],"objective":[60],"algorithm":[63,205],"proposed":[65,136,163,204,322],"this":[67,145,250,294,343,375],"study,":[68],"introducing":[69],"three":[70],"original":[71],"contributions:":[72],"1)":[73],"An":[74,99],"interval":[76,151,192,247,297,319,330,383],"crowding":[77,282,298],"distance":[78,283],"(ICA)":[79],"especially":[81,301],"designed":[82],"effective":[84],"performance":[85],"reduced":[87,227],"computational":[88,195,228,356],"time;":[89],"2)":[90],"Two":[91],"techniques":[92],"are":[93],"applied":[94],"problem:":[98],"elite":[100],"selection":[101],"mutation":[103],"presented":[105],"generating":[107,213],"better":[108],"offsprings;":[109],"A":[110],"penalty-guided":[111],"constraint":[112],"handling":[113],"technique":[114],"introduced":[116],"converting":[118],"problem":[120,259],"into":[121],"an":[122,296],"unconstrained":[123],"one.":[124],"3)":[125],"Since":[126],"set":[128,401],"optimal":[130,391],"solutions":[131],"obtained":[133],"by":[134,236],"method":[137,152,323],"no":[139,373],"preference":[140],"uncertainties":[142],"provided,":[144],"paper":[146,251,376],"proposes":[147,377],"knee":[150,379],"help":[154],"DMs":[155],"make":[156],"decision.":[158],"specific,":[161],"ICA":[164],"can":[165,324],"describe":[166],"distribution":[168],"whole":[171],"population":[172],"intuitively":[173],"effectively,":[175],"considering":[176,303],"not":[177,304],"only":[178,305,370],"angle":[180,188,299,307,315],"between":[181,308],"two":[182,198,237,309],"compared":[183,310],"individuals":[184],"but":[185,312],"also":[186,313],"range":[189,316],"values.":[193,320],"The":[194,321,340,355],"results":[196,357],"from":[197],"typical":[199],"experiments":[200],"demonstrate":[201],"that":[202,385],"more":[207],"efficient":[208],"than":[209],"other":[210],"state-of-the-art":[211],"algorithms,":[212],"Pareto":[214],"sets":[215],"with":[216,260,393],"less":[217,224,290,397],"repeating":[218],"individuals,":[219,311],"stronger":[220],"convergence,":[221],"wider":[222],"distribution,":[223],"imprecision,":[225],"time.":[229],"Note":[230],"Practitioners\u2014This":[232],"article":[233],"motivated":[235],"problems":[239],"presence":[245],"uncertainty:":[248],"First,":[249],"tries":[252],"solve":[254],"which":[266],"rarely":[268],"considered":[269],"field":[272],"design.":[276],"Second,":[277],"calculation":[279],"needs":[284],"extra":[285],"time":[286],"cost":[287],"efficient.":[291],"designed,":[302],"embedded":[326],"most":[328],"evolutionary":[331],"algorithms":[332],"compute":[334],"diversity":[336],"individuals.":[339],"goal":[341],"study":[344],"allocate":[347],"economy":[349],"high-reliable":[351],"components":[352],"practitioners.":[354],"verify":[358],"its":[359],"effectiveness":[360],"efficiency.":[362],"Besides,":[363],"cases":[366],"practitioners":[368,387],"know":[369],"or":[372],"preferences,":[374],"point":[380],"analysis":[381],"values":[384],"allows":[386],"select":[389],"solution":[392],"large":[394],"hypervolume":[395],"imprecision":[398],"among":[399],"solutions.":[403]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}