{"id":"https://openalex.org/W4399495892","doi":"https://doi.org/10.1007/s40747-024-01497-x","title":"A novel fractional neural grey system model with discrete q-derivative","display_name":"A novel fractional neural grey system model with discrete q-derivative","publication_year":2024,"publication_date":"2024-06-10","ids":{"openalex":"https://openalex.org/W4399495892","doi":"https://doi.org/10.1007/s40747-024-01497-x"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-024-01497-x","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s40747-024-01497-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01497-x.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01497-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010043035","display_name":"Zhenguo Xu","orcid":"https://orcid.org/0000-0002-9961-7021"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenguo Xu","raw_affiliation_strings":["School of Communication, Qufu Normal University, Rizhao, China"],"affiliations":[{"raw_affiliation_string":"School of Communication, Qufu Normal University, Rizhao, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100770023","display_name":"Caixia Liu","orcid":"https://orcid.org/0000-0003-1760-8752"},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Caixia Liu","raw_affiliation_strings":["College of Intelligent Education, Jiangsu Normal University, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Intelligent Education, Jiangsu Normal University, Xuzhou, China","institution_ids":["https://openalex.org/I118574674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007006789","display_name":"Tingting Liang","orcid":"https://orcid.org/0000-0003-1607-5771"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingting Liang","raw_affiliation_strings":["School of Communication, Qufu Normal University, Rizhao, China"],"affiliations":[{"raw_affiliation_string":"School of Communication, Qufu Normal University, Rizhao, China","institution_ids":["https://openalex.org/I202126657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100770023"],"corresponding_institution_ids":["https://openalex.org/I118574674"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0941225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"5","first_page":"6409","last_page":"6420"},"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/T11918","display_name":"Forecasting Techniques and Applications","score":0.9222000241279602,"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":0.9071000218391418,"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/generalization","display_name":"Generalization","score":0.7465390563011169},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6322187185287476},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6208391785621643},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5851803421974182},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.5700536966323853},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5076879262924194},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.47073686122894287},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.44352203607559204},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4341752231121063},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3908311426639557},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3553636372089386},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3510737717151642},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.334768682718277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30579692125320435}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7465390563011169},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6322187185287476},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6208391785621643},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5851803421974182},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.5700536966323853},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5076879262924194},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.47073686122894287},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.44352203607559204},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4341752231121063},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3908311426639557},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3553636372089386},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3510737717151642},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.334768682718277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30579692125320435},{"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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-024-01497-x","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s40747-024-01497-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01497-x.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ed9431f251f3475695427a3dfb48fb19","is_oa":true,"landing_page_url":"https://doaj.org/article/ed9431f251f3475695427a3dfb48fb19","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 10, Iss 5, Pp 6409-6420 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-024-01497-x","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s40747-024-01497-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-024-01497-x.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/1","display_name":"No poverty","score":0.47999998927116394}],"awards":[{"id":"https://openalex.org/G1702329186","display_name":null,"funder_award_id":"62007020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4399495892.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1992665910","https://openalex.org/W2087120645","https://openalex.org/W2176757739","https://openalex.org/W2182435947","https://openalex.org/W2269241567","https://openalex.org/W2512857122","https://openalex.org/W2766585573","https://openalex.org/W2790979288","https://openalex.org/W2887216976","https://openalex.org/W2887232579","https://openalex.org/W2899632751","https://openalex.org/W2914451237","https://openalex.org/W2940200036","https://openalex.org/W2944851425","https://openalex.org/W2963608065","https://openalex.org/W3187411832","https://openalex.org/W3214968544","https://openalex.org/W4206233527","https://openalex.org/W4225278767","https://openalex.org/W4295529518","https://openalex.org/W4304842695","https://openalex.org/W4309772412","https://openalex.org/W4312054507","https://openalex.org/W4318323524","https://openalex.org/W4319321011","https://openalex.org/W4323979480","https://openalex.org/W4367043230","https://openalex.org/W4383101221","https://openalex.org/W4386857475","https://openalex.org/W4387294008","https://openalex.org/W4387398162","https://openalex.org/W4391131551"],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2239445980","https://openalex.org/W2080152487","https://openalex.org/W3083152911","https://openalex.org/W3022347918","https://openalex.org/W4200527723"],"abstract_inverted_index":{"Abstract":[0],"The":[1,45,73],"challenge":[2],"of":[3,28,96,105,115,119],"predicting":[4],"time":[5,13,142],"series":[6,143],"with":[7,144],"limited":[8,19],"data":[9],"has":[10],"evolved":[11],"over":[12],"due":[14],"to":[15,41,50,122],"nonlinearity,":[16],"complexity,":[17],"and":[18,63,84,127,151],"information.":[20],"It":[21,91],"can":[22,139],"be":[23],"perceived":[24],"as":[25],"a":[26,37,59,88,113],"mapping":[27],"dynamical":[29],"systems":[30],"in":[31,107],"one-dimensional":[32],"space.":[33],"This":[34],"article":[35],"proposes":[36],"neural":[38,80],"grey":[39,69,136],"system":[40,46,70],"tackle":[42],"this":[43],"challenge.":[44],"enhances":[47],"its":[48],"ability":[49],"fit":[51],"nonlinearity":[52],"by":[53,67],"employing":[54],"polynomials,":[55],"captures":[56],"complexity":[57,85,104],"through":[58],"fractional-order":[60],"cumulant":[61],"operator,":[62],"resolves":[64],"information-poor":[65],"uncertainty":[66,82],"utilizing":[68],"modeling":[71],"techniques.":[72],"model":[74,138],"effectively":[75,140],"integrates":[76],"research":[77],"findings":[78],"from":[79],"computing,":[81],"theory,":[83],"theory":[86],"at":[87],"theoretical":[89],"level.":[90],"accurately":[92],"describes":[93],"dynamic":[94],"processes":[95],"complex":[97],"systems.":[98],"Additionally,":[99],"we":[100],"have":[101],"reduced":[102],"the":[103,108,124,133],"calculations":[106],"algorithm":[109],"design.":[110],"We":[111],"selected":[112],"dataset":[114],"total":[116],"retail":[117],"sales":[118],"consumer":[120],"goods":[121],"test":[123],"model\u2019s":[125],"validity":[126],"applicability.":[128],"Our":[129],"experiments":[130],"demonstrate":[131],"that":[132],"newly":[134],"proposed":[135],"forecasting":[137,149],"forecast":[141],"small":[145],"samples,":[146],"offering":[147],"good":[148],"outcomes":[150],"generalization":[152],"ability.":[153]},"counts_by_year":[],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
