{"id":"https://openalex.org/W3096224437","doi":"https://doi.org/10.4018/ijssmet.2020100109","title":"A Novel Approach for Solving a Fully Rough Multi-Level Quadratic Programming Problem and Its Application","display_name":"A Novel Approach for Solving a Fully Rough Multi-Level Quadratic Programming Problem and Its Application","publication_year":2020,"publication_date":"2020-10-01","ids":{"openalex":"https://openalex.org/W3096224437","doi":"https://doi.org/10.4018/ijssmet.2020100109","mag":"3096224437"},"language":"en","primary_location":{"id":"doi:10.4018/ijssmet.2020100109","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijssmet.2020100109","pdf_url":null,"source":{"id":"https://openalex.org/S149715497","display_name":"International Journal of Service Science Management Engineering and Technology","issn_l":"1947-959X","issn":["1947-959X","1947-9603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Service Science, Management, Engineering, and Technology","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/A5059775848","display_name":"Amr A. Abohany","orcid":"https://orcid.org/0000-0002-7408-5073"},"institutions":[{"id":"https://openalex.org/I130309236","display_name":"Kafrelsheikh University","ror":"https://ror.org/04a97mm30","country_code":"EG","type":"education","lineage":["https://openalex.org/I130309236"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"A. A. Abohany","raw_affiliation_strings":["Kafrelsheikh University, Egypt"],"affiliations":[{"raw_affiliation_string":"Kafrelsheikh University, Egypt","institution_ids":["https://openalex.org/I130309236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015767236","display_name":"Rizk M. Rizk\u2010Allah","orcid":"https://orcid.org/0000-0002-1553-0130"},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"Rizk Masoud Rizk-Allah","raw_affiliation_strings":["Menoufia University, Egypt"],"affiliations":[{"raw_affiliation_string":"Menoufia University, Egypt","institution_ids":["https://openalex.org/I63601056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029106489","display_name":"Diana T. Mosa","orcid":"https://orcid.org/0000-0003-1292-5046"},"institutions":[{"id":"https://openalex.org/I130309236","display_name":"Kafrelsheikh University","ror":"https://ror.org/04a97mm30","country_code":"EG","type":"education","lineage":["https://openalex.org/I130309236"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Diana T. Mosa","raw_affiliation_strings":["Kafrelsheikh University, Egypt"],"affiliations":[{"raw_affiliation_string":"Kafrelsheikh University, Egypt","institution_ids":["https://openalex.org/I130309236"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085432173","display_name":"Aboul Ella Hassanien","orcid":"https://orcid.org/0000-0002-9989-6681"},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Aboul Ella Hassanien","raw_affiliation_strings":["Cairo Unversity, Egypt"],"affiliations":[{"raw_affiliation_string":"Cairo Unversity, Egypt","institution_ids":["https://openalex.org/I145487455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5059775848"],"corresponding_institution_ids":["https://openalex.org/I130309236"],"apc_list":null,"apc_paid":null,"fwci":0.3531,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.613934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"4","first_page":"137","last_page":"165"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10969","display_name":"Water resources management and optimization","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T10969","display_name":"Water resources management and optimization","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9912999868392944,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/quadratic-programming","display_name":"Quadratic programming","score":0.6657472252845764},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6132709383964539},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5562840104103088},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5441417098045349},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.51091068983078},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5063885450363159},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46786120533943176},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.46604788303375244},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32731562852859497},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17571505904197693}],"concepts":[{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6657472252845764},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6132709383964539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5562840104103088},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5441417098045349},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.51091068983078},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5063885450363159},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46786120533943176},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.46604788303375244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32731562852859497},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17571505904197693},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4018/ijssmet.2020100109","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijssmet.2020100109","pdf_url":null,"source":{"id":"https://openalex.org/S149715497","display_name":"International Journal of Service Science Management Engineering and Technology","issn_l":"1947-959X","issn":["1947-959X","1947-9603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Service Science, Management, Engineering, and Technology","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:igg:jssmet:v:11:y:2020:i:4:p:137-165","is_oa":false,"landing_page_url":"https://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJSSMET.2020100109","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":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W638369769","https://openalex.org/W1596609792","https://openalex.org/W1972372884","https://openalex.org/W1983743030","https://openalex.org/W1998476372","https://openalex.org/W2002342776","https://openalex.org/W2024524644","https://openalex.org/W2071350812","https://openalex.org/W2326814901","https://openalex.org/W2423188019","https://openalex.org/W2518038362","https://openalex.org/W2537085693","https://openalex.org/W2565941136","https://openalex.org/W2570262234","https://openalex.org/W2599202516","https://openalex.org/W2617661268","https://openalex.org/W2744012164","https://openalex.org/W2768573245","https://openalex.org/W2774381817","https://openalex.org/W2792585511","https://openalex.org/W2795090723","https://openalex.org/W2801106343","https://openalex.org/W2810352113","https://openalex.org/W2889949612","https://openalex.org/W3157964910","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W4206704743","https://openalex.org/W4313119266","https://openalex.org/W2164807043","https://openalex.org/W4231448069","https://openalex.org/W2019128690","https://openalex.org/W2128461291","https://openalex.org/W2355907103","https://openalex.org/W2270789747","https://openalex.org/W436931041","https://openalex.org/W1495847109"],"abstract_inverted_index":{"The":[0,95,119],"most":[1,27],"widely":[2],"used":[3],"actions":[4],"and":[5,40,51,85,105,108,127],"decisions":[6,39],"of":[7,54,57,64,81,144],"the":[8,21,26,35,49,62,67,78,82,86,99,109,139,146],"real-world":[9],"tasks":[10],"frequently":[11],"appear":[12],"as":[13,89,116,134],"hierarchical":[14],"systems.":[15],"To":[16],"deal":[17],"with":[18],"these":[19],"systems,":[20],"multi-level":[22,73,149],"programming":[23,75,151],"problem":[24],"presents":[25],"flourished":[28],"technique.":[29],"However,":[30],"practical":[31],"situations":[32],"involve":[33],"some":[34,38],"impreciseness":[36],"regarding":[37],"performances;":[41],"RST":[42],"provides":[43],"a":[44,135],"vital":[45],"role":[46],"by":[47,123],"considering":[48],"lower":[50],"upper":[52],"bounds":[53],"any":[55],"aspect":[56],"uncertain":[58],"decision.":[59],"By":[60],"preserving":[61],"advantages":[63],"it,":[65],"in":[66],"present":[68],"study,":[69],"solving":[70],"fully":[71,147],"rough":[72,90,117,148],"quadratic":[74,150],"problems":[76],"over":[77],"variables,":[79],"parameters":[80],"objective":[83],"functions,":[84],"constraints":[87],"such":[88],"intervals":[91],"are":[92],"focused":[93],"on.":[94],"proposed":[96,120,140],"approach":[97,141],"incorporates":[98],"interval":[100],"method,":[101,103],"slice-sum":[102],"Frank":[104],"Wolfe":[106],"algorithm,":[107],"decomposition":[110],"algorithm":[111],"to":[112],"reach":[113],"optimal":[114],"values":[115],"intervals.":[118],"is":[121,132,142],"validated":[122],"an":[124],"illustrative":[125],"example,":[126],"also":[128],"environmental-economic":[129],"power":[130],"dispatch":[131],"investigated":[133],"real":[136],"application.":[137],"Finally,":[138],"capable":[143],"handling":[145],"models.":[152]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
