{"id":"https://openalex.org/W4404578244","doi":"https://doi.org/10.1007/s10957-024-02534-y","title":"Existence of $$\\alpha $$-Robust Weak Nash Equilibria for Leader\u2013Follower Population Games with Fuzzy Parameters","display_name":"Existence of $$\\alpha $$-Robust Weak Nash Equilibria for Leader\u2013Follower Population Games with Fuzzy Parameters","publication_year":2024,"publication_date":"2024-11-22","ids":{"openalex":"https://openalex.org/W4404578244","doi":"https://doi.org/10.1007/s10957-024-02534-y"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-024-02534-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-024-02534-y","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","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/A5058901875","display_name":"Guoling Wang","orcid":"https://orcid.org/0000-0001-8803-2354"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoling Wang","raw_affiliation_strings":["Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People\u2019s Republic of China","Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I178232147"]},{"raw_affiliation_string":"Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People's Republic of China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Miao Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Miao Wang","raw_affiliation_strings":["Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People\u2019s Republic of China","Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I178232147"]},{"raw_affiliation_string":"Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People's Republic of China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101444737","display_name":"Hui Yang","orcid":"https://orcid.org/0000-0003-3191-1782"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Yang","raw_affiliation_strings":["Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People\u2019s Republic of China","Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I178232147"]},{"raw_affiliation_string":"Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People's Republic of China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013267252","display_name":"Guanghui Yang","orcid":"https://orcid.org/0000-0002-4396-0074"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghui Yang","raw_affiliation_strings":["Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People\u2019s Republic of China","Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I178232147"]},{"raw_affiliation_string":"Guizhou Provincial Key Laboratory for Games Decision-Making and Control System, School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, Guizhou, People's Republic of China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100367568","display_name":"Chun Wang","orcid":"https://orcid.org/0000-0001-9462-9536"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]},{"id":"https://openalex.org/I8679417","display_name":"Hong Kong Metropolitan University","ror":"https://ror.org/0349bsm71","country_code":"HK","type":"education","lineage":["https://openalex.org/I8679417"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Chun Wang","raw_affiliation_strings":["School of Information Engineering, Guizhou Open University, Guiyang, 550023, Guizhou, People\u2019s Republic of China","School of Information Engineering, Guizhou Open University, Guiyang, 550023, Guizhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Guizhou Open University, Guiyang, 550023, Guizhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I178232147"]},{"raw_affiliation_string":"School of Information Engineering, Guizhou Open University, Guiyang, 550023, Guizhou, People's Republic of China","institution_ids":["https://openalex.org/I178232147","https://openalex.org/I8679417"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5058901875"],"corresponding_institution_ids":["https://openalex.org/I178232147"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31556344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"203","issue":"3","first_page":"2739","last_page":"2758"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7129983901977539},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.6457593441009521},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6078159213066101},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5484495759010315},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5029358267784119},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5012309551239014},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4673267900943756},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4643481373786926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18815475702285767},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16032108664512634},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12874719500541687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09973010420799255}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7129983901977539},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.6457593441009521},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6078159213066101},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5484495759010315},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5029358267784119},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5012309551239014},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4673267900943756},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4643481373786926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18815475702285767},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16032108664512634},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12874719500541687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09973010420799255},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-024-02534-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-024-02534-y","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:203:y:2024:i:3:d:10.1007_s10957-024-02534-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-024-02534-y","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2214190151","display_name":null,"funder_award_id":"No.[2017]59","funder_id":"https://openalex.org/F4320336617","funder_display_name":"Science and Technology Program of Guizhou Province"},{"id":"https://openalex.org/G3785051367","display_name":null,"funder_award_id":"No.[2019]1067","funder_id":"https://openalex.org/F4320335962","funder_display_name":"Natural Science Research Project of Guizhou Provincial Education Office"},{"id":"https://openalex.org/G7391829326","display_name":null,"funder_award_id":"No.[2022]168","funder_id":"https://openalex.org/F4320335962","funder_display_name":"Natural Science Research Project of Guizhou Provincial Education Office"},{"id":"https://openalex.org/G8847928987","display_name":null,"funder_award_id":"11271098","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/F4320335962","display_name":"Natural Science Research Project of Guizhou Provincial Education Office","ror":null},{"id":"https://openalex.org/F4320336617","display_name":"Science and Technology Program of Guizhou Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1515119244","https://openalex.org/W1983484213","https://openalex.org/W1998057492","https://openalex.org/W1999217356","https://openalex.org/W2038914767","https://openalex.org/W2041532617","https://openalex.org/W2042874075","https://openalex.org/W2066111511","https://openalex.org/W2069069851","https://openalex.org/W2089105401","https://openalex.org/W2089749113","https://openalex.org/W2109269924","https://openalex.org/W2181123679","https://openalex.org/W2588343274","https://openalex.org/W2751212131","https://openalex.org/W3010168422","https://openalex.org/W3012465030","https://openalex.org/W3024711959","https://openalex.org/W4211007335","https://openalex.org/W4236123449","https://openalex.org/W4249125060","https://openalex.org/W4302438448","https://openalex.org/W4386171762","https://openalex.org/W4387167526","https://openalex.org/W4390061106","https://openalex.org/W4392169137"],"related_works":["https://openalex.org/W2803931294","https://openalex.org/W2282604764","https://openalex.org/W2569414037","https://openalex.org/W2500870930","https://openalex.org/W2218535193","https://openalex.org/W4389370903","https://openalex.org/W2468739564","https://openalex.org/W1554758635","https://openalex.org/W4302558842","https://openalex.org/W2171981925"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
