{"id":"https://openalex.org/W2954054751","doi":"https://doi.org/10.1007/s00500-019-04128-7","title":"Analytic solution of uncertain autoregressive model based on principle of least squares","display_name":"Analytic solution of uncertain autoregressive model based on principle of least squares","publication_year":2019,"publication_date":"2019-06-07","ids":{"openalex":"https://openalex.org/W2954054751","doi":"https://doi.org/10.1007/s00500-019-04128-7","mag":"2954054751"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-019-04128-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-019-04128-7","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5057368785","display_name":"Xin Zhao","orcid":"https://orcid.org/0000-0002-1621-2337"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Zhao","raw_affiliation_strings":["College of Management and Economics, Tianjin University, Tianjin, 300072, China","College of Management and Economics, Tianjin University, Tianjin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Management and Economics, Tianjin University, Tianjin, 300072, China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"College of Management and Economics, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089083556","display_name":"Jin Peng","orcid":"https://orcid.org/0000-0001-7354-5034"},"institutions":[{"id":"https://openalex.org/I10011244","display_name":"Huanggang Normal University","ror":"https://ror.org/007gf6e19","country_code":"CN","type":"education","lineage":["https://openalex.org/I10011244"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jin Peng","raw_affiliation_strings":["Institute of Uncertain Systems, Huanggang Normal University, Huanggang, 438000, Hubei, China","Institute of Uncertain Systems, Huanggang Normal University, Huanggang, China"],"raw_orcid":"https://orcid.org/0000-0001-7354-5034","affiliations":[{"raw_affiliation_string":"Institute of Uncertain Systems, Huanggang Normal University, Huanggang, 438000, Hubei, China","institution_ids":["https://openalex.org/I10011244"]},{"raw_affiliation_string":"Institute of Uncertain Systems, Huanggang Normal University, Huanggang, China","institution_ids":["https://openalex.org/I10011244"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100454044","display_name":"Jie Liu","orcid":"https://orcid.org/0000-0001-9939-0763"},"institutions":[{"id":"https://openalex.org/I10011244","display_name":"Huanggang Normal University","ror":"https://ror.org/007gf6e19","country_code":"CN","type":"education","lineage":["https://openalex.org/I10011244"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Liu","raw_affiliation_strings":["College of Mathematics and Statistics, Huanggang Normal University, Huanggang, 438000, Hubei, China","College of Mathematics and Statistics, Huanggang Normal University, Huanggang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Huanggang Normal University, Huanggang, 438000, Hubei, China","institution_ids":["https://openalex.org/I10011244"]},{"raw_affiliation_string":"College of Mathematics and Statistics, Huanggang Normal University, Huanggang, China","institution_ids":["https://openalex.org/I10011244"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101576001","display_name":"Xuejun Zhou","orcid":"https://orcid.org/0000-0002-7737-1999"},"institutions":[{"id":"https://openalex.org/I10011244","display_name":"Huanggang Normal University","ror":"https://ror.org/007gf6e19","country_code":"CN","type":"education","lineage":["https://openalex.org/I10011244"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuejun Zhou","raw_affiliation_strings":["College of Mathematics and Statistics, Huanggang Normal University, Huanggang, 438000, Hubei, China","College of Mathematics and Statistics, Huanggang Normal University, Huanggang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Huanggang Normal University, Huanggang, 438000, Hubei, China","institution_ids":["https://openalex.org/I10011244"]},{"raw_affiliation_string":"College of Mathematics and Statistics, Huanggang Normal University, Huanggang, China","institution_ids":["https://openalex.org/I10011244"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089083556"],"corresponding_institution_ids":["https://openalex.org/I10011244"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.5024,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90842541,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"24","issue":"4","first_page":"2721","last_page":"2726"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9807000160217285,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9135000109672546,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/autoregressive-model","display_name":"Autoregressive model","score":0.9223029613494873},{"id":"https://openalex.org/keywords/star-model","display_name":"STAR model","score":0.6378370523452759},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5727143883705139},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5444172620773315},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5279732346534729},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4936603009700775},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.47059476375579834},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4311203360557556},{"id":"https://openalex.org/keywords/setar","display_name":"SETAR","score":0.4117140769958496},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4028279185295105},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.34450116753578186},{"id":"https://openalex.org/keywords/autoregressive-integrated-moving-average","display_name":"Autoregressive integrated moving average","score":0.33052921295166016},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2977241277694702},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.2783684730529785},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2542875409126282},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11464342474937439},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07010918855667114}],"concepts":[{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.9223029613494873},{"id":"https://openalex.org/C194657046","wikidata":"https://www.wikidata.org/wiki/Q7394685","display_name":"STAR model","level":4,"score":0.6378370523452759},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5727143883705139},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5444172620773315},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5279732346534729},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4936603009700775},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.47059476375579834},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4311203360557556},{"id":"https://openalex.org/C30795276","wikidata":"https://www.wikidata.org/wiki/Q7389877","display_name":"SETAR","level":5,"score":0.4117140769958496},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4028279185295105},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.34450116753578186},{"id":"https://openalex.org/C24338571","wikidata":"https://www.wikidata.org/wiki/Q2566298","display_name":"Autoregressive integrated moving average","level":3,"score":0.33052921295166016},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2977241277694702},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.2783684730529785},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2542875409126282},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11464342474937439},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07010918855667114},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-019-04128-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-019-04128-7","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G8559240320","display_name":null,"funder_award_id":"No. 61873108","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W819619936","https://openalex.org/W2031294154","https://openalex.org/W2050849221","https://openalex.org/W2128376191","https://openalex.org/W2151376743","https://openalex.org/W2169243358","https://openalex.org/W2274279545","https://openalex.org/W2462654069","https://openalex.org/W2484638022","https://openalex.org/W2586222249","https://openalex.org/W2588587052","https://openalex.org/W2735215426","https://openalex.org/W2755068686","https://openalex.org/W2763792520","https://openalex.org/W2810511349","https://openalex.org/W2852697398","https://openalex.org/W2895917645","https://openalex.org/W2899474162","https://openalex.org/W2902191052","https://openalex.org/W2902251417","https://openalex.org/W2904176541","https://openalex.org/W2912189486","https://openalex.org/W2915799556","https://openalex.org/W2972325118","https://openalex.org/W4206830167","https://openalex.org/W4236577982","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4320078083","https://openalex.org/W2019155478","https://openalex.org/W1611117054","https://openalex.org/W3123153965","https://openalex.org/W2439807930","https://openalex.org/W304218021","https://openalex.org/W1902630399","https://openalex.org/W4327525404","https://openalex.org/W2009692134","https://openalex.org/W1972271943"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}