{"id":"https://openalex.org/W4411019728","doi":"https://doi.org/10.1109/tcyb.2025.3572104","title":"Reinforcement-Learning-Based Fuzzy Bipartite Consensus for Multiagent Systems: A Novel Scaling Off-Policy Learning Scheme","display_name":"Reinforcement-Learning-Based Fuzzy Bipartite Consensus for Multiagent Systems: A Novel Scaling Off-Policy Learning Scheme","publication_year":2025,"publication_date":"2025-06-04","ids":{"openalex":"https://openalex.org/W4411019728","doi":"https://doi.org/10.1109/tcyb.2025.3572104","pmid":"https://pubmed.ncbi.nlm.nih.gov/40465438"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2025.3572104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3572104","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5100378538","display_name":"Jing Wang","orcid":"https://orcid.org/0000-0002-5519-9016"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Wang","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China"],"raw_orcid":"https://orcid.org/0000-0002-5519-9016","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101613650","display_name":"Yang Qing","orcid":"https://orcid.org/0000-0003-3366-683X"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qing Yang","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-3133-7119","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043134796","display_name":"Leszek Rutkowski","orcid":"https://orcid.org/0000-0001-6960-9525"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Leszek Rutkowski","raw_affiliation_strings":["Faculty of Computer Science, AGH University of Krakow, Krak&#x00F3;w, Poland"],"raw_orcid":"https://orcid.org/0000-0001-6960-9525","affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, AGH University of Krakow, Krak&#x00F3;w, Poland","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067323219","display_name":"Hao Shen","orcid":"https://orcid.org/0000-0001-7024-6573"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Shen","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China"],"raw_orcid":"https://orcid.org/0000-0001-7024-6573","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China","institution_ids":["https://openalex.org/I92178344"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.4937,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.96161983,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"55","issue":"9","first_page":"4491","last_page":"4501"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.84170001745224,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.84170001745224,"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.7720000147819519,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.7619032263755798},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6546642780303955},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6392428874969482},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5551815629005432},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.542205274105072},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4900256395339966},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4870198369026184},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.48399877548217773},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.19510582089424133},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1458699107170105}],"concepts":[{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.7619032263755798},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6546642780303955},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6392428874969482},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5551815629005432},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.542205274105072},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4900256395339966},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4870198369026184},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.48399877548217773},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.19510582089424133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1458699107170105},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2025.3572104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3572104","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:40465438","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40465438","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 cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1322164634","display_name":null,"funder_award_id":"62173001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G328788861","display_name":null,"funder_award_id":"2022AH020034","funder_id":"https://openalex.org/F4320317137","funder_display_name":"Natural Science Foundation for Distinguished Young Scholars of Anhui Province"},{"id":"https://openalex.org/G3460663202","display_name":null,"funder_award_id":"62273006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4975918011","display_name":null,"funder_award_id":"2022AH030049","funder_id":"https://openalex.org/F4320317137","funder_display_name":"Natural Science Foundation for Distinguished Young Scholars of Anhui Province"},{"id":"https://openalex.org/G8988429466","display_name":null,"funder_award_id":"61873002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320317137","display_name":"Natural Science Foundation for Distinguished Young Scholars of Anhui Province","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1967509640","https://openalex.org/W1970786657","https://openalex.org/W1972243698","https://openalex.org/W1983523797","https://openalex.org/W2037025184","https://openalex.org/W2070016344","https://openalex.org/W2107396783","https://openalex.org/W2137460583","https://openalex.org/W2148439597","https://openalex.org/W2150823352","https://openalex.org/W2467518411","https://openalex.org/W2493687459","https://openalex.org/W2583742612","https://openalex.org/W2608903392","https://openalex.org/W2766006709","https://openalex.org/W2769537296","https://openalex.org/W2809115421","https://openalex.org/W2916105681","https://openalex.org/W3000451313","https://openalex.org/W3047879910","https://openalex.org/W3114059704","https://openalex.org/W3175636152","https://openalex.org/W3204460667","https://openalex.org/W4210732025","https://openalex.org/W4221098525","https://openalex.org/W4285116591","https://openalex.org/W4285240592","https://openalex.org/W4311909242","https://openalex.org/W4312345920","https://openalex.org/W4328007490","https://openalex.org/W4366351941","https://openalex.org/W4380318438","https://openalex.org/W4381162568","https://openalex.org/W4394744264","https://openalex.org/W4399039179","https://openalex.org/W4400078339","https://openalex.org/W4401507359","https://openalex.org/W4402808976","https://openalex.org/W4403524365","https://openalex.org/W4406011867","https://openalex.org/W4406137837","https://openalex.org/W4406521027","https://openalex.org/W4406793842","https://openalex.org/W4407448834","https://openalex.org/W4407900407"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2999799752","https://openalex.org/W2372768926","https://openalex.org/W2054458431","https://openalex.org/W2115167491","https://openalex.org/W2567825307","https://openalex.org/W3013576436"],"abstract_inverted_index":{"The":[0,99],"bipartite":[1],"consensus":[2],"(BC)":[3],"issue":[4],"for":[5,64,134],"nonlinear":[6],"multiagent":[7],"systems":[8],"(NMASs)":[9],"with":[10,128],"unknown":[11],"system":[12,122],"dynamics":[13,22,123],"information":[14],"is":[15,42,66,97,124,139,148],"investigated":[16],"in":[17,110],"this":[18],"article.":[19],"Initially,":[20],"the":[21,28,61,73,103,116,119,129,132,155,160],"of":[23,80,102,159,172],"NMASs":[24,65],"are":[25,163],"represented":[26],"using":[27],"Takagi-Sugeno":[29],"(T-S)":[30],"fuzzy":[31],"model.":[32],"Subsequently,":[33],"to":[34,48,57],"achieve":[35],"distributed":[36],"control,":[37],"a":[38,69,78,90,143,166,170],"minmax":[39],"game":[40,81],"policy":[41],"introduced,":[43],"where":[44],"each":[45],"agent":[46],"aims":[47],"minimize":[49],"its":[50,54],"performance":[51],"index":[52],"while":[53],"neighbors":[55],"attempt":[56],"maximize":[58],"it.":[59],"Consequently,":[60],"BC":[62],"problem":[63],"reformulated":[67],"as":[68],"zero-sum":[70],"game,":[71],"transforming":[72],"controller":[74],"design":[75],"into":[76],"solving":[77],"set":[79],"algebraic":[82],"Riccati":[83],"equations":[84],"(GAREs).":[85],"To":[86],"solve":[87],"such":[88],"equations,":[89],"novel":[91],"scaling":[92],"off-policy":[93],"iteration":[94],"(PI)":[95],"algorithm":[96,106],"proposed.":[98],"key":[100],"features":[101],"proposed":[104,161],"learning":[105,117],"can":[107],"be":[108],"outlined":[109],"three":[111],"main":[112],"aspects:":[113],"1)":[114],"during":[115],"process,":[118],"reliance":[120],"on":[121],"relaxed;":[125],"2)":[126],"compared":[127],"PI":[130],"method,":[131],"requirement":[133],"initial":[135],"admissible":[136],"control":[137],"policies":[138],"eliminated;":[140],"and":[141,157,169],"3)":[142],"more":[144],"rapid":[145],"convergence":[146],"speed":[147],"achieved":[149],"than":[150],"traditional":[151],"value":[152],"iteration.":[153],"Finally,":[154],"effectiveness":[156],"advantages":[158],"method":[162],"validated":[164],"through":[165],"simulation":[167],"example":[168],"series":[171],"comparative":[173],"experiments.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-16T13:24:37.021932","created_date":"2025-10-10T00:00:00"}
