{"id":"https://openalex.org/W4210773929","doi":"https://doi.org/10.1155/2022/6910865","title":"An Improved Grey Model with Time Power and Its Application","display_name":"An Improved Grey Model with Time Power and Its Application","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4210773929","doi":"https://doi.org/10.1155/2022/6910865"},"language":"en","primary_location":{"id":"doi:10.1155/2022/6910865","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/6910865","pdf_url":"https://downloads.hindawi.com/journals/complexity/2022/6910865.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2022/6910865.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033957614","display_name":"Jianming Jiang","orcid":"https://orcid.org/0000-0001-9166-2103"},"institutions":[{"id":"https://openalex.org/I4210141223","display_name":"Baise University","ror":"https://ror.org/03f3rne76","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141223"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianming Jiang","raw_affiliation_strings":["School of Mathematics and Statistics, Baise University, Baise 533000, China","School of Mathematics and Statistics, Baise University, Baise 533000"],"raw_orcid":"https://orcid.org/0000-0001-9166-2103","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Baise University, Baise 533000, China","institution_ids":["https://openalex.org/I4210141223"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Baise University, Baise 533000","institution_ids":["https://openalex.org/I4210141223"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013311005","display_name":"Caixia Liu","orcid":"https://orcid.org/0000-0003-1941-0248"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Caixia Liu","raw_affiliation_strings":["College of Sciences, Northeastern University, Shenyang 110819, China","Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing 210097, China","Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing 210097"],"raw_orcid":"https://orcid.org/0000-0003-1941-0248","affiliations":[{"raw_affiliation_string":"College of Sciences, Northeastern University, Shenyang 110819, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing 210097, China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing 210097","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087026582","display_name":"Yao Yuan-guo","orcid":"https://orcid.org/0000-0002-3223-7024"},"institutions":[{"id":"https://openalex.org/I4210141223","display_name":"Baise University","ror":"https://ror.org/03f3rne76","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141223"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuanguo Yao","raw_affiliation_strings":["School of Mathematics and Statistics, Baise University, Baise 533000, China","School of Mathematics and Statistics, Baise University, Baise 533000"],"raw_orcid":"https://orcid.org/0000-0002-3223-7024","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Baise University, Baise 533000, China","institution_ids":["https://openalex.org/I4210141223"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Baise University, Baise 533000","institution_ids":["https://openalex.org/I4210141223"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079368458","display_name":"Yumu Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141223","display_name":"Baise University","ror":"https://ror.org/03f3rne76","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141223"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yumu Lu","raw_affiliation_strings":["School of Mathematics and Statistics, Baise University, Baise 533000, China","School of Mathematics and Statistics, Baise University, Baise 533000"],"raw_orcid":"https://orcid.org/0000-0002-1483-1900","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Baise University, Baise 533000, China","institution_ids":["https://openalex.org/I4210141223"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Baise University, Baise 533000","institution_ids":["https://openalex.org/I4210141223"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036617195","display_name":"Wanli Xie","orcid":"https://orcid.org/0000-0002-8430-8250"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wanli Xie","raw_affiliation_strings":["Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing 210097, China","Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing 210097"],"raw_orcid":"https://orcid.org/0000-0002-8430-8250","affiliations":[{"raw_affiliation_string":"Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing 210097, China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing 210097","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100412229","display_name":"Chong Liu","orcid":"https://orcid.org/0000-0001-9521-2740"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chong Liu","raw_affiliation_strings":["College of Sciences, Northeastern University, Shenyang 110819, China","Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing 210097, China","College of Sciences, Northeastern University, Shenyang 110819"],"raw_orcid":"https://orcid.org/0000-0001-9521-2740","affiliations":[{"raw_affiliation_string":"College of Sciences, Northeastern University, Shenyang 110819, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing 210097, China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"College of Sciences, Northeastern University, Shenyang 110819","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087026582"],"corresponding_institution_ids":["https://openalex.org/I4210141223"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.3267,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.5860925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"2022","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.9998999834060669,"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/benchmark","display_name":"Benchmark (surveying)","score":0.6198819279670715},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6090483069419861},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5583786964416504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5112019181251526},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4763736426830292},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4346112608909607},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.41942429542541504},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41676604747772217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3857971727848053},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38560351729393005},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3491254448890686},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07898011803627014},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06569021940231323}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6198819279670715},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6090483069419861},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5583786964416504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5112019181251526},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4763736426830292},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4346112608909607},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.41942429542541504},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41676604747772217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3857971727848053},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38560351729393005},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3491254448890686},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07898011803627014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06569021940231323},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2022/6910865","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/6910865","pdf_url":"https://downloads.hindawi.com/journals/complexity/2022/6910865.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6910865","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2022/6910865.xml","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"},{"id":"pmh:oai:doaj.org/article:8de4de818e4644f0ba63652c02be337c","is_oa":true,"landing_page_url":"https://doaj.org/article/8de4de818e4644f0ba63652c02be337c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2022 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2022/6910865","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/6910865","pdf_url":"https://downloads.hindawi.com/journals/complexity/2022/6910865.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2722764108","display_name":null,"funder_award_id":"11\u2009661\u2009001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2874884322","display_name":null,"funder_award_id":"2016GXNSFBA380069","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3642918067","display_name":null,"funder_award_id":"2016GXNSFBA380069","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322768","display_name":"Natural Science Foundation of Guangxi Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4210773929.pdf","grobid_xml":"https://content.openalex.org/works/W4210773929.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1992665910","https://openalex.org/W2013377700","https://openalex.org/W2019040271","https://openalex.org/W2036953951","https://openalex.org/W2079151946","https://openalex.org/W2083038452","https://openalex.org/W2087120645","https://openalex.org/W2152195021","https://openalex.org/W2606233713","https://openalex.org/W2727360691","https://openalex.org/W2761946372","https://openalex.org/W2792348244","https://openalex.org/W2799398830","https://openalex.org/W2803099549","https://openalex.org/W2804202111","https://openalex.org/W2810698648","https://openalex.org/W2885046688","https://openalex.org/W2887421085","https://openalex.org/W2887719172","https://openalex.org/W2893850211","https://openalex.org/W2894871218","https://openalex.org/W2909316755","https://openalex.org/W2941382837","https://openalex.org/W2950903803","https://openalex.org/W2967100621","https://openalex.org/W2982346591","https://openalex.org/W3009344044"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W2745001401","https://openalex.org/W4321353415","https://openalex.org/W2130974462","https://openalex.org/W972276598","https://openalex.org/W4246352526","https://openalex.org/W2028665553","https://openalex.org/W2086519370","https://openalex.org/W2087343574","https://openalex.org/W3041040697"],"abstract_inverted_index":{"The":[0],"grey":[1,63,94],"system":[2],"model":[3,64,83,133,151,163],"with":[4,46,65],"time":[5,26,66,77,107],"power,":[6,67],"which":[7,54,157],"is":[8,73,134],"often":[9],"called":[10],"the":[11,33,50,76,81,85,98,102,106,124,127,131,138,149],"GM(1,1,":[12,34],"t":[13,35,70],"\u03b1":[14,36,71],"),":[15,72],"appeals":[16],"considerable":[17],"interest":[18],"of":[19,80,88,126,141],"research":[20],"due":[21],"to":[22,30,122,136,145],"its":[23],"effectiveness":[24],"in":[25,101],"series":[27,90],"forecasting.":[28],"Aimed":[29],"improve":[31],"further":[32],")":[37],"model,":[38],"this":[39],"paper":[40],"introduces":[41],"a":[42,59,161],"new":[43],"whitening":[44,52,103],"equation":[45,53,104],"variable":[47,99],"coefficient":[48,100],"into":[49],"original":[51,89],"extends":[55],"applicable":[56],"scope;":[57],"as":[58],"result,":[60],"an":[61],"improved":[62],"namely,":[68],"OGM(1,1,":[69],"proposed.":[74],"Firstly,":[75],"response":[78],"function":[79],"novel":[82,128,132,150],"and":[84,105,166],"restored":[86],"values":[87],"are":[91,109,119],"deduced":[92],"through":[93],"modelling":[95],"techniques.":[96],"Secondly,":[97],"power":[108],"determined":[110],"by":[111],"particle":[112],"swarm":[113],"optimization":[114],"algorithm.":[115],"Two":[116],"empirical":[117],"examples":[118],"then":[120],"used":[121],"verify":[123],"validity":[125],"model.":[129],"Finally,":[130],"applied":[135],"predict":[137],"oil":[139],"consumption":[140],"China":[142],"from":[143],"2004":[144],"2018.":[146],"Results":[147],"show":[148],"outperforms":[152],"other":[153],"commonly\u2010used":[154],"competitive":[155],"models,":[156],"can":[158],"well":[159],"serve":[160],"benchmark":[162],"for":[164],"scholars":[165],"decision\u2010makers.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}