{"id":"https://openalex.org/W4408905911","doi":"https://doi.org/10.1108/gs-12-2024-0142","title":"The grey multivariate forecasting model based on seasonal fluctuation series and its application","display_name":"The grey multivariate forecasting model based on seasonal fluctuation series and its application","publication_year":2025,"publication_date":"2025-03-27","ids":{"openalex":"https://openalex.org/W4408905911","doi":"https://doi.org/10.1108/gs-12-2024-0142"},"language":"en","primary_location":{"id":"doi:10.1108/gs-12-2024-0142","is_oa":false,"landing_page_url":"https://doi.org/10.1108/gs-12-2024-0142","pdf_url":null,"source":{"id":"https://openalex.org/S4210188239","display_name":"Grey Systems Theory and Application","issn_l":"2043-9377","issn":["2043-9377","2043-9385"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Grey Systems: Theory and Application","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":null,"display_name":"Tianqi Jin","orcid":"https://orcid.org/0009-0001-6444-9021"},"institutions":[{"id":"https://openalex.org/I4750791","display_name":"Henan Agricultural University","ror":"https://ror.org/04eq83d71","country_code":"CN","type":"education","lineage":["https://openalex.org/I4750791"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianqi Jin","raw_affiliation_strings":["Henan Agricultural University , Zhengzhou,"],"raw_orcid":"https://orcid.org/0009-0001-6444-9021","affiliations":[{"raw_affiliation_string":"Henan Agricultural University , Zhengzhou,","institution_ids":["https://openalex.org/I4750791"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101436562","display_name":"Hongtao Ren","orcid":"https://orcid.org/0000-0003-1025-9158"},"institutions":[{"id":"https://openalex.org/I169689159","display_name":"PLA Information Engineering University","ror":"https://ror.org/00mm1qk40","country_code":"CN","type":"education","lineage":["https://openalex.org/I169689159"]},{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]},{"id":"https://openalex.org/I4750791","display_name":"Henan Agricultural University","ror":"https://ror.org/04eq83d71","country_code":"CN","type":"education","lineage":["https://openalex.org/I4750791"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongtao Ren","raw_affiliation_strings":["College of Information and Management Science , , Zhengzhou,","Henan Agricultural University , , Zhengzhou,"],"raw_orcid":"https://orcid.org/0000-0003-1025-9158","affiliations":[{"raw_affiliation_string":"College of Information and Management Science , , Zhengzhou,","institution_ids":["https://openalex.org/I169689159","https://openalex.org/I38877650"]},{"raw_affiliation_string":"Henan Agricultural University , , Zhengzhou,","institution_ids":["https://openalex.org/I4750791"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Hao Li","orcid":"https://orcid.org/0009-0008-3485-510X"},"institutions":[{"id":"https://openalex.org/I4750791","display_name":"Henan Agricultural University","ror":"https://ror.org/04eq83d71","country_code":"CN","type":"education","lineage":["https://openalex.org/I4750791"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Li","raw_affiliation_strings":["Henan Agricultural University , Zhengzhou,"],"raw_orcid":"https://orcid.org/0009-0008-3485-510X","affiliations":[{"raw_affiliation_string":"Henan Agricultural University , Zhengzhou,","institution_ids":["https://openalex.org/I4750791"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100339251","display_name":"Ye Li","orcid":"https://orcid.org/0000-0002-8785-6092"},"institutions":[{"id":"https://openalex.org/I4750791","display_name":"Henan Agricultural University","ror":"https://ror.org/04eq83d71","country_code":"CN","type":"education","lineage":["https://openalex.org/I4750791"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ye Li","raw_affiliation_strings":["Henan Agriculture University , Zhengzhou,"],"raw_orcid":"https://orcid.org/0000-0002-8785-6092","affiliations":[{"raw_affiliation_string":"Henan Agriculture University , Zhengzhou,","institution_ids":["https://openalex.org/I4750791"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.7107,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.96885371,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"15","issue":"3","first_page":"361","last_page":"381"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.9997000098228455,"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":0.9997000098228455,"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"}},{"id":"https://openalex.org/T14369","display_name":"Diverse Interdisciplinary Research Innovations","score":0.9814000129699707,"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"}},{"id":"https://openalex.org/T11052","display_name":"Energy Load and Power Forecasting","score":0.9634000062942505,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/multivariate-statistics","display_name":"Multivariate statistics","score":0.7884397506713867},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.7025346159934998},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.5393872261047363},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.45876070857048035},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.45273536443710327},{"id":"https://openalex.org/keywords/seasonal-adjustment","display_name":"Seasonal adjustment","score":0.43100011348724365},{"id":"https://openalex.org/keywords/autoregressive-integrated-moving-average","display_name":"Autoregressive integrated moving average","score":0.4299701750278473},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.40960589051246643},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.3676624298095703},{"id":"https://openalex.org/keywords/climatology","display_name":"Climatology","score":0.3516371250152588},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.341507226228714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3362657129764557},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.2643553912639618},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.14467626810073853}],"concepts":[{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.7884397506713867},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7025346159934998},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5393872261047363},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.45876070857048035},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.45273536443710327},{"id":"https://openalex.org/C169446498","wikidata":"https://www.wikidata.org/wiki/Q622893","display_name":"Seasonal adjustment","level":3,"score":0.43100011348724365},{"id":"https://openalex.org/C24338571","wikidata":"https://www.wikidata.org/wiki/Q2566298","display_name":"Autoregressive integrated moving average","level":3,"score":0.4299701750278473},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.40960589051246643},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.3676624298095703},{"id":"https://openalex.org/C49204034","wikidata":"https://www.wikidata.org/wiki/Q52139","display_name":"Climatology","level":1,"score":0.3516371250152588},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.341507226228714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3362657129764557},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.2643553912639618},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.14467626810073853},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1108/gs-12-2024-0142","is_oa":false,"landing_page_url":"https://doi.org/10.1108/gs-12-2024-0142","pdf_url":null,"source":{"id":"https://openalex.org/S4210188239","display_name":"Grey Systems Theory and Application","issn_l":"2043-9377","issn":["2043-9377","2043-9385"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Grey Systems: Theory and Application","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W2087120645","https://openalex.org/W2517772030","https://openalex.org/W2891856506","https://openalex.org/W3094224917","https://openalex.org/W3110478278","https://openalex.org/W3124329643","https://openalex.org/W3157886990","https://openalex.org/W3210629633","https://openalex.org/W4200550314","https://openalex.org/W4220726206","https://openalex.org/W4220887363","https://openalex.org/W4284973584","https://openalex.org/W4292840439","https://openalex.org/W4309278905","https://openalex.org/W4319296028","https://openalex.org/W4360876964","https://openalex.org/W4367293692","https://openalex.org/W4376868944","https://openalex.org/W4378234652","https://openalex.org/W4388580381","https://openalex.org/W4388632619","https://openalex.org/W4390097550","https://openalex.org/W4390763911","https://openalex.org/W4399864615","https://openalex.org/W4401562339"],"related_works":["https://openalex.org/W2592284908","https://openalex.org/W3175321409","https://openalex.org/W4312561791","https://openalex.org/W2389894046","https://openalex.org/W2215717369","https://openalex.org/W2146461990","https://openalex.org/W4312309719","https://openalex.org/W4391216528","https://openalex.org/W2980748541","https://openalex.org/W2118640767"],"abstract_inverted_index":{"Purpose":[0],"To":[1],"address":[2],"forecasting":[3,63,121],"challenges":[4],"of":[5,122,183,192],"seasonal":[6,16,112,162],"and":[7,27,45,79,99,109,137,152,163,189],"nonlinear":[8,58,164,198],"time":[9,28,46,153,193],"series":[10],"data,":[11,113],"this":[12],"study":[13],"proposes":[14],"a":[15,157],"multivariate":[17],"discrete":[18],"grey":[19,93],"power":[20,23,29,47,126,146,154,175,194,206],"model":[21,39,67,197],"with":[22,42,81],"exponents,":[24],"trigonometric":[25,43,150,184],"functions":[26,44,151,185],"terms":[30,155,195],"to":[31,55,70,107,160,170,186,196],"improve":[32],"prediction":[33,201],"accuracy.":[34,64],"Design/methodology/approach":[35],"Firstly,":[36],"the":[37,57,61,66,71,140,144,180,190,204],"SDPGM(1,N)":[38,89],"is":[40,53,68,128,156],"built":[41],"terms.":[48],"Next,":[49],"particle":[50],"swarm":[51],"optimization":[52],"utilized":[54],"calculate":[56],"parameters,":[59],"enhancing":[60],"model\u2019s":[62],"Finally,":[65],"applied":[69],"quarterly":[72,124,173],"solar":[73,125,145,174,205],"energy":[74,135],"generation":[75,127],"forecast":[76,171],"in":[77,134,203],"China":[78],"compared":[80],"other":[82,92],"commonly":[83],"used":[84,169],"models.":[85,102],"Findings":[86],"Results":[87],"show":[88],"outperforms":[90],"three":[91],"models":[94],"as":[95,97],"well":[96],"statistical":[98],"machine":[100],"learning":[101],"This":[103,177],"highlights":[104],"its":[105,115],"ability":[106],"fit":[108],"predict":[110],"complex":[111],"proving":[114],"practical":[116],"utility.":[117],"Practical":[118],"implications":[119],"Accurate":[120],"China\u2019s":[123,172],"imperative":[129],"for":[130,138],"informing":[131],"strategic":[132],"adjustments":[133],"policy":[136],"guiding":[139],"industry":[141],"planning":[142],"within":[143],"sector.":[147,207],"Originality/value":[148],"Using":[149],"good":[158],"way":[159],"handle":[161],"data.":[165],"It":[166],"has":[167],"been":[168],"generation.":[176],"method":[178],"uses":[179],"periodic":[181],"nature":[182],"capture":[187],"seasonality":[188],"flexibility":[191],"trends,":[199],"improving":[200],"accuracy":[202]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}