{"id":"https://openalex.org/W2119837601","doi":"https://doi.org/10.1109/fuzzy.2011.6007561","title":"Study of dependency between the input noise and the parameter in fuzzy linear regression model","display_name":"Study of dependency between the input noise and the parameter in fuzzy linear regression model","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2119837601","doi":"https://doi.org/10.1109/fuzzy.2011.6007561","mag":"2119837601"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2011.6007561","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2011.6007561","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011)","raw_type":"proceedings-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/A5112337054","display_name":"Hongwei Ge","orcid":null},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongwei Ge","raw_affiliation_strings":["School of Internet of Things, Jiangnan University, Wuxi, Jiangshu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Internet of Things, Jiangnan University, Wuxi, Jiangshu, People's Republic of China","institution_ids":["https://openalex.org/I111599522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003183751","display_name":"Shitong Wang","orcid":"https://orcid.org/0000-0002-8393-6554"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shitong Wang","raw_affiliation_strings":["School of Internet of Things, Jiangnan University, Wuxi, Jiangshu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Internet of Things, Jiangnan University, Wuxi, Jiangshu, People's Republic of China","institution_ids":["https://openalex.org/I111599522"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091206975","display_name":"Wei Song","orcid":"https://orcid.org/0000-0003-2679-1069"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Song","raw_affiliation_strings":["School of Internet of Things, Jiangnan University, Wuxi, Jiangshu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Internet of Things, Jiangnan University, Wuxi, Jiangshu, People's Republic of China","institution_ids":["https://openalex.org/I111599522"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112337054"],"corresponding_institution_ids":["https://openalex.org/I111599522"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14976811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2864","last_page":"2869"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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":1.0,"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":0.9925000071525574,"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":0.9912999868392944,"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/dependency","display_name":"Dependency (UML)","score":0.8135992288589478},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6046980619430542},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5648618340492249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5538821220397949},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.5301946997642517},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5159969329833984},{"id":"https://openalex.org/keywords/linear-model","display_name":"Linear model","score":0.47876396775245667},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.47129026055336},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.457898885011673},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.397123247385025},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3788587152957916},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3263949155807495},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2596980035305023},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.248071551322937},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14271238446235657}],"concepts":[{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.8135992288589478},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6046980619430542},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5648618340492249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5538821220397949},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.5301946997642517},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5159969329833984},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.47876396775245667},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.47129026055336},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.457898885011673},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.397123247385025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3788587152957916},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3263949155807495},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2596980035305023},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.248071551322937},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14271238446235657},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2011.6007561","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2011.6007561","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W16765583","https://openalex.org/W124844327","https://openalex.org/W1572899790","https://openalex.org/W1580637085","https://openalex.org/W1976905255","https://openalex.org/W1995986371","https://openalex.org/W2014145878","https://openalex.org/W2029336792","https://openalex.org/W2061318564","https://openalex.org/W2168576494","https://openalex.org/W6600684897"],"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/W2775379093"],"abstract_inverted_index":{"When":[0],"noise":[1],"exists":[2],"in":[3,29,126],"data,":[4],"it":[5],"is":[6,45,69],"a":[7,76],"very":[8],"meaningful":[9],"topic":[10],"to":[11,24,48,61,123],"reveal":[12],"the":[13,16,20,36,42,72,81,88],"dependency":[14,85],"between":[15],"parameter":[17,89],"h":[18,90,125],"(i.e.":[19],"threshold":[21],"value":[22],"used":[23],"measure":[25],"degree":[26],"of":[27],"fit)":[28],"Fuzzy":[30],"linear":[31,55],"regression":[32,56],"(FLR)":[33],"model":[34,44,68,128],"and":[35,95],"input":[37,94,98],"noise.":[38],"In":[39],"this":[40,109,115],"paper,":[41],"FLR":[43,127],"first":[46],"extended":[47],"its":[49,63],"regularized":[50,53],"version,":[51],"i.e.":[52],"fuzzy":[54],"(RFLR)":[57],"model,":[58],"so":[59],"as":[60,71],"enhance":[62],"generalization":[64],"capability;":[65],"then":[66],"RFLR":[67],"explained":[70],"corresponding":[73],"equivalent":[74],"maximum":[75],"posteriori":[77],"MAP":[78],"problem;":[79],"finally,":[80],"approximately":[82],"inverse":[83],"proportional":[84],"relationships":[86],"that":[87,114],"with":[91,129],"Laplacian":[92],"noisy":[93,97,130],"Uniform":[96],"should":[99],"follow":[100],"are":[101],"derived,":[102],"respectively.":[103],"Our":[104],"experimental":[105],"results":[106],"also":[107],"confirm":[108],"theoretical":[110],"claim.":[111],"We":[112],"believe":[113],"conclusion":[116],"provides":[117],"an":[118],"important":[119],"reference":[120],"for":[121],"us":[122],"determine":[124],"input.":[131]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
