{"id":"https://openalex.org/W4410771890","doi":"https://doi.org/10.1109/tfuzz.2025.3573903","title":"Multilevel Distributed Fuzzy Optimum Policy Iteration Pareto-Nash Equilibrium Seeking of Multiagent Multiobjective General Sum Games","display_name":"Multilevel Distributed Fuzzy Optimum Policy Iteration Pareto-Nash Equilibrium Seeking of Multiagent Multiobjective General Sum Games","publication_year":2025,"publication_date":"2025-05-27","ids":{"openalex":"https://openalex.org/W4410771890","doi":"https://doi.org/10.1109/tfuzz.2025.3573903"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2025.3573903","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2025.3573903","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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 Fuzzy Systems","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/A5016503021","display_name":"Xiwen Ma","orcid":"https://orcid.org/0000-0001-9212-3523"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiwen Ma","raw_affiliation_strings":["School of Oceanography, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-9212-3523","affiliations":[{"raw_affiliation_string":"School of Oceanography, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014747872","display_name":"Wei Xie","orcid":"https://orcid.org/0000-0003-4984-6659"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Xie","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-4984-6659","affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002412202","display_name":"Botao Dong","orcid":"https://orcid.org/0000-0002-2026-6856"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Botao Dong","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-2026-6856","affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017102760","display_name":"Jingsong Yang","orcid":"https://orcid.org/0000-0002-7514-3212"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingsong Yang","raw_affiliation_strings":["School of Oceanography, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-7514-3212","affiliations":[{"raw_affiliation_string":"School of Oceanography, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019419996","display_name":"Hongtian Chen","orcid":"https://orcid.org/0000-0002-8600-9668"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongtian Chen","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-8600-9668","affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100414775","display_name":"Weidong Zhang","orcid":"https://orcid.org/0000-0002-4700-1276"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weidong Zhang","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-4700-1276","affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11172972,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"8","first_page":"2652","last_page":"2662"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.8873999714851379,"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"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.8873999714851379,"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"}},{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.8234999775886536,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.7312999963760376,"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.7096308469772339},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.674981951713562},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5892376899719238},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5743826627731323},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5248339772224426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5178037881851196},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.48348456621170044},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.46385571360588074},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4616071283817291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42197978496551514},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13233640789985657}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7096308469772339},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.674981951713562},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5892376899719238},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5743826627731323},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5248339772224426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5178037881851196},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.48348456621170044},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.46385571360588074},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4616071283817291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42197978496551514},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13233640789985657}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2025.3573903","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2025.3573903","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"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 Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1586938274","display_name":null,"funder_award_id":"2022ZD0119900","funder_id":"https://openalex.org/F4320329860","funder_display_name":"National Science and Technology Major Project"},{"id":"https://openalex.org/G1779619546","display_name":null,"funder_award_id":"42227901","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5721963804","display_name":null,"funder_award_id":"U2141234","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320329860","display_name":"National Science and Technology Major Project","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1202766582","https://openalex.org/W1481965470","https://openalex.org/W1542941925","https://openalex.org/W1907356258","https://openalex.org/W1991894673","https://openalex.org/W2099618002","https://openalex.org/W2164879989","https://openalex.org/W2344622620","https://openalex.org/W2574665470","https://openalex.org/W2756442192","https://openalex.org/W2996568167","https://openalex.org/W2998367975","https://openalex.org/W3013559981","https://openalex.org/W3085565031","https://openalex.org/W3106442318","https://openalex.org/W3109286131","https://openalex.org/W3204192621","https://openalex.org/W4212937105","https://openalex.org/W4224983028","https://openalex.org/W4309343400","https://openalex.org/W4312779012","https://openalex.org/W4321441990","https://openalex.org/W4376851233","https://openalex.org/W4378805020","https://openalex.org/W4380319426","https://openalex.org/W4383336757","https://openalex.org/W4385118609","https://openalex.org/W4386108374","https://openalex.org/W4386171762","https://openalex.org/W4388206651","https://openalex.org/W4389004589","https://openalex.org/W4389284730","https://openalex.org/W4389396162","https://openalex.org/W6631168379","https://openalex.org/W6678168664","https://openalex.org/W6738796088","https://openalex.org/W6748839928","https://openalex.org/W6749304979","https://openalex.org/W6762491519","https://openalex.org/W6786364697","https://openalex.org/W6840380725"],"related_works":["https://openalex.org/W1963790170","https://openalex.org/W2073298047","https://openalex.org/W2033790662","https://openalex.org/W2090178682","https://openalex.org/W2586328217","https://openalex.org/W2049264236","https://openalex.org/W4241467429","https://openalex.org/W2001591765","https://openalex.org/W2073147994","https://openalex.org/W4312141693"],"abstract_inverted_index":{"Seeking":[0],"the":[1,23,27,37,51,74,80,84,93,97,106,111,120,129,132,150],"Pareto-Nash":[2,52,87,141],"equilibrium":[3,53,88,142],"in":[4,15,55,61,125],"multi-agent,":[5],"multi-objective":[6,76,98,114],"general-sum":[7],"games":[8],"(MMGSG)":[9],"poses":[10],"a":[11,40,136,140],"significant":[12],"challenge,":[13],"particularly":[14],"accurately":[16],"capturing":[17],"individual":[18],"preferences":[19],"and":[20,66,109,127,146],"adhering":[21],"to":[22,72,104,135],"fairness":[24],"principle":[25],"of":[26,113,122,131,149],"solution.":[28],"To":[29],"address":[30],"this":[31,33],"issue,":[32],"paper":[34],"introduces,":[35],"for":[36,49],"first":[38],"time,":[39],"multi-level":[41],"distributed":[42],"fuzzy":[43,62,68],"optimum":[44,77],"policy":[45],"iteration":[46],"(MDFOPI)":[47],"method":[48,134],"identifying":[50],"point":[54,89],"MMGSG.":[56],"This":[57,116],"approach":[58],"is":[59,90],"grounded":[60],"optimal":[63,99],"membership":[64,100],"degrees,":[65],"employs":[67],"measures":[69],"and$\\lambda$-mean":[70],"classification":[71],"construct":[73],"coupled":[75],"matrix,":[78],"utilizing":[79],"strategy":[81],"space":[82],"as":[83],"foundation.":[85],"The":[86,144],"sought":[91],"through":[92,155],"MDFOPI":[94,133],"method,":[95],"with":[96],"degree":[101],"matrix":[102],"used":[103],"organize":[105],"sampled":[107],"data":[108],"integrate":[110],"results":[112],"evaluations.":[115],"work":[117],"rigorously":[118],"proves":[119],"existence":[121],"Nash":[123],"equilibria":[124],"MMGSG":[126],"establishes":[128],"convergence":[130],"fixed":[137],"point,":[138],"specifically":[139],"point.":[143],"accuracy":[145],"practical":[147],"applicability":[148],"research":[151],"findings":[152],"are":[153],"verified":[154],"simulation":[156],"experiments.":[157]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}