{"id":"https://openalex.org/W4401931836","doi":"https://doi.org/10.1111/exsy.13705","title":"Trust region based chaotic search for solving multi\u2010objective optimization problems","display_name":"Trust region based chaotic search for solving multi\u2010objective optimization problems","publication_year":2024,"publication_date":"2024-08-26","ids":{"openalex":"https://openalex.org/W4401931836","doi":"https://doi.org/10.1111/exsy.13705"},"language":"en","primary_location":{"id":"doi:10.1111/exsy.13705","is_oa":false,"landing_page_url":"https://doi.org/10.1111/exsy.13705","pdf_url":null,"source":{"id":"https://openalex.org/S72232612","display_name":"Expert Systems","issn_l":"0266-4720","issn":["0266-4720","1468-0394"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Expert Systems","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/A5070056269","display_name":"M.A. El\u2010Shorbagy","orcid":"https://orcid.org/0000-0002-8115-0638"},"institutions":[{"id":"https://openalex.org/I142608572","display_name":"Prince Sattam Bin Abdulaziz University","ror":"https://ror.org/04jt46d36","country_code":"SA","type":"education","lineage":["https://openalex.org/I142608572"]},{"id":"https://openalex.org/I63601056","display_name":"Menoufia University","ror":"https://ror.org/05sjrb944","country_code":"EG","type":"education","lineage":["https://openalex.org/I63601056"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"M. A. El\u2010Shorbagy","raw_affiliation_strings":["Department of Basic Engineering Science, Faculty of Engineering Menoufia University  Shebin El\u2010Kom Egypt","Department of Mathematics, College of Science and Humanities in Al\u2010Kharj Prince Sattam bin Abdulaziz University  Al\u2010Kharj Saudi Arabia","Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom, Egypt","Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-8115-0638","affiliations":[{"raw_affiliation_string":"Department of Basic Engineering Science, Faculty of Engineering Menoufia University  Shebin El\u2010Kom Egypt","institution_ids":["https://openalex.org/I63601056"]},{"raw_affiliation_string":"Department of Mathematics, College of Science and Humanities in Al\u2010Kharj Prince Sattam bin Abdulaziz University  Al\u2010Kharj Saudi Arabia","institution_ids":["https://openalex.org/I142608572"]},{"raw_affiliation_string":"Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom, Egypt","institution_ids":["https://openalex.org/I63601056"]},{"raw_affiliation_string":"Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia","institution_ids":["https://openalex.org/I142608572"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070056269"],"corresponding_institution_ids":["https://openalex.org/I142608572","https://openalex.org/I63601056"],"apc_list":{"value":3860,"currency":"USD","value_usd":3860},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16092184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"12","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998000264167786,"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/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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7445988655090332},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7000143527984619},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.6256617307662964},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5689709186553955},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5540941953659058},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5389569401741028},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5001676082611084},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44970959424972534},{"id":"https://openalex.org/keywords/local-search","display_name":"Local search (optimization)","score":0.4166285991668701},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3709421157836914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18676578998565674},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12995943427085876}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7445988655090332},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7000143527984619},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.6256617307662964},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5689709186553955},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5540941953659058},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5389569401741028},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5001676082611084},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44970959424972534},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.4166285991668701},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3709421157836914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18676578998565674},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12995943427085876},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1111/exsy.13705","is_oa":false,"landing_page_url":"https://doi.org/10.1111/exsy.13705","pdf_url":null,"source":{"id":"https://openalex.org/S72232612","display_name":"Expert Systems","issn_l":"0266-4720","issn":["0266-4720","1468-0394"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Expert Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G183881639","display_name":null,"funder_award_id":"PSAU/2024/R/1445.","funder_id":"https://openalex.org/F4320311227","funder_display_name":"Prince Sattam bin Abdulaziz University"}],"funders":[{"id":"https://openalex.org/F4320311227","display_name":"Prince Sattam bin Abdulaziz University","ror":"https://ror.org/04jt46d36"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W170686111","https://openalex.org/W1021406254","https://openalex.org/W1964009395","https://openalex.org/W1964442167","https://openalex.org/W1972272528","https://openalex.org/W1978368079","https://openalex.org/W1989574099","https://openalex.org/W1991419315","https://openalex.org/W1997473290","https://openalex.org/W2005865517","https://openalex.org/W2006307174","https://openalex.org/W2024731739","https://openalex.org/W2029071607","https://openalex.org/W2031470163","https://openalex.org/W2031655766","https://openalex.org/W2033758151","https://openalex.org/W2038904236","https://openalex.org/W2041684917","https://openalex.org/W2043701472","https://openalex.org/W2047904721","https://openalex.org/W2063762761","https://openalex.org/W2075184363","https://openalex.org/W2080108722","https://openalex.org/W2091091836","https://openalex.org/W2091917610","https://openalex.org/W2116901831","https://openalex.org/W2125566231","https://openalex.org/W2168437289","https://openalex.org/W2225671745","https://openalex.org/W2264594800","https://openalex.org/W2493109494","https://openalex.org/W2509591300","https://openalex.org/W2559130006","https://openalex.org/W2617246448","https://openalex.org/W2769102407","https://openalex.org/W2795347428","https://openalex.org/W2883109957","https://openalex.org/W2962881194","https://openalex.org/W3178467969","https://openalex.org/W4212997115","https://openalex.org/W4243536426","https://openalex.org/W4292408320","https://openalex.org/W4323046632","https://openalex.org/W4364856512","https://openalex.org/W4384927570","https://openalex.org/W4386011797","https://openalex.org/W4387709272","https://openalex.org/W4388692980","https://openalex.org/W4391581479"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W4241467429","https://openalex.org/W2001591765","https://openalex.org/W2073147994","https://openalex.org/W1588199609","https://openalex.org/W2384474142","https://openalex.org/W1550055091","https://openalex.org/W2744462909","https://openalex.org/W3083133203","https://openalex.org/W1971520370"],"abstract_inverted_index":{"Abstract":[0],"A":[1,184],"numerical":[2],"optimization":[3,75,141],"technique":[4,65,117],"used":[5,133],"to":[6,28,57,72,113,134,137,160,216,229],"address":[7],"nonlinear":[8],"programming":[9],"problems":[10,76,189],"is":[11,80,112,132,147,220],"the":[12,25,33,48,55,59,86,95,106,127,164,167,171,177,192,195,212,227],"trust":[13,39],"region":[14,40],"(TR)":[15,116],"method.":[16],"TR":[17,64,96,168],"uses":[18],"a":[19,30,38,90,138,152,209,223],"quadratic":[20],"model,":[21],"which":[22],"may":[23],"represent":[24],"function":[26],"adequately,":[27],"create":[29],"neighbourhood":[31],"around":[32],"current":[34],"best":[35],"solution":[36],"as":[37],"in":[41,158,201],"each":[42],"step,":[43],"rather":[44],"than":[45],"searching":[46],"for":[47,98,123,206],"original":[49],"function's":[50],"objective":[51,140],"solution.":[52],"This":[53],"allows":[54],"method":[56,169],"determine":[58],"next":[60],"local":[61],"optimum.":[62],"The":[63,144],"has":[66],"been":[67],"utilized":[68],"by":[69],"numerous":[70],"researchers":[71],"tackle":[73],"multi\u2010objective":[74,100],"(MOOPs).":[77],"But":[78],"there":[79],"not":[81],"any":[82],"publication":[83],"that":[84],"discusses":[85],"issue":[87],"of":[88,109,154,186,194,211,226],"applying":[89],"chaotic":[91,120],"search":[92,121,145],"(CS)":[93,122],"with":[94,151],"algorithm":[97,197,228],"solving":[99,124],"(MO)":[101],"problems.":[102],"From":[103],"this":[104,110],"motivation,":[105],"main":[107],"contribution":[108],"study":[111],"introduce":[114],"trust\u2010region":[115],"based":[118,199],"on":[119,163,176],"MOOPs.":[125,207],"First,":[126],"reference":[128],"point":[129],"interactive":[130],"approach":[131],"convert":[135],"MOOP":[136],"single":[139],"problem":[142],"(SOOP).":[143],"space":[146],"then":[148],"randomly":[149],"initialized":[150],"set":[153],"initial":[155],"points.":[156],"Second,":[157],"order":[159],"supply":[161],"locations":[162],"Pareto":[165,178,203],"boundary,":[166],"solves":[170],"SOOP.":[172],"Finally,":[173],"all":[174],"points":[175],"frontier":[179],"are":[180],"obtained":[181],"using":[182],"CS.":[183],"range":[185],"MO":[187],"benchmark":[188],"have":[190],"demonstrated":[191],"efficiency":[193],"proposed":[196],"(TR":[198],"CS)":[200],"generating":[202],"optimum":[204],"sets":[205],"Furthermore,":[208],"demonstration":[210],"suggested":[213],"algorithm's":[214],"ability":[215],"resolve":[217],"real\u2010world":[218],"applications":[219],"provided":[221],"through":[222],"practical":[224],"implementation":[225],"improve":[230],"an":[231],"abrasive":[232],"water\u2010jet":[233],"machining":[234],"process":[235],"(AWJM).":[236]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}