{"id":"https://openalex.org/W2017327151","doi":"https://doi.org/10.1109/tnnls.2013.2237787","title":"Granular Neural Networks: Concepts and Development Schemes","display_name":"Granular Neural Networks: Concepts and Development Schemes","publication_year":2013,"publication_date":"2013-01-18","ids":{"openalex":"https://openalex.org/W2017327151","doi":"https://doi.org/10.1109/tnnls.2013.2237787","mag":"2017327151","pmid":"https://pubmed.ncbi.nlm.nih.gov/24808376"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2013.2237787","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2013.2237787","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5026532752","display_name":"Mingli Song","orcid":"https://orcid.org/0000-0003-2621-6048"},"institutions":[{"id":"https://openalex.org/I75689368","display_name":"Communication University of China","ror":"https://ror.org/04facbs33","country_code":"CN","type":"education","lineage":["https://openalex.org/I75689368"]},{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA","CN"],"is_corresponding":true,"raw_author_name":"Mingli Song","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","School of Computer, Communication University of China, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"School of Computer, Communication University of China, Beijing, China","institution_ids":["https://openalex.org/I75689368"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003799782","display_name":"Witold Pedrycz","orcid":"https://orcid.org/0000-0002-9335-9930"},"institutions":[{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]}],"countries":["CA","PL","SA"],"is_corresponding":false,"raw_author_name":"W. Pedrycz","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia","Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","Saudi Arabia and Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"Saudi Arabia and Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026532752"],"corresponding_institution_ids":["https://openalex.org/I154425047","https://openalex.org/I75689368"],"apc_list":null,"apc_paid":null,"fwci":8.6565,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.97461474,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"24","issue":"4","first_page":"542","last_page":"553"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9936000108718872,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/granularity","display_name":"Granularity","score":0.9080766439437866},{"id":"https://openalex.org/keywords/granular-computing","display_name":"Granular computing","score":0.7835862040519714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.72145676612854},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.6964392066001892},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5595516562461853},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5140067338943481},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5134238004684448},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.5132443904876709},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5110646486282349},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.47281089425086975},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37153759598731995},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3357856869697571},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2735818028450012},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.2435855269432068},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1457556188106537}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.9080766439437866},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.7835862040519714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.72145676612854},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.6964392066001892},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5595516562461853},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5140067338943481},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5134238004684448},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.5132443904876709},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5110646486282349},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.47281089425086975},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37153759598731995},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3357856869697571},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2735818028450012},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.2435855269432068},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1457556188106537},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000639","qualifier_name":"trends","is_major_topic":true},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000639","qualifier_name":"trends","is_major_topic":true},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000639","qualifier_name":"trends","is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2013.2237787","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2013.2237787","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:24808376","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24808376","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W211821515","https://openalex.org/W1566419655","https://openalex.org/W1964468250","https://openalex.org/W1989130143","https://openalex.org/W1997583372","https://openalex.org/W2066668705","https://openalex.org/W2071974562","https://openalex.org/W2080710915","https://openalex.org/W2093604575","https://openalex.org/W2099491621","https://openalex.org/W2103144563","https://openalex.org/W2105712817","https://openalex.org/W2107273729","https://openalex.org/W2110229127","https://openalex.org/W2125502982","https://openalex.org/W2125899728","https://openalex.org/W2126727900","https://openalex.org/W2126964472","https://openalex.org/W2138629495","https://openalex.org/W2146490263","https://openalex.org/W2149816138","https://openalex.org/W2149940454","https://openalex.org/W2154940917","https://openalex.org/W2155019998","https://openalex.org/W2155482699","https://openalex.org/W2164554122","https://openalex.org/W2168918360","https://openalex.org/W2170104456","https://openalex.org/W2170937782"],"related_works":["https://openalex.org/W1795409297","https://openalex.org/W2013421631","https://openalex.org/W2282249876","https://openalex.org/W2907231604","https://openalex.org/W2765911721","https://openalex.org/W2534449155","https://openalex.org/W3091858790","https://openalex.org/W2264129129","https://openalex.org/W2922513649","https://openalex.org/W4239687749"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,160],"introduce":[4,76],"a":[5,8,28,77,87,155,218],"concept":[6,78],"of":[7,27,40,56,67,79,89,102,111,131,134,136,142,149,167,181,189,194,200,224],"granular":[9,20,41,165],"neural":[10,31],"network":[11,21,32,113],"and":[12,82,139,192,207,214],"develop":[13],"its":[14,54,83],"comprehensive":[15],"design":[16,97],"process.":[17],"The":[18],"proposed":[19,226],"is":[22,35,105,153],"formed":[23],"on":[24],"the":[25,38,49,57,60,72,99,109,112,127,140,143,164,168,178,211,222,225],"basis":[26],"given":[29],"(numeric)":[30],"whose":[33],"structure":[34],"augmented":[36],"by":[37],"formation":[39],"connections":[42,62,110],"(being":[43],"realized":[44],"as":[45,86,94],"intervals)":[46],"spanned":[47],"over":[48],"numeric":[50,179,190,201],"ones.":[51],"Owing":[52],"to":[53,70,126,172,177],"simplicity":[55],"underlying":[58],"processing,":[59],"interval":[61],"become":[63],"an":[64,95],"appealing":[65],"alternative":[66],"information":[68,80,90,103,137,195],"granules":[69,196],"clarify":[71],"main":[73],"idea.":[74],"We":[75],"granularity":[81,104,138],"quantification":[84],"(viewed":[85],"level":[88,101],"granularity).":[91],"Being":[92],"treated":[93],"essential":[96],"asset,":[98],"assumed":[100],"distributed":[106],"(allocated)":[107],"among":[108],"in":[114],"several":[115],"different":[116],"ways":[117],"so":[118],"that":[119],"certain":[120],"performance":[121],"index":[122],"becomes":[123],"maximized.":[124],"Due":[125],"high":[128],"dimensionality":[129],"nature":[130,141],"some":[132],"protocols":[133],"allocation":[135,144],"process":[145],"itself,":[146],"single-objective":[147],"versions":[148],"particle":[150],"swarm":[151],"optimization":[152,157],"considered":[154],"suitable":[156],"vehicle.":[158],"As":[159],"are":[161,185],"concerned":[162],"with":[163,175],"output":[166],"network,":[169],"which":[170],"has":[171],"be":[173],"evaluated":[174],"regard":[176],"target":[180],"data,":[182],"two":[183],"criteria":[184],"considered;":[186],"namely,":[187],"coverage":[188],"data":[191,206,208],"specificity":[193],"(intervals).":[197],"A":[198],"series":[199],"studies":[202],"completed":[203],"for":[204],"synthetic":[205],"coming":[209],"from":[210],"machine":[212],"learning":[213],"StatLib":[215],"repositories":[216],"provide":[217],"useful":[219],"insight":[220],"into":[221],"effectiveness":[223],"algorithm.":[227]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}