{"id":"https://openalex.org/W4383535834","doi":"https://doi.org/10.3390/sym15071379","title":"Relative Error Linear Combination Forecasting Model Based on Uncertainty Theory","display_name":"Relative Error Linear Combination Forecasting Model Based on Uncertainty Theory","publication_year":2023,"publication_date":"2023-07-07","ids":{"openalex":"https://openalex.org/W4383535834","doi":"https://doi.org/10.3390/sym15071379"},"language":"en","primary_location":{"id":"doi:10.3390/sym15071379","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15071379","pdf_url":"https://www.mdpi.com/2073-8994/15/7/1379/pdf?version=1688705621","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/7/1379/pdf?version=1688705621","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040492567","display_name":"Hongmei Shi","orcid":"https://orcid.org/0000-0001-7205-8509"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hongmei Shi","raw_affiliation_strings":["School of Information Science and Engineering, Shandong Agriculture and Engineering University, Jinan 250100, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Agriculture and Engineering University, Jinan 250100, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101221623","display_name":"Wei Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lin Wei","raw_affiliation_strings":["School of Information Science and Engineering, Shandong Agriculture and Engineering University, Jinan 250100, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Agriculture and Engineering University, Jinan 250100, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100608298","display_name":"Cui Wang","orcid":"https://orcid.org/0000-0003-0339-0940"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cui Wang","raw_affiliation_strings":["School of Information Science and Engineering, Shandong Agriculture and Engineering University, Jinan 250100, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Agriculture and Engineering University, Jinan 250100, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110992696","display_name":"Shuai Wang","orcid":"https://orcid.org/0009-0008-1408-4897"},"institutions":[{"id":"https://openalex.org/I4210150411","display_name":"Shandong Youth University of Political Science","ror":"https://ror.org/04bwp4t29","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210150411"]},{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shuai Wang","raw_affiliation_strings":["New Technology Research and Development Center of Intelligent Information Controlling, Universities of Shandong, Jinan 250103, China","School of Information Engineering, Shandong Youth University of Political Science, Jinan 250103, China","Smart Healthcare Big Data Engineering and Ubiquitous Computing Characteristic Laboratory, Universities of Shandong, Jinan 250103, China"],"affiliations":[{"raw_affiliation_string":"New Technology Research and Development Center of Intelligent Information Controlling, Universities of Shandong, Jinan 250103, China","institution_ids":["https://openalex.org/I34949971"]},{"raw_affiliation_string":"School of Information Engineering, Shandong Youth University of Political Science, Jinan 250103, China","institution_ids":["https://openalex.org/I4210150411"]},{"raw_affiliation_string":"Smart Healthcare Big Data Engineering and Ubiquitous Computing Characteristic Laboratory, Universities of Shandong, Jinan 250103, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021207605","display_name":"Yufu Ning","orcid":"https://orcid.org/0000-0002-7230-4017"},"institutions":[{"id":"https://openalex.org/I4210150411","display_name":"Shandong Youth University of Political Science","ror":"https://ror.org/04bwp4t29","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210150411"]},{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufu Ning","raw_affiliation_strings":["New Technology Research and Development Center of Intelligent Information Controlling, Universities of Shandong, Jinan 250103, China","School of Information Engineering, Shandong Youth University of Political Science, Jinan 250103, China","Smart Healthcare Big Data Engineering and Ubiquitous Computing Characteristic Laboratory, Universities of Shandong, Jinan 250103, China"],"affiliations":[{"raw_affiliation_string":"New Technology Research and Development Center of Intelligent Information Controlling, Universities of Shandong, Jinan 250103, China","institution_ids":["https://openalex.org/I34949971"]},{"raw_affiliation_string":"School of Information Engineering, Shandong Youth University of Political Science, Jinan 250103, China","institution_ids":["https://openalex.org/I4210150411"]},{"raw_affiliation_string":"Smart Healthcare Big Data Engineering and Ubiquitous Computing Characteristic Laboratory, Universities of Shandong, Jinan 250103, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5110992696"],"corresponding_institution_ids":["https://openalex.org/I34949971","https://openalex.org/I4210150411"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.3474,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61729638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"7","first_page":"1379","last_page":"1379"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9923999905586243,"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/T13244","display_name":"Analysis of environmental and stochastic processes","score":0.9426000118255615,"subfield":{"id":"https://openalex.org/subfields/2308","display_name":"Management, Monitoring, Policy and Law"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49855899810791016},{"id":"https://openalex.org/keywords/linear-model","display_name":"Linear model","score":0.4937630593776703},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.477420449256897},{"id":"https://openalex.org/keywords/ordinary-least-squares","display_name":"Ordinary least squares","score":0.4753660559654236},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4706522524356842},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.45722901821136475},{"id":"https://openalex.org/keywords/probabilistic-forecasting","display_name":"Probabilistic forecasting","score":0.43421128392219543},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3881085515022278},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37116333842277527},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21141478419303894},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1916896104812622}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49855899810791016},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.4937630593776703},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.477420449256897},{"id":"https://openalex.org/C99656134","wikidata":"https://www.wikidata.org/wiki/Q2912993","display_name":"Ordinary least squares","level":2,"score":0.4753660559654236},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4706522524356842},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.45722901821136475},{"id":"https://openalex.org/C122282355","wikidata":"https://www.wikidata.org/wiki/Q7246855","display_name":"Probabilistic forecasting","level":3,"score":0.43421128392219543},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3881085515022278},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37116333842277527},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21141478419303894},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1916896104812622},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15071379","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15071379","pdf_url":"https://www.mdpi.com/2073-8994/15/7/1379/pdf?version=1688705621","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a5d5a015d1b84051a8bd8263231b26db","is_oa":true,"landing_page_url":"https://doaj.org/article/a5d5a015d1b84051a8bd8263231b26db","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":"Symmetry, Vol 15, Iss 7, p 1379 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/7/1379/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15071379","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15071379","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15071379","pdf_url":"https://www.mdpi.com/2073-8994/15/7/1379/pdf?version=1688705621","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4383535834.pdf","grobid_xml":"https://content.openalex.org/works/W4383535834.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W2047238629","https://openalex.org/W2109510349","https://openalex.org/W2151376743","https://openalex.org/W2185760344","https://openalex.org/W2370209779","https://openalex.org/W2392721068","https://openalex.org/W2470871844","https://openalex.org/W2588587052","https://openalex.org/W2810511349","https://openalex.org/W2852697398","https://openalex.org/W2923592669","https://openalex.org/W2953982812","https://openalex.org/W2972325118","https://openalex.org/W3025369963","https://openalex.org/W3087373714","https://openalex.org/W3154345384","https://openalex.org/W3176695301","https://openalex.org/W4210691042","https://openalex.org/W4317840379","https://openalex.org/W6682597882","https://openalex.org/W6686515627"],"related_works":["https://openalex.org/W63065332","https://openalex.org/W1990738922","https://openalex.org/W3093365844","https://openalex.org/W2983071886","https://openalex.org/W397719029","https://openalex.org/W2023538514","https://openalex.org/W4283650582","https://openalex.org/W1984715397","https://openalex.org/W4200124026","https://openalex.org/W2904016984"],"abstract_inverted_index":{"The":[0,163],"traditional":[1,86,178,193],"combination":[2,38,87,102,111,119,155,167,215],"forecasting":[3,7,39,88,103,112,120,156,161,168,173,182,194,203,216,233],"model":[4,113,157,169,174,183,197,217,238],"has":[5],"good":[6],"effect,":[8],"but":[9],"it":[10],"needs":[11],"precise":[12],"historical":[13,30],"data.":[14,207],"In":[15],"fact,":[16],"many":[17],"random":[18],"events":[19],"are":[20,27,32,106,148],"uncertain,":[21],"and":[22,65,90,114,184],"much":[23],"of":[24,43,54,67,76,84,100,135,205,212,235],"the":[25,68,73,82,85,107,115,133,177,185,192,196,202,210,213,224,229,232,236],"data":[26,31,134,225],"imprecise;":[28],"sometimes,":[29],"lacking.":[33],"We":[34,123,208],"need":[35],"to":[36,60,71,132,140,223],"study":[37],"problems":[40],"by":[41],"means":[42],"uncertainty":[44],"theory.":[45],"Uncertain":[46],"least":[47,92,187],"squares":[48,93,188],"estimation":[49],"is":[50,170,239],"an":[51,57],"important":[52,58],"technique":[53],"uncertain":[55,77,91,101,109,116,153,164,186,214],"statistics,":[56],"way":[59],"deal":[61,200],"with":[62,158,191,201,228],"imprecise":[63,206],"data,":[64],"one":[66],"best":[69],"methods":[70],"solve":[72],"unknown":[74],"parameters":[75],"linear":[78,110,128,145,154,181],"regression":[79,129,146],"equations.":[80],"On":[81],"basis":[83],"method":[89],"estimation,":[94],"this":[95],"paper":[96],"proposes":[97],"two":[98],"kinds":[99],"models,":[104],"which":[105],"unary":[108,152],"relative":[117,165,179],"error":[118,166,180],"model,":[121,195,231],"respectively.":[122],"set":[124],"up":[125],"several":[126],"piecewise":[127,144],"models":[130,147],"according":[131,139],"different":[136],"periods":[137],"and,":[138],"certain":[141],"weights,":[142],"These":[143],"combined":[149],"into":[150],"a":[151,159,171,219],"better":[160,199],"effect.":[162],"new":[172],"that":[175],"combines":[176],"estimation.":[189],"Compared":[190],"can":[198],"problem":[204],"verify":[209],"feasibility":[211],"through":[218],"numerical":[220],"example.":[221],"According":[222],"analysis,":[226],"compared":[227],"existing":[230],"effect":[234],"proposed":[237],"better.":[240]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
